Struct opensrdk_linear_algebra::matrix::ge::Matrix

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pub struct Matrix<T = f64> where
    T: Number,  { /* private fields */ }

Expand description

Matrix

use opensrdk_linear_algebra::*;

let a = mat!(
  1.0, 2.0;
  3.0, 4.0
);
assert_eq!(a[0], [1.0, 3.0]);
assert_eq!(a[1], [2.0, 4.0]);

assert_eq!(a[(0, 0)], 1.0);
assert_eq!(a[(0, 1)], 2.0);
assert_eq!(a[(1, 0)], 3.0);
assert_eq!(a[(1, 1)], 4.0);

Implementations

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impl Matrix

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pub fn posv_cgm(
 vec_mul: &dyn Fn(Vec<f64>) -> Result<Vec<f64>, Box<dyn Error + Send + Sync>>,
 b: Vec<f64>,
 iterations: usize
) -> Result<Vec<f64>, MatrixError>

Solve equations with Conjugate Gradient Method

for positiveDefinite matrix

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impl Matrix

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pub fn potrf(self) -> Result<POTRF, MatrixError>

Cholesky decomposition

for positive definite f64 matrix

https://en.wikipedia.org/wiki/Cholesky_decomposition

A = L * L^T

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impl Matrix<c64>

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pub fn potrf(self) -> Result<POTRF<c64>, MatrixError>

Cholesky decomposition

for positive definite c64 matrix

https://en.wikipedia.org/wiki/Cholesky_decomposition

A = L * L^*

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impl Matrix

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pub fn sytrd(self) -> Result<SYTRD, MatrixError>

Tridiagonalize

for symmetric matrix

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pub fn sytrd_k(
 n: usize,
 k: usize,
 vec_mul: &dyn Fn(Vec<f64>) -> Result<Vec<f64>, Box<dyn Error + Send + Sync>>,
 probe: Option<&[f64 ]>
) -> Result<(Matrix, SymmetricTridiagonalMatrix ), MatrixError>

Lanczos algorithm

for symmetric matrix only k iteration

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pub fn trdet(&self) -> T

Determinant

for triangle matrix To apply this method to none triangle matrix, use LU decomposition or Cholesky decomposition.

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impl Matrix

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pub fn gemm(
 self,
 lhs: &Matrix,
 rhs: &Matrix,
 alpha: f64,
 beta: f64
) -> Result<Matrix, MatrixError>

C = self A = lhs B = rhs return alpha*op( A )op( B ) + betaC,

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impl Matrix<c64>

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pub fn gemm(
 self,
 lhs: &Matrix<c64>,
 rhs: &Matrix<c64>,
 alpha: c64,
 beta: c64
) -> Result<Matrix<c64>, MatrixError>

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impl Matrix<c64>

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pub fn adjoint(&self) -> Matrix<c64>

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impl<T> Matrix<T> where
T: Number,

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pub fn linear_prod(&self, rhs: &Matrix<T>) -> T

Linear product

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pub fn hadamard_prod(self, rhs: &Matrix<T>) -> Matrix<T>

Hamadard product

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impl<T> Matrix<T> where
T: Number,

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pub fn t(&self) -> Matrix<T>

Transpose

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impl<T> Matrix<T> where
T: Number,

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pub fn tr(&self) -> T

Trace

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impl Matrix

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pub fn gesvd(self) -> Result<(Matrix, Matrix, Matrix ), MatrixError>

Singular Value Decomposition

https://en.wikipedia.org/wiki/Singular_value_decomposition

M = U * Sigma * V^T (u, sigma, vt)

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impl Matrix

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pub fn getrf(self) -> Result<GETRF, MatrixError>

LU decomposition

for f64

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impl Matrix<c64>

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pub fn getrf(self) -> Result<GETRF<c64>, MatrixError>

LU decomposition

for c64

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impl<T> Matrix<T> where
T: Number,

