Struct HermitianEigendecomposition

Source

pub struct HermitianEigendecomposition<T> {
    pub eigenvalues: Vec<f64>,
    pub eigenvectors: Matrix<T>,
}

Expand description

Full eigendecomposition of a small Hermitian projected matrix.

eigenvectors stores one normalized eigenvector per column in column-major Matrix layout. Eigenvalues are returned in the backend’s ascending Hermitian eigensolver order.

§Examples

use tensor4all_tensorbackend::{hermitian_eigendecomposition, Matrix};

let matrix = Matrix::from_col_major_vec(2, 2, vec![1.0, 0.0, 0.0, 2.0]);
let decomp = hermitian_eigendecomposition(&matrix, 1.0e-12).unwrap();
assert_eq!(decomp.eigenvalues, vec![1.0, 2.0]);
assert_eq!(decomp.eigenvectors.nrows(), 2);
assert_eq!(decomp.eigenvectors.ncols(), 2);

Fields§

§eigenvalues: Vec<f64>

Real eigenvalues of the Hermitian matrix.

§eigenvectors: Matrix<T>

Eigenvector matrix with one eigenvector in each column.

Trait Implementations§

Source §

impl<T: Clone> Clone for HermitianEigendecomposition<T>

Source §

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

Returns a duplicate of the value. Read more

1.0.0 (const: unstable) · Source§

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

Performs copy-assignment from source. Read more

Source §

impl<T: Debug> Debug for HermitianEigendecomposition<T>

Source §

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

Formats the value using the given formatter. Read more

Auto Trait Implementations§

§

impl<T> Freeze for HermitianEigendecomposition<T>

§

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

§

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

Blanket Implementations§

Source §

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

Source §

fn type_id(&self) -> TypeId

Gets the TypeId of self. Read more

Source §

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

Source §

fn borrow(&self) -> &T

Immutably borrows from an owned value. Read more

Source §

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

Source §

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

Mutably borrows from an owned value. Read more

§

impl<T> ByRef<T> for T

§

fn by_ref(&self) -> &T

§

impl<ST, DT> CastableFrom<ST, Initialized, Initialized> for DT
where ST: ?Sized, DT: ?Sized,

§

impl<ST, DT> CastableFrom<ST, Uninit, Uninit> for DT
where ST: ?Sized, DT: ?Sized,

Source §

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

Source §

unsafe fn clone_to_uninit(&self, dest: *mut u8)

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

Performs copy-assignment from self to dest. Read more

Source §

impl<T> From<T> for T

Source §

fn from(t: T) -> T

Returns the argument unchanged.

§

impl<T, U> Imply<T> for U
where T: ?Sized, U: ?Sized,

Source §

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

Source §

fn into(self) -> U

Calls U::from(self).

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

Source §

impl<T> IntoEither for T

Source §

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

Source §

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

§