BLAS/SRC/sgemm.f(3)

💖 BLAS/SRC/sgemm.f 💖

okay bestie, gather round, because we're about to talk about the LAPACK page for BLAS/SRC/sgemm.f, and honestly? she's iconic. she's the matrix-matrix multiply girlie. let's get into it 💅

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✨ NAME ✨

BLAS/SRC/sgemm.f — no cap, that's the whole name, that's the file, that's the moment 🌸

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🦋 SYNOPSIS 🦋

Functions/Subroutines

• subroutine sgemm (transa, transb, m, n, k, alpha, a, lda, b, ldb, beta, c, ldc)
  • SGEMM

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🎀 Function/Subroutine Documentation 🎀

subroutine sgemm (character transa, character transb, integer m, integer n, integer k, real alpha, real, dimension(lda,*) a, integer lda, real, dimension(ldb,*) b, integer ldb, real beta, real, dimension(ldc,*) c, integer ldc)

SGEMM ✨

🌈 Purpose:

SGEMM performs one of the matrix-matrix operations

C := alpha*op( A )*op( B ) + beta*C,

where op( X ) is one of

op( X ) = X   or   op( X ) = X**T,

alpha and beta are scalars, and A, B and C are matrices, with op( A ) an m by k matrix, op( B ) a k by n matrix and C an m by n matrix. like literally the glow-up formula, the main character energy of linear algebra, periodt 👑

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💜 Parameters

• 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.

• TRANSB

TRANSB is CHARACTER*1 On entry, TRANSB specifies the form of op( B ) to be used in the matrix multiplication as follows:

• TRANSB = 'N' or 'n', op( B ) = B.
• TRANSB = 'T' or 't', op( B ) = B**T.
• TRANSB = 'C' or 'c', op( B ) = B**T.

• M

M is INTEGER On entry, M specifies the number of rows of the matrix op( A ) and of the matrix C. M must be at least zero.

• N

N is INTEGER On entry, N specifies the number of columns of the matrix op( B ) and the number of columns of the matrix C. N must be at least zero.

• K

K is INTEGER On entry, K specifies the number of columns of the matrix op( A ) and the number of rows of the matrix op( B ). K must be at least zero.

• ALPHA

ALPHA is REAL On entry, ALPHA specifies the scalar alpha. the lil multiplier bestie 🫶

• A

A is REAL array, dimension ( LDA, ka ), where ka is k when TRANSA = 'N' or 'n', and is m otherwise. Before entry with TRANSA = 'N' or 'n', the leading m by k part of the array A must contain the matrix A, otherwise the leading k by m part of the array A must contain the matrix A.

• LDA

LDA is INTEGER On entry, LDA specifies the first dimension of A as declared in the calling (sub) program. When TRANSA = 'N' or 'n' then LDA must be at least max( 1, m ), otherwise LDA must be at least max( 1, k ).

• B

B is REAL array, dimension ( LDB, kb ), where kb is n when TRANSB = 'N' or 'n', and is k otherwise. Before entry with TRANSB = 'N' or 'n', the leading k by n part of the array B must contain the matrix B, otherwise the leading n by k part of the array B must contain the matrix B.

• LDB

LDB is INTEGER On entry, LDB specifies the first dimension of B as declared in the calling (sub) program. When TRANSB = 'N' or 'n' then LDB must be at least max( 1, k ), otherwise LDB must be at least max( 1, n ).

• BETA

BETA is REAL On entry, BETA specifies the scalar beta. When BETA is supplied as zero then C need not be set on input. (yes queen, zero beta means you can skip the setup, we love a shortcut 💀)

• C

C is REAL array, dimension ( LDC, N ) Before entry, the leading m by n part of the array C must contain the matrix C, except when beta is zero, in which case C need not be set on entry. On exit, the array C is overwritten by the m by n matrix

( alpha*op( A )*op( B ) + beta*C ).

heads up bestie: C gets overwritten. she does not survive the function. that's just the vibe. 💅

• LDC

LDC is INTEGER On entry, LDC specifies the first dimension of C as declared in the calling (sub) program. LDC must be at least max( 1, m ).

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👑 Author 👑

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

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🔥 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 186 of file sgemm.f.

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🌸 Author 🌸

Generated automatically by Doxygen for LAPACK from the source code.

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and that's the whole page, bestie 🧚 no notes, she ate, she left no crumbs. this was Version 3.12.0, dated Tue Nov 28 2023 12:08:41, and it lives at BLAS/SRC/sgemm.f(3) — go forth and multiply those matrices, iykyk 💖✨🎀