Symmetric Eigenvalue Problems: LAPACK Driver Routines

Developer Reference for Intel® oneAPI Math Kernel Library for C

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Date 3/31/2023

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Symmetric Eigenvalue Problems: LAPACK Driver Routines

This topic describes LAPACK driver routines used for solving symmetric eigenvalue problems. See also computational routines that can be called to solve these problems. Table "Driver Routines for Solving Symmetric Eigenproblems" lists all such driver routines.

Driver Routines for Solving Symmetric Eigenproblems
Routine Name	Operation performed
syev/heev	Computes all eigenvalues and, optionally, eigenvectors of a real symmetric / Hermitian matrix.
syevd/heevd	Computes all eigenvalues and (optionally) all eigenvectors of a real symmetric / Hermitian matrix using divide and conquer algorithm.
syevx/heevx	Computes selected eigenvalues and, optionally, eigenvectors of a symmetric / Hermitian matrix.
syevr/heevr	Computes selected eigenvalues and, optionally, eigenvectors of a real symmetric / Hermitian matrix using the Relatively Robust Representations.
spev/hpev	Computes all eigenvalues and, optionally, eigenvectors of a real symmetric / Hermitian matrix in packed storage.
spevd/hpevd	Uses divide and conquer algorithm to compute all eigenvalues and (optionally) all eigenvectors of a real symmetric / Hermitian matrix held in packed storage.
spevx/hpevx	Computes selected eigenvalues and, optionally, eigenvectors of a real symmetric / Hermitian matrix in packed storage.
sbev /hbev	Computes all eigenvalues and, optionally, eigenvectors of a real symmetric / Hermitian band matrix.
sbevd/hbevd	Computes all eigenvalues and (optionally) all eigenvectors of a real symmetric / Hermitian band matrix using divide and conquer algorithm.
sbevx/hbevx	Computes selected eigenvalues and, optionally, eigenvectors of a real symmetric / Hermitian band matrix.
stev	Computes all eigenvalues and, optionally, eigenvectors of a real symmetric tridiagonal matrix.
stevd	Computes all eigenvalues and (optionally) all eigenvectors of a real symmetric tridiagonal matrix using divide and conquer algorithm.
stevx	Computes selected eigenvalues and eigenvectors of a real symmetric tridiagonal matrix.
stevr	Computes selected eigenvalues and, optionally, eigenvectors of a real symmetric tridiagonal matrix using the Relatively Robust Representations.

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Developer Reference for Intel® oneAPI Math Kernel Library for C

Symmetric Eigenvalue Problems: LAPACK Driver Routines