TESTING/LIN/claptm.f(3)

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version 3.12.1 · 3 versions
, in arch rolling

💖 NAME 💖

This is the TESTING/LIN/claptm.f(3) page, bestie — manual name folded in right here. The source file is TESTING/LIN/claptm.f, and the header vibe is Library Functions Manual. 🎀

🌸 SYNOPSIS 🌸

✨ Functions/Subroutines ✨

Ok so the function list is literally giving main-character energy:

       subroutine claptm (uplo, n, nrhs, alpha, d, e, x, ldx, beta, b, ldb)
           CLAPTM

🦋 Function/Subroutine Documentation 🦋

Here’s the full signature, copied exactly so we don’t lose the plot:

subroutine claptm (character uplo, integer n, integer nrhs, real alpha,
       real, dimension( * ) d, complex, dimension( * ) e, complex, dimension(
       ldx, * ) x, integer ldx, real beta, complex, dimension( ldb, * ) b,
       integer ldb)
       CLAPTM

🎯 Purpose 🎯

CLAPTM multiplies an N by NRHS matrix X by a Hermitian tridiagonal matrix A and stores the result in a matrix B. The operation has the form

B := alpha * A * X + beta * B

where alpha may be either 1. or -1. and beta may be 0., 1., or -1. periodt ✨

💅 Parameters 💅

  • UPLO — UPLO is CHARACTER. It specifies whether the superdiagonal or the subdiagonal of the tridiagonal matrix A is stored:
    • = 'U': Upper, E is the superdiagonal of A.
    • = 'L': Lower, E is the subdiagonal of A.
  • N — N is INTEGER. The order of the matrix A. N >= 0.
  • NRHS — NRHS is INTEGER. The number of right hand sides, i.e., the number of columns of the matrices X and B.
  • ALPHA — ALPHA is REAL. The scalar alpha. ALPHA must be 1. or -1.; otherwise, it is assumed to be 0.
  • D — D is REAL array, dimension (N). The n diagonal elements of the tridiagonal matrix A.
  • E — E is COMPLEX array, dimension (N-1). The (n-1) subdiagonal or superdiagonal elements of A.
  • X — X is COMPLEX array, dimension (LDX,NRHS). The N by NRHS matrix X.
  • LDX — LDX is INTEGER. The leading dimension of the array X. LDX >= max(N,1).
  • BETA — BETA is REAL. The scalar beta. BETA must be 0., 1., or -1.; otherwise, it is assumed to be 1.
  • B — B is COMPLEX array, dimension (LDB,NRHS). On entry, the N by NRHS matrix B. On exit, B is overwritten by the matrix expression B := alpha * A * X + beta * B.
  • LDB — LDB is INTEGER. The leading dimension of the array B. LDB >= max(N,1).

👑 Author 👑

  • Univ. of Tennessee
  • Univ. of California Berkeley
  • Univ. of Colorado Denver
  • NAG Ltd.

Definition at line 127 of file claptm.f.

🤖 Author 🤖

Generated automatically by Doxygen for LAPACK from the source code.

Source/version tea: LAPACK, Version 3.12.0. Date: not listed on this page, so no invented date, bestie 💅🫶

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