BLAS/SRC/dtrmm.f(3)

🌸 NAME 🌸

okay so bestie, this is the manual page for BLAS/SRC/dtrmm.f — yes, from the Library Functions Manual and the BLAS/SRC/dtrmm.f(3) page. It's literally the DTRMM subroutine, and it's here to do triangular matrix-matrix multiplication. 💅✨

✨ SYNOPSIS ✨

🎀 Functions/Subroutines 🎀

• subroutine dtrmm (side, uplo, transa, diag, m, n, alpha, a, lda, b, ldb) — DTRMM

🦋 Function/Subroutine Documentation 🦋

okay so the full signature is giving:

subroutine dtrmm (character side, character uplo, character transa,
    character diag, integer m, integer n, double precision alpha,
    double precision, dimension(lda,*) a, integer lda, double precision,
    dimension(ldb,*) b, integer ldb)

DTRMM

🌟 Purpose 🌟

DTRMM performs one of these matrix-matrix operations, no cap:

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.

💅 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**T.
• 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. 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 DOUBLE PRECISION. On entry, ALPHA specifies the scalar alpha. When alpha is zero then A is not referenced and B need not be set before entry.
• A — A is DOUBLE PRECISION 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 DOUBLE PRECISION array, dimension ( LDB, N ). Before entry, the leading m by n part of the array B must contain the matrix B, and on exit is overwritten by the transformed matrix.
• 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.

Definition at line 176 of file dtrmm.f.

🧚 Author (the Doxygen auto-gen one) 🧚

Generated automatically by Doxygen for LAPACK from the source code.

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mwah 💋 that's the whole page, bestie. Source page: BLAS/SRC/dtrmm.f(3); version: LAPACK Version 3.12.0. bye 🫶🌈✨