DOKK / manpages / debian 13 / liblapack-doc / larmm.3.en
larmm(3) LAPACK larmm(3)

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


double precision function dlarmm (anorm, bnorm, cnorm)
DLARMM real function slarmm (anorm, bnorm, cnorm)
SLARMM

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.

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.

Generated automatically by Doxygen for LAPACK from the source code.

Thu Aug 7 2025 17:26:25 Version 3.12.0