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pub fn new(rows: usize, cols: usize) -> Self

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pub fn from(rows: usize, elems: Vec<T>) -> Result<Self, MatrixError>

You can do unwrap() if you have a conviction that elems.len() % rows == 0

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pub fn same_size(&self, rhs: &Matrix<T>) -> bool

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pub fn rows(&self) -> usize

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pub fn cols(&self) -> usize

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pub fn vec(self) -> Vec<T>

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pub fn elems(&self) -> &[T]ⓘ
Notable traits for &'_ mut [u8 ]
`impl<'_> Write for &'_ mut [u8]impl<'_> Read for &'_ [u8]`

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pub fn elems_mut(&mut self) -> &mut [T]ⓘ
Notable traits for &'_ mut [u8 ]
`impl<'_> Write for &'_ mut [u8]impl<'_> Read for &'_ [u8]`

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pub fn reshape(self, rows: usize) -> Self

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pub fn eject_row(&self, index: usize) -> Vec<T>

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pub fn eject_sub_matrix(
 &self,
 start_i: usize,
 start_j: usize,
 rows: usize,
 cols: usize
) -> Matrix<T>

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impl Matrix<f64>

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pub fn to_complex(&self) -> Matrix<c64>

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impl Matrix<c64>

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pub fn to_real(&self) -> (Matrix<f64>, Matrix<f64>)

Trait Implementations

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impl<T> Add<&'_ DiagonalMatrix<T>> for Matrix<T> where
T: Number,

type Output = Matrix<T>

The resulting type after applying the + operator.

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fn add(self, rhs: &DiagonalMatrix<T>) -> Self::Output

Performs the + operation. Read more

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impl<T> Add<&'_ Matrix<T>> for Matrix<T> where
T: Number,

type Output = Matrix<T>

The resulting type after applying the + operator.

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fn add(self, rhs: &Matrix<T>) -> Self::Output

Performs the + operation. Read more

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impl<T> Add<DiagonalMatrix<T>> for Matrix<T> where
T: Number,

type Output = Matrix<T>

The resulting type after applying the + operator.

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fn add(self, rhs: DiagonalMatrix<T>) -> Self::Output

Performs the + operation. Read more

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impl Add<Matrix<Complex<f64>>> for c64

type Output = Matrix<c64>

The resulting type after applying the + operator.

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fn add(self, rhs: Matrix<c64>) -> Self::Output

Performs the + operation. Read more

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impl<T> Add<Matrix<T>> for DiagonalMatrix<T> where
T: Number,

type Output = Matrix<T>

The resulting type after applying the + operator.

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fn add(self, rhs: Matrix<T>) -> Self::Output

Performs the + operation. Read more

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impl<T> Add<Matrix<T>> for &DiagonalMatrix<T> where
T: Number,

type Output = Matrix<T>

The resulting type after applying the + operator.

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fn add(self, rhs: Matrix<T>) -> Self::Output

Performs the + operation. Read more

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impl<T> Add<Matrix<T>> for Matrix<T> where
T: Number,

type Output = Matrix<T>

The resulting type after applying the + operator.

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fn add(self, rhs: Matrix<T>) -> Self::Output

Performs the + operation. Read more

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impl<T> Add<Matrix<T>> for &Matrix<T> where
T: Number,

type Output = Matrix<T>

The resulting type after applying the + operator.

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fn add(self, rhs: Matrix<T>) -> Self::Output

Performs the + operation. Read more

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impl Add<Matrix<f64>> for f64

type Output = Matrix

The resulting type after applying the + operator.

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fn add(self, rhs: Matrix) -> Self::Output

Performs the + operation. Read more

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impl<T> Add<T> for Matrix<T> where
T: Number,

type Output = Matrix<T>

The resulting type after applying the + operator.

