Struct ndarray_linalg::tridiagonal::Tridiagonal
source · [−]pub struct Tridiagonal<A>where
A: Scalar,{
pub l: MatrixLayout,
pub dl: Vec<A, Global>,
pub d: Vec<A, Global>,
pub du: Vec<A, Global>,
}
Expand description
Represents a tridiagonal matrix as 3 one-dimensional vectors.
[d0, u1, 0, ..., 0,
l1, d1, u2, ...,
0, l2, d2,
... ..., u{n-1},
0, ..., l{n-1}, d{n-1},]
Fields
l: MatrixLayout
layout of raw matrix
dl: Vec<A, Global>
(n-1) sub-diagonal elements of matrix.
d: Vec<A, Global>
(n) diagonal elements of matrix.
du: Vec<A, Global>
(n-1) super-diagonal elements of matrix.
Trait Implementations
sourceimpl<A> Clone for Tridiagonal<A>where
A: Clone + Scalar,
impl<A> Clone for Tridiagonal<A>where
A: Clone + Scalar,
sourcefn clone(&self) -> Tridiagonal<A>
fn clone(&self) -> Tridiagonal<A>
Returns a copy of the value. Read more
1.0.0 · sourcefn clone_from(&mut self, source: &Self)
fn clone_from(&mut self, source: &Self)
Performs copy-assignment from
source
. Read moresourceimpl<A> DeterminantTridiagonal<A> for Tridiagonal<A>where
A: Scalar,
impl<A> DeterminantTridiagonal<A> for Tridiagonal<A>where
A: Scalar,
sourcefn det_tridiagonal(&self) -> Result<A>
fn det_tridiagonal(&self) -> Result<A>
Computes the determinant of the matrix.
Unlike
.det()
of Determinant trait, this method
doesn’t returns the natural logarithm of the determinant
but the determinant itself. Read moresourceimpl<A> FactorizeTridiagonal<A> for Tridiagonal<A>where
A: Scalar + Lapack,
impl<A> FactorizeTridiagonal<A> for Tridiagonal<A>where
A: Scalar + Lapack,
sourcefn factorize_tridiagonal(&self) -> Result<LUFactorizedTridiagonal<A>>
fn factorize_tridiagonal(&self) -> Result<LUFactorizedTridiagonal<A>>
sourceimpl<A> FactorizeTridiagonalInto<A> for Tridiagonal<A>where
A: Scalar + Lapack,
impl<A> FactorizeTridiagonalInto<A> for Tridiagonal<A>where
A: Scalar + Lapack,
sourcefn factorize_tridiagonal_into(self) -> Result<LUFactorizedTridiagonal<A>>
fn factorize_tridiagonal_into(self) -> Result<LUFactorizedTridiagonal<A>>
sourceimpl<A> OperationNorm for Tridiagonal<A>where
A: Scalar + Lapack,
impl<A> OperationNorm for Tridiagonal<A>where
A: Scalar + Lapack,
fn opnorm(&self, t: NormType) -> Result<Self::Output>
sourcefn opnorm_one(&self) -> Result<Self::Output>
fn opnorm_one(&self) -> Result<Self::Output>
the one norm of a matrix (maximum column sum)
sourcefn opnorm_inf(&self) -> Result<Self::Output>
fn opnorm_inf(&self) -> Result<Self::Output>
the infinity norm of a matrix (maximum row sum)
sourcefn opnorm_fro(&self) -> Result<Self::Output>
fn opnorm_fro(&self) -> Result<Self::Output>
the Frobenius norm of a matrix (square root of sum of squares)
sourceimpl<A> PartialEq<Tridiagonal<A>> for Tridiagonal<A>where
A: PartialEq<A> + Scalar,
impl<A> PartialEq<Tridiagonal<A>> for Tridiagonal<A>where
A: PartialEq<A> + Scalar,
sourcefn eq(&self, other: &Tridiagonal<A>) -> bool
