bundles / scipy 1.17.1 / scipy / sparse / linalg / _funm_multiply_krylov / _funm_multiply_krylov_arnoldi

function

`scipy.sparse.linalg._funm_multiply_krylov:_funm_multiply_krylov_arnoldi`

source: /scipy/sparse/linalg/_funm_multiply_krylov.py :44

Signature

def _funm_multiply_krylov_arnoldi ( A , b , bnorm , V , H , m )

Summary

The Arnoldi iteration for constructing the basis V and the projection H = V * A V for the Krylov subspace Km(A, b) of order m.

Parameters

A : transposable linear operator: The operator whose matrix function is of interest.
b : ndarray: The vector b to multiply the f(A) with.
V : ndarray: The n x (m + 1) matrix whose columns determines the basis for Krylov subspace Km(A, b).
H : ndarray: A (m + 1) x m upper Hessenberg matrix representing the projection of A onto Km(A, b).
m : int: The order of the Krylov subspace.

Returns

breakdown : bool: Indicate if the Arnoldi broke down or not
iter : int: Returns the last valid iteration.

Aliases

scipy.sparse.linalg._funm_multiply_krylov._funm_multiply_krylov_arnoldi