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fn add(self, rhs: T) -> Self::Output

Performs the + operation. Read more

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impl<T: Clone> Clone for Matrix<T> where
T: Number,

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fn clone(&self) -> Matrix<T>

Returns a copy of the value. Read more

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fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source. Read more

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impl<T: Debug> Debug for Matrix<T> where
T: Number,

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fn fmt(&self, f: &mut Formatter<'_>) -> Result

Formats the value using the given formatter. Read more

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impl<T: Default> Default for Matrix<T> where
T: Number,

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fn default() -> Matrix<T>

Returns the “default value” for a type. Read more

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impl Div<&'_ Complex<f64>> for Matrix<c64>

type Output = Matrix<c64>

The resulting type after applying the / operator.

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fn div(self, rhs: &c64) -> Self::Output

Performs the / operation. Read more

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impl Div<&'_ f64> for Matrix<f64>

type Output = Matrix<f64>

The resulting type after applying the / operator.

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fn div(self, rhs: &f64) -> Self::Output

Performs the / operation. Read more

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impl Div<Complex<f64>> for Matrix<c64>

type Output = Matrix<c64>

The resulting type after applying the / operator.

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fn div(self, rhs: c64) -> Self::Output

Performs the / operation. Read more

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impl Div<f64> for Matrix<f64>

type Output = Matrix<f64>

The resulting type after applying the / operator.

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fn div(self, rhs: f64) -> Self::Output

Performs the / operation. Read more

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impl<T: Hash> Hash for Matrix<T> where
T: Number,

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fn hash<H: Hasher>(&self, state: &mut H)

Feeds this value into the given Hasher. Read more

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fn hash_slice<H>(data: &[Self], state: &mut H) where
H: Hasher,

Feeds a slice of this type into the given Hasher. Read more

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impl<T> Index<(usize, usize )> for Matrix<T> where
T: Number,

type Output = T

The returned type after indexing.

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fn index(&self, index: (usize, usize )) -> &Self::Output

Performs the indexing (container[index]) operation. Read more

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impl<T> Index<usize> for Matrix<T> where
T: Number,

type Output = [T]

The returned type after indexing.

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fn index(&self, index: usize) -> &Self::Output

Performs the indexing (container[index]) operation. Read more

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impl<T> IndexMut<(usize, usize )> for Matrix<T> where
T: Number,

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fn index_mut(&mut self, index: (usize, usize )) -> &mut Self::Output

Performs the mutable indexing (container[index]) operation. Read more

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impl<T> IndexMut<usize> for Matrix<T> where
T: Number,

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fn index_mut(&mut self, index: usize) -> &mut Self::Output

Performs the mutable indexing (container[index]) operation. Read more

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impl Mul<&'_ Complex<f64>> for Matrix<c64>

type Output = Matrix<c64>

The resulting type after applying the * operator.

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fn mul(self, rhs: &c64) -> Self::Output

Performs the * operation. Read more

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impl Mul<&'_ Matrix<Complex<f64>>> for Matrix<c64>

type Output = Matrix<c64>

The resulting type after applying the * operator.

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fn mul(self, rhs: &Matrix<c64>) -> Self::Output

Performs the * operation. Read more

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impl Mul<&'_ Matrix<Complex<f64>>> for &Matrix<c64>

type Output = Matrix<c64>

The resulting type after applying the * operator.

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fn mul(self, rhs: &Matrix<c64>) -> Self::Output

Performs the * operation. Read more

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impl<T> Mul<&'_ Matrix<T>> for SparseMatrix<T> where
T: Number,

type Output = Matrix<T>

The resulting type after applying the * operator.

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fn mul(self, rhs: &Matrix<T>) -> Self::Output

Performs the * operation. Read more

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impl<T> Mul<&'_ Matrix<T>> for &SparseMatrix<T> where
T: Number,

type Output = Matrix<T>

The resulting type after applying the * operator.

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fn mul(self, rhs: &Matrix<T>) -> Self::Output

Performs the * operation. Read more

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impl Mul<&'_ Matrix<f64>> for Matrix<f64>

type Output = Matrix<f64>

The resulting type after applying the * operator.

