larmm(3) LAPACK larmm(3)
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 precision
bnorm, 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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