SVD

advanced_algorithms::numerical::svd

Struct SVD

pub struct SVD { /* private fields */ }

Expand description

SVD decomposition result

Implementations§

impl SVD

pub fn decompose( matrix: &[Vec<f64>], tolerance: f64, max_iterations: usize, ) -> Result<Self>

Performs Singular Value Decomposition

Uses the Golub-Reinsch algorithm for SVD computation

§Arguments

matrix - An m×n matrix
tolerance - Convergence tolerance
max_iterations - Maximum iterations for convergence

§Returns

SVD decomposition containing U, Σ, and V^T

pub fn u(&self) -> &[Vec<f64>]

Returns the U matrix (left singular vectors)

pub fn singular_values(&self) -> &[f64]

Returns the singular values

pub fn vt(&self) -> &[Vec<f64>]

Returns the V^T matrix (right singular vectors transposed)

pub fn rank(&self, tolerance: f64) -> usize

Computes the matrix rank

pub fn condition_number(&self) -> f64

Computes the condition number (ratio of largest to smallest singular value)

Auto Trait Implementations§

impl Freeze for SVD

impl RefUnwindSafe for SVD

impl Send for SVD

impl Sync for SVD

impl Unpin for SVD

impl UnwindSafe for SVD

Blanket Implementations§

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

fn type_id(&self) -> TypeId

Gets the TypeId of self. Read more

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

fn borrow(&self) -> &T

Immutably borrows from an owned value. Read more

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

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

Mutably borrows from an owned value. Read more

impl<T> From<T> for T

fn from(t: T) -> T

Returns the argument unchanged.

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

fn into(self) -> U

Calls U::from(self).

That is, this conversion is whatever the implementation of From<T> for U chooses to do.

impl<T> IntoEither for T

fn into_either(self, into_left: bool) -> Either<Self, Self>

Converts self into a Left variant of Either<Self, Self> if into_left is true. Converts self into a Right variant of Either<Self, Self> otherwise. Read more

fn into_either_with<F>(self, into_left: F) -> Either<Self, Self>
where F: FnOnce(&Self) -> bool,

Converts self into a Left variant of Either<Self, Self> if into_left(&self) returns true. Converts self into a Right variant of Either<Self, Self> otherwise. Read more

impl<T> Pointable for T

const ALIGN: usize

The alignment of pointer.

type Init = T

The type for initializers.

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

Initializes a with the given initializer. Read more

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

Dereferences the given pointer. Read more

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

Mutably dereferences the given pointer. Read more

unsafe fn drop(ptr: usize)

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

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

type Error = Infallible

The type returned in the event of a conversion error.

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

Performs the conversion.

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

type Error = <U as TryFrom<T>>::Error

The type returned in the event of a conversion error.

fn try_into(self) -> Result<U, <U as TryFrom<T>>::Error>

Performs the conversion.

impl<V, T> VZip<V> for T
where V: MultiLane<T>,

fn vzip(self) -> V