SRC/dlarmm.f(3)

📦
version 3.12.1 · 3 versions
, in arch rolling

💖 NAME 💖

SRC/dlarmm.f — that's the page, bestie, and it lives in the Library Functions Manual. We're talking LAPACK helper energy only. 💅

✨ SYNOPSIS ✨

🧚 Functions/Subroutines 🧚

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

🦋 Function/Subroutine Documentation 🦋

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

🎀 Purpose 🎀

Okay 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. No cap, that's the whole point. 🔥

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

💖 Parameters 💖

  • ANORM — bestie, here's what it says:
    • ANORM is DOUBLE PRECISION
    • The infinity norm of A. ANORM >= 0.
    • The number of rows of the matrix A. M >= 0.
  • BNORM — yup:
    • BNORM is DOUBLE PRECISION
    • The infinity norm of B. BNORM >= 0.
  • CNORM — and finally:
    • 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.

Definition at line 60 of file dlarmm.f.

🌈 Author 🌈

Generated automatically by Doxygen for LAPACK from the source code.

💖 okay bestie, footer check: this is SRC/dlarmm.f(3) from LAPACK, Version 3.12.0. The footer doesn't give a date, so there's literally no date to quote. mwah 🫶✨

📦 where this page comes from