fn eq(&self, other: &Tridiagonal<A>) -> bool
sourceimpl<A> SolveTridiagonal<A, Dim<[usize; 1]>> for Tridiagonal<A>where
A: Scalar + Lapack,
impl<A> SolveTridiagonal<A, Dim<[usize; 1]>> for Tridiagonal<A>where
A: Scalar + Lapack,
sourcefn solve_tridiagonal<Sb: Data<Elem = A>>(
&self,
b: &ArrayBase<Sb, Ix1>
) -> Result<Array<A, Ix1>>
fn solve_tridiagonal<Sb: Data<Elem = A>>(
&self,
b: &ArrayBase<Sb, Ix1>
) -> Result<Array<A, Ix1>>
Solves a system of linear equations
A * x = b
with tridiagonal
matrix A
, where A
is self
, b
is the argument, and
x
is the successful result. Read moresourcefn solve_tridiagonal_into<Sb: DataMut<Elem = A>>(
&self,
b: ArrayBase<Sb, Ix1>
) -> Result<ArrayBase<Sb, Ix1>>
fn solve_tridiagonal_into<Sb: DataMut<Elem = A>>(
&self,
b: ArrayBase<Sb, Ix1>
) -> Result<ArrayBase<Sb, Ix1>>
Solves a system of linear equations
A * x = b
with tridiagonal
matrix A
, where A
is self
, b
is the argument, and
x
is the successful result. Read moresourcefn solve_t_tridiagonal<Sb: Data<Elem = A>>(
&self,
b: &ArrayBase<Sb, Ix1>
) -> Result<Array<A, Ix1>>
fn solve_t_tridiagonal<Sb: Data<Elem = A>>(
&self,
b: &ArrayBase<Sb, Ix1>
) -> Result<Array<A, Ix1>>
Solves a system of linear equations
A^T * x = b
with tridiagonal
matrix A
, where A
is self
, b
is the argument, and
x
is the successful result. Read moresourcefn solve_t_tridiagonal_into<Sb: DataMut<Elem = A>>(
&self,
b: ArrayBase<Sb, Ix1>
) -> Result<ArrayBase<Sb, Ix1>>
fn solve_t_tridiagonal_into<Sb: DataMut<Elem = A>>(
&self,
b: ArrayBase<Sb, Ix1>
) -> Result<ArrayBase<Sb, Ix1>>
Solves a system of linear equations
A^T * x = b
with tridiagonal
matrix A
, where A
is self
, b
is the argument, and
x
is the successful result. Read moresourceimpl<A> SolveTridiagonal<A, Dim<[usize; 2]>> for Tridiagonal<A>where
A: Scalar + Lapack,
impl<A> SolveTridiagonal<A, Dim<[usize; 2]>> for Tridiagonal<A>where
A: Scalar + Lapack,
sourcefn solve_tridiagonal<Sb: Data<Elem = A>>(
&self,
b: &ArrayBase<Sb, Ix2>
) -> Result<Array<A, Ix2>>
fn solve_tridiagonal<Sb: Data<Elem = A>>(
&self,
b: &ArrayBase<Sb, Ix2>
) -> Result<Array<A, Ix2>>
Solves a system of linear equations
A * x = b
with tridiagonal
matrix A
, where A
is self
, b
is the argument, and
x
is the successful result. Read moresourcefn solve_tridiagonal_into<Sb: DataMut<Elem = A>>(
&self,
b: ArrayBase<Sb, Ix2>
) -> Result<ArrayBase<Sb, Ix2>>
fn solve_tridiagonal_into<Sb: DataMut<Elem = A>>(
&self,
b: ArrayBase<Sb, Ix2>
) -> Result<ArrayBase<Sb, Ix2>>
Solves a system of linear equations
A * x = b
with tridiagonal
matrix A
, where A
is self
, b
is the argument, and
x
is the successful result. Read moresourcefn solve_t_tridiagonal<Sb: Data<Elem = A>>(
&self,
b: &ArrayBase<Sb, Ix2>
) -> Result<Array<A, Ix2>>
fn solve_t_tridiagonal<Sb: Data<Elem = A>>(
&self,
b: &ArrayBase<Sb, Ix2>
) -> Result<Array<A, Ix2>>
Solves a system of linear equations
A^T * x = b
