warp.fem.linalg

Linear algebra utilities for FEM computations.

This module provides kernel-compatible linear algebra functions including matrix decompositions (QR factorization, tensor decompositions), eigenvalue solvers, matrix inversion, and array operations commonly needed in finite element computations.

API

array_axpy	Performs y = alpha*x + beta*y
generalized_inner
generalized_outer
householder_make_hessenberg	Transforms a square matrix to Hessenberg form (single lower diagonal) using Householder reflections
householder_qr_decomposition	QR decomposition of a square matrix using Householder reflections
inverse_qr
skew_part	Skew part of a 3x3 tensor as the corresponding rotation vector
solve_triangular	Solves for R x = b where R is an upper triangular matrix
spherical_part	Spherical part of a square tensor
symmetric_eigenvalues_qr	Computes the eigenvalues and eigen vectors of a square symmetric matrix A using the QR algorithm
symmetric_part	Symmetric part of a square tensor
tridiagonal_symmetric_eigenvalues_qr	Computes the eigenvalues and eigen vectors of a symmetric tridiagonal matrix using the Symmetric tridiagonal QR algorithm with implicit Wilkinson shift