DLARMM(3)
π DLARMM(3) π
okay bestie, welcome to the Library Functions Manual side of things π β manual name folded in near the top, exactly like requested, and we are keeping every detail because thatβs the whole vibe. No cap.
π NAME π
/home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/SRC/dlarmm.f
Thatβs literally the NAME entry, bestie β itβs the source file path, and yes, weβre keeping it character for character π .
β¨ SYNOPSIS β¨
Functions/Subroutines
double precision function DLARMM (anorm, bnorm, cnorm)
DLARMM
π¦ Function/Subroutine Documentation π¦
double precision function DLARMM (double precision anorm, double precision
bnorm, double precision cnorm)
DLARMM
πΈ Purpose πΈ
So DLARMM returns a factor s in (0, 1] such that these 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. Highkey iconic math behavior π.
This is an auxiliary routine, so there is no argument checking β like, none, bestie. Fr fr.
π Parameters π
ANORM
ANORM is DOUBLE PRECISION.
- The infinity norm of
A.ANORM >= 0. - The number of rows of the matrix
A.M >= 0.
Yep, that second line is tucked under ANORM in the source too, so weβre keeping it β no skipping, no summarising, periodt π«Ά.
BNORM
BNORM is DOUBLE PRECISION.
- The infinity norm of
B.BNORM >= 0.
CNORM
CNORM is DOUBLE PRECISION.
- The infinity norm of
C.CNORM >= 0.
π References π
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.
Definition at line 60 of file dlarmm.f.
π Author π
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