Optimized ScaLAPACK Functions

Function factorization

P?GETRF

s, d, c, z

Performs LU factorization on a general matrix, allowing row interchanges.

P?POTRF

s, d, c, z

Performs Cholesky factorization on a real symmetric or conjugate symmetric positive definite matrix.

P?GEQRF

s, d, c, z

Performs QR factorization on a general matrix.

Linear equation systems solving

P?GELS

s, d, c, z

Solves an overdetermined or underdetermined real linear system involving full-rank matrix A or its transpose through QR factorization or LQ factorization of matrix A.

P?GESV

s, d, c, z

Solves a system of linear equations using LU factorization with partially selected pivots.

Eigenvalue problem solving

P?(SY/HE)EV

s, d, c, z

Computes all eigenvalues and (optional) eigenvectors of real symmetric matrix or complex Hermitian matrix A.

P?(SY/HE)EVD

s, d, c, z

Computes all eigenvalues and eigenvectors of real symmetric matrix or complex Hermitian matrix A.