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fn mul(self, rhs: &Matrix<f64>) -> Self::Output

Performs the * operation. Read more

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impl Mul<&'_ Matrix<f64>> for &Matrix<f64>

type Output = Matrix<f64>

The resulting type after applying the * operator.

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fn mul(self, rhs: &Matrix<f64>) -> Self::Output

Performs the * operation. Read more

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impl<T> Mul<&'_ SparseMatrix<T>> for Matrix<T> where
T: Number,

type Output = Matrix<T>

The resulting type after applying the * operator.

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fn mul(self, rhs: &SparseMatrix<T>) -> Self::Output

Performs the * operation. Read more

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impl<T> Mul<&'_ SparseMatrix<T>> for &Matrix<T> where
T: Number,

type Output = Matrix<T>

The resulting type after applying the * operator.

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fn mul(self, rhs: &SparseMatrix<T>) -> Self::Output

Performs the * operation. Read more

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impl Mul<&'_ f64> for Matrix<f64>

type Output = Matrix<f64>

The resulting type after applying the * operator.

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fn mul(self, rhs: &f64) -> Self::Output

Performs the * operation. Read more

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impl Mul<Complex<f64>> for Matrix<c64>

type Output = Matrix<c64>

The resulting type after applying the * operator.

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fn mul(self, rhs: c64) -> Self::Output

Performs the * operation. Read more

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impl Mul<Matrix<Complex<f64>>> for c64

type Output = Matrix<c64>

The resulting type after applying the * operator.

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fn mul(self, rhs: Matrix<c64>) -> Self::Output

Performs the * operation. Read more

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impl Mul<Matrix<Complex<f64>>> for &c64

type Output = Matrix<c64>

The resulting type after applying the * operator.

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fn mul(self, rhs: Matrix<c64>) -> Self::Output

Performs the * operation. Read more

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impl Mul<Matrix<Complex<f64>>> for Matrix<c64>

type Output = Matrix<c64>

The resulting type after applying the * operator.

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fn mul(self, rhs: Matrix<c64>) -> Self::Output

Performs the * operation. Read more

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impl Mul<Matrix<Complex<f64>>> for &Matrix<c64>

type Output = Matrix<c64>

The resulting type after applying the * operator.

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fn mul(self, rhs: Matrix<c64>) -> Self::Output

Performs the * operation. Read more

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impl<T> Mul<Matrix<T>> for SparseMatrix<T> where
T: Number,

type Output = Matrix<T>

The resulting type after applying the * operator.

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fn mul(self, rhs: Matrix<T>) -> Self::Output

Performs the * operation. Read more

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impl<T> Mul<Matrix<T>> for &SparseMatrix<T> where
T: Number,

type Output = Matrix<T>

The resulting type after applying the * operator.

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fn mul(self, rhs: Matrix<T>) -> Self::Output

Performs the * operation. Read more

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impl Mul<Matrix<f64>> for f64

type Output = Matrix<f64>

The resulting type after applying the * operator.

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fn mul(self, rhs: Matrix<f64>) -> Self::Output

Performs the * operation. Read more

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impl Mul<Matrix<f64>> for &f64

type Output = Matrix<f64>

The resulting type after applying the * operator.

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fn mul(self, rhs: Matrix<f64>) -> Self::Output

Performs the * operation. Read more

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impl Mul<Matrix<f64>> for Matrix<f64>

type Output = Matrix<f64>

The resulting type after applying the * operator.

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fn mul(self, rhs: Matrix<f64>) -> Self::Output

Performs the * operation. Read more

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impl Mul<Matrix<f64>> for &Matrix<f64>

type Output = Matrix<f64>

The resulting type after applying the * operator.

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fn mul(self, rhs: Matrix<f64>) -> Self::Output

Performs the * operation. Read more

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impl<T> Mul<SparseMatrix<T>> for Matrix<T> where
T: Number,

type Output = Matrix<T>

The resulting type after applying the * operator.

