## Developer Reference

• 2022.1
• 12/20/2021
• Public Content
Contents

# LAPACK Examples

Routine
Description
Examples
Computes the eigenvalues and, optionally, the left and/or right eigenvectors of a general matrix.
Uses
QR
or
LQ
factorization to solve an overdetermined or underdetermined linear system with a full rank matrix.
Computes the minimum norm solution to a linear least squares problem using the singular value decomposition of
A
and a divide and conquer method.
Computes the singular value decomposition of a general rectangular matrix using a divide and conquer algorithm.
Computes the solution to the system of linear equations with a square matrix
A
and multiple right-hand sides.
Computes the singular value decomposition of a general rectangular matrix.
Computes all the eigenvalues and, optionally, the eigenvectors of a Hermitian matrix.
Computes all the eigenvalues and, optionally, all the eigenvectors of a complex Hermitian matrix using a divide and conquer algorithm.
Computes the selected eigenvalues and, optionally, the eigenvectors of a Hermitian matrix using the Relatively Robust Representations.
Computes the selected eigenvalues and, optionally, the eigenvectors of a Hermitian matrix.
Computes the solution to the system of linear equations with a Hermitian matrix
A
and multiple right-hand sides.
Computes the solution to the system of linear equations with a symmetric or Hermitian positive definite matrix
A
and multiple right-hand sides.
Computes all the eigenvalues and, optionally, the eigenvectors of a real symmetric matrix.
Computes all the eigenvalues and, optionally, all the eigenvectors of a real symmetric matrix using a divide and conquer algorithm.
Computes the selected eigenvalues and, optionally, the eigenvectors of a real symmetric matrix using the Relatively Robust Representations.
Computes the selected eigenvalues and, optionally, the eigenvectors of a symmetric matrix.
Computes the solution to the system of linear equations with a real or complex symmetric matrix
A
and multiple right-hand sides.

#### Product and Performance Information

1

Performance varies by use, configuration and other factors. Learn more at www.Intel.com/PerformanceIndex.