Contents

# 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
Computes all eigenvalues and, optionally, eigenvectors of a real symmetric / Hermitian matrix.
Computes all eigenvalues and (optionally) all eigenvectors of a real symmetric / Hermitian matrix using divide and conquer algorithm.
Computes selected eigenvalues and, optionally, eigenvectors of a symmetric / Hermitian matrix.
Computes selected eigenvalues and, optionally, eigenvectors of a real symmetric / Hermitian matrix using the Relatively Robust Representations.
Computes all eigenvalues and, optionally, eigenvectors of a real symmetric / Hermitian matrix in packed storage.
Uses divide and conquer algorithm to compute all eigenvalues and (optionally) all eigenvectors of a real symmetric / Hermitian matrix held in packed storage.
Computes selected eigenvalues and, optionally, eigenvectors of a real symmetric / Hermitian matrix in packed storage.
Computes all eigenvalues and, optionally, eigenvectors of a real symmetric / Hermitian band matrix.
Computes all eigenvalues and (optionally) all eigenvectors of a real symmetric / Hermitian band matrix using divide and conquer algorithm.
Computes selected eigenvalues and, optionally, eigenvectors of a real symmetric / Hermitian band matrix.
Computes all eigenvalues and, optionally, eigenvectors of a real symmetric tridiagonal matrix.
Computes all eigenvalues and (optionally) all eigenvectors of a real symmetric tridiagonal matrix using divide and conquer algorithm.
Computes selected eigenvalues and eigenvectors of a real symmetric tridiagonal matrix.
Computes selected eigenvalues and, optionally, eigenvectors of a real symmetric tridiagonal matrix using the Relatively Robust Representations.

#### Product and Performance Information

1

Intel's compilers may or may not optimize to the same degree for non-Intel microprocessors for optimizations that are not unique to Intel microprocessors. These optimizations include SSE2, SSE3, and SSSE3 instruction sets and other optimizations. Intel does not guarantee the availability, functionality, or effectiveness of any optimization on microprocessors not manufactured by Intel. Microprocessor-dependent optimizations in this product are intended for use with Intel microprocessors. Certain optimizations not specific to Intel microarchitecture are reserved for Intel microprocessors. Please refer to the applicable product User and Reference Guides for more information regarding the specific instruction sets covered by this notice.

Notice revision #20110804