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fn mul(self, rhs: SparseMatrix<T>) -> Self::Output

Performs the * operation. Read more

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impl<T> Mul<SparseMatrix<T>> for &Matrix<T> where
T: Number,

type Output = Matrix<T>

The resulting type after applying the * operator.

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fn mul(self, rhs: SparseMatrix<T>) -> Self::Output

Performs the * operation. Read more

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impl Mul<f64> for Matrix<f64>

type Output = Matrix<f64>

The resulting type after applying the * operator.

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fn mul(self, rhs: f64) -> Self::Output

Performs the * operation. Read more

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impl<T> Neg for Matrix<T> where
T: Number,

type Output = Self

The resulting type after applying the - operator.

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fn neg(self) -> Self::Output

Performs the unary - operation. Read more

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impl<T: PartialEq> PartialEq<Matrix<T>> for Matrix<T> where
T: Number,

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fn eq(&self, other: &Matrix<T>) -> bool

This method tests for self and other values to be equal, and is used by ==. Read more

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fn ne(&self, other: &Matrix<T>) -> bool

This method tests for !=.

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impl<T> Sub<&'_ DiagonalMatrix<T>> for Matrix<T> where
T: Number,

type Output = Matrix<T>

The resulting type after applying the - operator.

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fn sub(self, rhs: &DiagonalMatrix<T>) -> Self::Output

Performs the - operation. Read more

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impl<T> Sub<&'_ Matrix<T>> for Matrix<T> where
T: Number,

type Output = Matrix<T>

The resulting type after applying the - operator.

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fn sub(self, rhs: &Matrix<T>) -> Self::Output

Performs the - operation. Read more

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impl<T> Sub<DiagonalMatrix<T>> for Matrix<T> where
T: Number,

type Output = Matrix<T>

The resulting type after applying the - operator.

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fn sub(self, rhs: DiagonalMatrix<T>) -> Self::Output

Performs the - operation. Read more

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impl Sub<Matrix<Complex<f64>>> for c64

type Output = Matrix<c64>

The resulting type after applying the - operator.

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fn sub(self, rhs: Matrix<c64>) -> Self::Output

Performs the - operation. Read more

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impl<T> Sub<Matrix<T>> for DiagonalMatrix<T> where
T: Number,

type Output = Matrix<T>

The resulting type after applying the - operator.

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fn sub(self, rhs: Matrix<T>) -> Self::Output

Performs the - operation. Read more

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impl<T> Sub<Matrix<T>> for &DiagonalMatrix<T> where
T: Number,

type Output = Matrix<T>

The resulting type after applying the - operator.

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fn sub(self, rhs: Matrix<T>) -> Self::Output

Performs the - operation. Read more

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impl<T> Sub<Matrix<T>> for Matrix<T> where
T: Number,

type Output = Matrix<T>

The resulting type after applying the - operator.

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fn sub(self, rhs: Matrix<T>) -> Self::Output

Performs the - operation. Read more

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impl<T> Sub<Matrix<T>> for &Matrix<T> where
T: Number,

type Output = Matrix<T>

The resulting type after applying the - operator.

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fn sub(self, rhs: Matrix<T>) -> Self::Output

Performs the - operation. Read more

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impl Sub<Matrix<f64>> for f64

type Output = Matrix

The resulting type after applying the - operator.

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fn sub(self, rhs: Matrix) -> Self::Output

Performs the - operation. Read more

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impl<T> Sub<T> for Matrix<T> where
T: Number,

type Output = Matrix<T>

The resulting type after applying the - operator.

