Intel® oneAPI Math Kernel Library Developer Reference - C

Cosine-Sine Decomposition: LAPACK Driver Routines

This topic describes LAPACK driver routines for computing the cosine-sine decomposition (CS decomposition). You can also call the corresponding computational routines to perform the same task.

The computation has the following phases:

  1. The matrix is reduced to a bidiagonal block form.
  2. The blocks are simultaneously diagonalized using techniques from the bidiagonal SVD algorithms.

Table "Driver Routines for Cosine-Sine Decomposition (CSD)" lists LAPACK routines that perform CS decomposition of matrices.

Computational Routines for Cosine-Sine Decomposition (CSD)

Operation

Real matrices

Complex matrices

Compute the CS decomposition of a block-partitioned orthogonal matrix

orcsd uncsd

Compute the CS decomposition of a block-partitioned unitary matrix

orcsd uncsd

See Also

CS Computational Routines