Man page - larmm(3)

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Manual

larmm

NAME
SYNOPSIS
Functions
Detailed Description
Function Documentation
double precision function dlarmm (double precision anorm, double precisionbnorm, double precision cnorm)
real function slarmm (real anorm, real bnorm, real cnorm)
Author

NAME

larmm - larmm: scale factor to avoid overflow, step in latrs

SYNOPSIS

Functions

double precision function dlarmm (anorm, bnorm, cnorm)
DLARMM

real function slarmm (anorm, bnorm, cnorm)
SLARMM

Detailed Description

Function Documentation

double precision function dlarmm (double precision anorm, double precisionbnorm, double precision cnorm)

DLARMM

Purpose:

DLARMM returns a factor s in (0, 1] such that the linear updates

(s * C) - A * (s * B) and (s * C) - (s * A) * B

cannot overflow, where A, B, and C are matrices of conforming
dimensions.

This is an auxiliary routine so there is no argument checking.

Parameters

ANORM

ANORM is DOUBLE PRECISION
The infinity norm of A. ANORM >= 0.
The number of rows of the matrix A. M >= 0.

BNORM

BNORM is DOUBLE PRECISION
The infinity norm of B. BNORM >= 0.

CNORM

CNORM is DOUBLE PRECISION
The infinity norm of C. CNORM >= 0.

References: C. C. Kjelgaard Mikkelsen and L. Karlsson, Blocked Algorithms for Robust Solution of Triangular Linear Systems. In: International Conference on Parallel Processing and Applied Mathematics, pages 68--78. Springer, 2017.

real function slarmm (real anorm, real bnorm, real cnorm)

SLARMM

Purpose:

SLARMM returns a factor s in (0, 1] such that the linear updates

(s * C) - A * (s * B) and (s * C) - (s * A) * B

cannot overflow, where A, B, and C are matrices of conforming
dimensions.

This is an auxiliary routine so there is no argument checking.

Parameters

ANORM

ANORM is REAL
The infinity norm of A. ANORM >= 0.
The number of rows of the matrix A. M >= 0.

BNORM

BNORM is REAL
The infinity norm of B. BNORM >= 0.

CNORM

CNORM is REAL
The infinity norm of C. CNORM >= 0.

References: C. C. Kjelgaard Mikkelsen and L. Karlsson, Blocked Algorithms for Robust Solution of Triangular Linear Systems. In: International Conference on Parallel Processing and Applied Mathematics, pages 68--78. Springer, 2017.

Author

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