Other Matrix/Vector Operations

This section describes a set of routines for matrix/vector operations. The matrix copy and conversion routines are summarized by the following table:

 

To

From

Real
General

Complex
General

Real
Band

Complex
Band

Real General

CRGRG

CRGCG

CRGRB

 

Complex General

 

CCGCG

 

CCGCB

Real Band

CRBRG

 

CRBRB

CRBCB

Complex Band

 

CCBCG

 

CCBCB

Symmetric Full

CSFRG

 

 

 

Hermitian Full

 

CHFCG

 

 

Symmetric Band

 

 

CSBRB

 

Hermitian Band

 

 

 

CHBCB

The matrix multiplication routines are summarized as follows:

 

AB

A

B

Real
Rect.

Complex
Rect.

Real
Band

Complex
Band

Real Rectangular

MRRRR

 

 

 

Complex Rect.

 

MCRCR

 

 

Vector

MURRV

MUCRV

MURBV

MUCBV

The matrix norm routines are summarized as follows:

 

||A||

Real
Rectangular

Real
Band

Complex
Band

-norm

NRIRR

 

 

1-norm

NR1RR

NR1RB

NR1CB

Frobenius

NR2RR

 

 


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