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fn sub(self, rhs: T) -> Self::Output

Performs the - operation. Read more

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impl<T> SubMatrix<T> for Matrix<T> where
T: Number,

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fn size(&self) -> (usize, usize )

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fn index(&self, i: usize, j: usize) -> T

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impl<T> SubMatrix<T> for &Matrix<T> where
T: Number,

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fn size(&self) -> (usize, usize )

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fn index(&self, i: usize, j: usize) -> T

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impl<T> StructuralPartialEq for Matrix<T> where
T: Number,

Auto Trait Implementations

impl<T> RefUnwindSafe for Matrix<T> where
T: RefUnwindSafe,

impl<T> Send for Matrix<T>

impl<T> Sync for Matrix<T>

impl<T> Unpin for Matrix<T> where
T: Unpin,

impl<T> UnwindSafe for Matrix<T> where
T: UnwindSafe,

Blanket Implementations

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impl<T> Any for T where
T: 'static + ?Sized,

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pub fn type_id(&self) -> TypeId

Gets the TypeId of self. Read more

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impl<T> Borrow<T> for T where
T: ?Sized,

const: unstable · source

pub fn borrow(&self) -> &T

Immutably borrows from an owned value. Read more

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impl<T> BorrowMut<T> for T where
T: ?Sized,

const: unstable · source

pub fn borrow_mut(&mut self) -> &mut T

Mutably borrows from an owned value. Read more

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impl<T> From<T> for T

const: unstable · source

pub fn from(t: T) -> T

Performs the conversion.

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impl<T, U> Into for T where
U: From<T>,

const: unstable · source

pub fn into(self) -> U

Performs the conversion.

impl<T> Pointable for T

pub const ALIGN: usize

The alignment of pointer.

type Init = T

The type for initializers.

pub unsafe fn init(init: <T as Pointable>::Init) -> usize

Initializes a with the given initializer. Read more

pub unsafe fn deref<'a>(ptr: usize) -> &'a T

Dereferences the given pointer. Read more

pub unsafe fn deref_mut<'a>(ptr: usize) -> &'a mut T

Mutably dereferences the given pointer. Read more

pub unsafe fn drop(ptr: usize)

Drops the object pointed to by the given pointer. Read more

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impl<T> ToOwned for T where
T: Clone,

type Owned = T

The resulting type after obtaining ownership.

source

pub fn to_owned(&self) -> T

Creates owned data from borrowed data, usually by cloning. Read more

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pub fn clone_into(&self, target: &mut T)

🔬 This is a nightly-only experimental API. (toowned_clone_into)

Uses borrowed data to replace owned data, usually by cloning. Read more

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impl<T, U> TryFrom for T where
U: Into<T>,

type Error = Infallible

The type returned in the event of a conversion error.

const: unstable · source

pub fn try_from(value: U) -> Result<T, <T as TryFrom>::Error>

Performs the conversion.

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impl<T, U> TryInto for T where
U: TryFrom<T>,

type Error = >::Error

The type returned in the event of a conversion error.

const: unstable · source

pub fn try_into(self) -> Result<U, >::Error>

Performs the conversion.

Struct opensrdk_linear_algebra::matrix::ge::Matrix

Implementations

impl Matrix

pub fn posv_cgm( vec_mul: &dyn Fn(Vec<f64>) -> Result<Vec<f64>, Box<dyn Error + Send + Sync>>, b: Vec<f64>, iterations: usize) -> Result<Vec<f64>, MatrixError>

impl Matrix

pub fn potrf(self) -> Result<POTRF, MatrixError>

impl Matrix<c64>

pub fn potrf(self) -> Result<POTRF<c64>, MatrixError>

impl Matrix

pub fn sytrd(self) -> Result<SYTRD, MatrixError>

pub fn sytrd_k( n: usize, k: usize, vec_mul: &dyn Fn(Vec<f64>) -> Result<Vec<f64>, Box<dyn Error + Send + Sync>>, probe: Option<&[f64]>) -> Result<(Matrix, SymmetricTridiagonalMatrix), MatrixError>