with tridiagonal
matrix A
, where A
is self
, b
is the argument, and
x
is the successful result. Read moresourcefn solve_t_tridiagonal_into<Sb: DataMut<Elem = A>>(
&self,
b: ArrayBase<Sb, Ix2>
) -> Result<ArrayBase<Sb, Ix2>>
fn solve_t_tridiagonal_into<Sb: DataMut<Elem = A>>(
&self,
b: ArrayBase<Sb, Ix2>
) -> Result<ArrayBase<Sb, Ix2>>
Solves a system of linear equations
A^T * x = b
with tridiagonal
matrix A
, where A
is self
, b
is the argument, and
x
is the successful result. Read moresourceimpl<A> SolveTridiagonalInplace<A, Dim<[usize; 2]>> for Tridiagonal<A>where
A: Scalar + Lapack,
impl<A> SolveTridiagonalInplace<A, Dim<[usize; 2]>> for Tridiagonal<A>where
A: Scalar + Lapack,
sourcefn solve_tridiagonal_inplace<'a, Sb>(
&self,
rhs: &'a mut ArrayBase<Sb, Ix2>
) -> Result<&'a mut ArrayBase<Sb, Ix2>>where
Sb: DataMut<Elem = A>,
fn solve_tridiagonal_inplace<'a, Sb>(
&self,
rhs: &'a mut ArrayBase<Sb, Ix2>
) -> Result<&'a mut ArrayBase<Sb, Ix2>>where
Sb: DataMut<Elem = A>,
Solves a system of linear equations
A * x = b
tridiagonal
matrix A
, where A
is self
, b
is the argument, and
x
is the successful result. The value of x
is also assigned to the
argument. Read moresourcefn solve_t_tridiagonal_inplace<'a, Sb>(
&self,
rhs: &'a mut ArrayBase<Sb, Ix2>
) -> Result<&'a mut ArrayBase<Sb, Ix2>>where
Sb: DataMut<Elem = A>,
fn solve_t_tridiagonal_inplace<'a, Sb>(
&self,
rhs: &'a mut ArrayBase<Sb, Ix2>
) -> Result<&'a mut ArrayBase<Sb, Ix2>>where
Sb: DataMut<Elem = A>,
Solves a system of linear equations
A^T * x = b
tridiagonal
matrix A
, where A
is self
, b
is the argument, and
x
is the successful result. The value of x
is also assigned to the
argument. Read moresourcefn solve_h_tridiagonal_inplace<'a, Sb>(
&self,
rhs: &'a mut ArrayBase<Sb, Ix2>
) -> Result<&'a mut ArrayBase<Sb, Ix2>>where
Sb: DataMut<Elem = A>,
fn solve_h_tridiagonal_inplace<'a, Sb>(
&self,
rhs: &'a mut ArrayBase<Sb, Ix2>
) -> Result<&'a mut ArrayBase<Sb, Ix2>>where
Sb: DataMut<Elem = A>,
Solves a system of linear equations
A^H * x = b
tridiagonal
matrix A
, where A
is self
, b
is the argument, and
x
is the successful result. The value of x
is also assigned to the
argument. Read moreimpl<A> Eq for Tridiagonal<A>where
A: Eq + Scalar,
impl<A> StructuralEq for Tridiagonal<A>where
A: Scalar,
impl<A> StructuralPartialEq for Tridiagonal<A>where
A: Scalar,
Auto Trait Implementations
impl<A> RefUnwindSafe for Tridiagonal<A>where
A: RefUnwindSafe,
impl<A> Send for Tridiagonal<A>where
A: Send,
impl<A> Sync for Tridiagonal<A>where
A: Sync,
impl<A> Unpin for Tridiagonal<A>where
A: Unpin,
impl<A> UnwindSafe for Tridiagonal<A>where
A: UnwindSafe,
Blanket Implementations
sourceimpl<T> BorrowMut<T> for Twhere
T: ?Sized,
impl<T> BorrowMut<T> for Twhere
T: ?Sized,
const: unstable · sourcefn borrow_mut(&mut self) -> &mut T
fn borrow_mut(&mut self) -> &mut T
Mutably borrows from an owned value. Read more