BLAS/SRC/strmm.f(3)

✨ NAME ✨

okay so this page is BLAS/SRC/strmm.f, and we're reading it in the Library Functions Manual, bestie. It's the STRMM routine, and it's giving Level 3 BLAS energy. πŸ’…


🌸 SYNOPSIS 🌸

🧚 Functions/Subroutines 🧚

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

πŸ¦‹ Function/Subroutine Documentation πŸ¦‹

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

STRMM

✨ Purpose: ✨

okay bestie, here's the whole vibe: STRMM 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.

πŸŽ€ Parameters πŸŽ€

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' β€” B := alpha*op( A )*B.
  • SIDE = 'R' or 'r' β€” 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' β€” A is an upper triangular matrix.
  • UPLO = 'L' or 'l' β€” 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' β€” op( A ) = A.
  • TRANSA = 'T' or 't' β€” op( A ) = A**T.
  • TRANSA = 'C' or 'c' β€” 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' β€” A is assumed to be unit triangular.
  • DIAG = 'N' or 'n' β€” 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 REAL. 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 REAL 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 REAL 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 ).

πŸ‘‘ Author πŸ‘‘

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

πŸ’œ Further Details: πŸ’œ

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 strmm.f.

πŸ’Œ Author πŸ’Œ

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that's the page, bestie β€” LAPACK Version 3.12.0, BLAS/SRC/strmm.f(3), generated automatically by Doxygen for LAPACK from the source code, with the 8-February-1989 origin story included. periodt. πŸ’–

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