impl Matrix

pub fn sytrf(self) -> Result<SYTRF, MatrixError>

impl Matrix<c64>

pub fn sytrf(self) -> Result<SYTRF<c64>, MatrixError>

pub fn hetrf(self) -> Result<HETRF, MatrixError>

impl<T> Matrix<T> where T: Number,

pub fn trdet(&self) -> T

impl Matrix

pub fn gemm( self, lhs: &Matrix, rhs: &Matrix, alpha: f64, beta: f64) -> Result<Matrix, MatrixError>

impl Matrix<c64>

pub fn gemm( self, lhs: &Matrix<c64>, rhs: &Matrix<c64>, alpha: c64, beta: c64) -> Result<Matrix<c64>, MatrixError>

impl Matrix<c64>

pub fn adjoint(&self) -> Matrix<c64>

impl<T> Matrix<T> where T: Number,

pub fn linear_prod(&self, rhs: &Matrix<T>) -> T

pub fn hadamard_prod(self, rhs: &Matrix<T>) -> Matrix<T>

impl<T> Matrix<T> where T: Number,

pub fn t(&self) -> Matrix<T>

impl<T> Matrix<T> where T: Number,

pub fn tr(&self) -> T

impl Matrix

pub fn gesvd(self) -> Result<(Matrix, Matrix, Matrix), MatrixError>

impl Matrix

pub fn getrf(self) -> Result<GETRF, MatrixError>

impl Matrix<c64>

pub fn getrf(self) -> Result<GETRF<c64>, MatrixError>

impl<T> Matrix<T> where T: Number,

pub fn new(rows: usize, cols: usize) -> Self

pub fn from(rows: usize, elems: Vec<T>) -> Result<Self, MatrixError>

pub fn same_size(&self, rhs: &Matrix<T>) -> bool

pub fn rows(&self) -> usize

pub fn cols(&self) -> usize

pub fn vec(self) -> Vec<T>

pub fn elems(&self) -> &[T]ⓘNotable traits for &'_ mut [u8]impl<'_> Write for &'_ mut [u8]impl<'_> Read for &'_ [u8]

pub fn elems_mut(&mut self) -> &mut [T]ⓘNotable traits for &'_ mut [u8]impl<'_> Write for &'_ mut [u8]impl<'_> Read for &'_ [u8]

pub fn reshape(self, rows: usize) -> Self

pub fn eject_row(&self, index: usize) -> Vec<T>

pub fn eject_sub_matrix( &self, start_i: usize, start_j: usize, rows: usize, cols: usize) -> Matrix<T>

impl Matrix<f64>

pub fn to_complex(&self) -> Matrix<c64>

impl Matrix<c64>

pub fn to_real(&self) -> (Matrix<f64>, Matrix<f64>)

