Cosine-Sine Decomposition

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 (FORTRAN 77 interface) that perform CS decomposition of matrices. Respective routine names in Fortran 95 interface are without the first symbol (see Routine Naming Conventions).

Computational Routines for Cosine-Sine Decomposition (CSD)

Operation

Real matrices

Complex matrices

Compute the CS decomposition of a block-partitioned orthogonal matrix

?orcsd

Compute the CS decomposition of a block-partitioned unitary matrix

?uncsd
Parent topic: Driver Routines

See Also

CS Computational Routines

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