CTRMM(3)

📦 version 3.12.0, in opensuse-leap 16.0

💖 CTRMM(3) 💖

okay bestie so this is a page from the Library Functions Manual (the ctrmm.f(3) one, from /home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/BLAS/SRC/ctrmm.f — yes that's the whole entire path, no I'm not shortening it, it's part of the lore 💅)

✨ SYNOPSIS ✨

Functions / Subroutines

subroutine CTRMM (side, uplo, transa, diag, m, n, alpha, a, lda, b, ldb)

CTRMM 🫶

🎀 Function / Subroutine Documentation 🎀

subroutine CTRMM (character side, character uplo, character transa,
    character diag, integer m, integer n, complex alpha, complex,
    dimension(lda,*) a, integer lda, complex, dimension(ldb,*) b, integer
    ldb)

CTRMM ✨

💜 Purpose 💜

bestie, CTRMM performs one of the matrix-matrix operations:

B := alpha*op( A )*B,   or   B := alpha*B*op( A )

where alpha is a scalar, B is an m by n matrix, A is a unit, or non-unit, upper or lower triangular matrix and op( A ) is one of:

op( A ) = A   or   op( A ) = A**T   or   op( A ) = A**H.

like, that's it, that's the whole vibe 🔥

🌸 Parameters 🌸

  • SIDE — SIDE is CHARACTER*1. on entry, SIDE specifies whether op( A ) multiplies B from the left or right, as follows:
    • SIDE = 'L' or 'l' → B := alpha*op( A )*B.
    • SIDE = 'R' or 'r' → B := alpha*B*op( A ).
  • UPLO — UPLO is CHARACTER*1. on entry, UPLO specifies whether the matrix A is an upper or lower triangular matrix, as follows:
    • UPLO = 'U' or 'u' → A is an upper triangular matrix.
    • UPLO = 'L' or 'l' → A is a lower triangular matrix.
  • TRANSA — TRANSA is CHARACTER*1. on entry, TRANSA specifies the form of op( A ) to be used in the matrix multiplication, as follows:
    • TRANSA = 'N' or 'n' → op( A ) = A.
    • TRANSA = 'T' or 't' → op( A ) = A**T.
    • TRANSA = 'C' or 'c' → op( A ) = A**H.
  • DIAG — DIAG is CHARACTER*1. on entry, DIAG specifies whether or not A is unit triangular, as follows:
    • DIAG = 'U' or 'u' → A is assumed to be unit triangular.
    • DIAG = 'N' or 'n' → A is not assumed to be unit triangular.
  • M — M is INTEGER. on entry, M specifies the number of rows of B. no cap, M must be at least zero 🫶
  • N — N is INTEGER. on entry, N specifies the number of columns of B. N must be at least zero ✨
  • ALPHA — ALPHA is COMPLEX. on entry, ALPHA specifies the scalar alpha. iconic detail: when alpha is zero then A is not referenced and B need not be set before entry 💀 (free real estate!)
  • A — A is COMPLEX array, dimension ( LDA, k ), where k is m when SIDE = 'L' or 'l' and is n when SIDE = 'R' or 'r'.
    • before entry with UPLO = 'U' or 'u', the leading k by k upper triangular part of the array A must contain the upper triangular matrix, and the strictly lower triangular part of A is not referenced.
    • before entry with UPLO = 'L' or 'l', the leading k by k lower triangular part of the array A must contain the lower triangular matrix, and the strictly upper triangular part of A is not referenced.
    • note that when DIAG = 'U' or 'u', the diagonal elements of A are not referenced either, but are assumed to be unity 👑
  • LDA — LDA is INTEGER. on entry, LDA specifies the first dimension of A as declared in the calling (sub) program. when SIDE = 'L' or 'l' then LDA must be at least max( 1, m ); when SIDE = 'R' or 'r' then LDA must be at least max( 1, n ).
  • B — B is COMPLEX array, dimension ( LDB, N ). before entry, the leading m by n part of the array B must contain the matrix B, and on exit it is overwritten by the transformed matrix 😭 (she's a main character, she changes)
  • LDB — LDB is INTEGER. on entry, LDB specifies the first dimension of B as declared in the calling (sub) program. LDB must be at least max( 1, m ).

👑 Author 👑

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

🦋 Further Details: 🦋

Level 3 Blas routine. ✨

-- Written on 8-February-1989.
   Jack Dongarra, Argonne National Laboratory.
   Iain Duff, AERE Harwell.
   Jeremy Du Croz, Numerical Algorithms Group Ltd.
   Sven Hammarling, Numerical Algorithms Group Ltd.
legend behaviour honestly, 1989 and still slaying 🎀

Definition at line 176 of file ctrmm.f.

💫 Author 💫

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and that's the whole page bestie!! this gorgeous thing is from LAPACK, Version 3.12.0 — auto-generated by Doxygen for LAPACK straight from the source code, path and all (/home/abui...SRC/ctrmm.f(3)), hope you had the best time reading it, mwah 💖💅✨

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