Trait Implementations

impl<T> Add<&'_ DiagonalMatrix<T>> for Matrix<T> where T: Number,

type Output = Matrix<T>

fn add(self, rhs: &DiagonalMatrix<T>) -> Self::Output

impl<T> Add<&'_ Matrix<T>> for Matrix<T> where T: Number,

type Output = Matrix<T>

fn add(self, rhs: &Matrix<T>) -> Self::Output

impl<T> Add<DiagonalMatrix<T>> for Matrix<T> where T: Number,

type Output = Matrix<T>

fn add(self, rhs: DiagonalMatrix<T>) -> Self::Output

impl Add<Matrix<Complex<f64>>> for c64

type Output = Matrix<c64>

fn add(self, rhs: Matrix<c64>) -> Self::Output

impl<T> Add<Matrix<T>> for DiagonalMatrix<T> where T: Number,

type Output = Matrix<T>

fn add(self, rhs: Matrix<T>) -> Self::Output

impl<T> Add<Matrix<T>> for &DiagonalMatrix<T> where T: Number,

type Output = Matrix<T>

fn add(self, rhs: Matrix<T>) -> Self::Output

impl<T> Add<Matrix<T>> for Matrix<T> where T: Number,

type Output = Matrix<T>

fn add(self, rhs: Matrix<T>) -> Self::Output

impl<T> Add<Matrix<T>> for &Matrix<T> where T: Number,

type Output = Matrix<T>

fn add(self, rhs: Matrix<T>) -> Self::Output

impl Add<Matrix<f64>> for f64

type Output = Matrix

pub fn posv_cgm(
vec_mul: &dyn Fn(Vec<f64>) -> Result<Vec<f64>, Box<dyn Error + Send + Sync>>,
b: Vec<f64>,
iterations: usize
) -> Result<Vec<f64>, MatrixError>

pub fn sytrd_k(
n: usize,
k: usize,
vec_mul: &dyn Fn(Vec<f64>) -> Result<Vec<f64>, Box<dyn Error + Send + Sync>>,
probe: Option<&[f64 ]>
) -> Result<(Matrix, SymmetricTridiagonalMatrix ), MatrixError>

impl<T> Matrix<T> where
T: Number,

pub fn gemm(
self,
lhs: &Matrix,
rhs: &Matrix,
alpha: f64,
beta: f64
) -> Result<Matrix, MatrixError>

pub fn gemm(
self,
lhs: &Matrix<c64>,
rhs: &Matrix<c64>,
alpha: c64,
beta: c64
) -> Result<Matrix<c64>, MatrixError>

impl<T> Matrix<T> where
T: Number,

impl<T> Matrix<T> where
T: Number,

impl<T> Matrix<T> where
T: Number,

pub fn gesvd(self) -> Result<(Matrix, Matrix, Matrix ), MatrixError>

impl<T> Matrix<T> where
T: Number,

pub fn elems(&self) -> &[T]ⓘ
Notable traits for &'_ mut [u8 ]
`impl<'_> Write for &'_ mut [u8]impl<'_> Read for &'_ [u8]`

pub fn elems_mut(&mut self) -> &mut [T]ⓘ
Notable traits for &'_ mut [u8 ]
`impl<'_> Write for &'_ mut [u8]impl<'_> Read for &'_ [u8]`

pub fn eject_sub_matrix(
&self,
start_i: usize,
start_j: usize,
rows: usize,
cols: usize
) -> Matrix<T>

impl<T> Add<&'_ DiagonalMatrix<T>> for Matrix<T> where
T: Number,

impl<T> Add<&'_ Matrix<T>> for Matrix<T> where
T: Number,

impl<T> Add<DiagonalMatrix<T>> for Matrix<T> where
T: Number,

impl<T> Add<Matrix<T>> for DiagonalMatrix<T> where
T: Number,

impl<T> Add<Matrix<T>> for &DiagonalMatrix<T> where
T: Number,

impl<T> Add<Matrix<T>> for Matrix<T> where
T: Number,

impl<T> Add<Matrix<T>> for &Matrix<T> where
T: Number,

impl<T> Add<T> for Matrix<T> where
T: Number,

impl<T: Clone> Clone for Matrix<T> where
T: Number,

impl<T: Debug> Debug for Matrix<T> where
T: Number,

impl<T: Default> Default for Matrix<T> where
T: Number,

impl<T: Hash> Hash for Matrix<T> where
T: Number,

fn hash<H: Hasher>(&self, state: &mut H)

fn hash_slice<H>(data: &[Self], state: &mut H) where
H: Hasher,

impl<T> Index<(usize, usize )> for Matrix<T> where
T: Number,

fn index(&self, index: (usize, usize )) -> &Self::Output

impl<T> Index<usize> for Matrix<T> where
T: Number,

impl<T> IndexMut<(usize, usize )> for Matrix<T> where
T: Number,

fn index_mut(&mut self, index: (usize, usize )) -> &mut Self::Output

impl<T> IndexMut<usize> for Matrix<T> where
T: Number,

impl<T> Mul<&'_ Matrix<T>> for SparseMatrix<T> where
T: Number,