BLAS/SRC/ssymm.f(3)

BLAS/SRC/ssymm.f 💖

okay bestie, welcome to the LAPACK manual page for BLAS/SRC/ssymm.f — yes the filename is literally the NAME section, that's just how these things are, we don't question it 💅

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✨ SYNOPSIS ✨

Functions/Subroutines 🦋

subroutine ssymm (side, uplo, m, n, alpha, a, lda, b, ldb, beta, c, ldc)
    SSYMM

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💜 Function/Subroutine Documentation 💜

subroutine ssymm 🌸

subroutine ssymm (character side, character uplo, integer m, integer n, real
    alpha, real, dimension(lda,*) a, integer lda, real, dimension(ldb,*) b,
    integer ldb, real beta, real, dimension(ldc,*) c, integer ldc)

SSYMM — she's the main character, no cap 👑

🎀 Purpose 🎀

okay so SSYMM performs one of the matrix-matrix operations

C := alpha*A*B + beta*C,

or

C := alpha*B*A + beta*C,

where alpha and beta are scalars, A is a symmetric matrix and B and C are m by n matrices. symmetric queen behavior fr fr ✨

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🫶 Parameters 🫶

• SIDE — SIDE is CHARACTER*1. On entry, SIDE specifies whether the symmetric matrix A appears on the left or right in the operation as follows:
  • SIDE = 'L' or 'l' → C := alpha*A*B + beta*C,
  • SIDE = 'R' or 'r' → C := alpha*B*A + beta*C,
• UPLO — UPLO is CHARACTER*1. On entry, UPLO specifies whether the upper or lower triangular part of the symmetric matrix A is to be referenced as follows:
  • UPLO = 'U' or 'u' → Only the upper triangular part of the symmetric matrix is to be referenced.
  • UPLO = 'L' or 'l' → Only the lower triangular part of the symmetric matrix is to be referenced.
• M — M is INTEGER. On entry, M specifies the number of rows 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 C. N must be at least zero.
• ALPHA — ALPHA is REAL. On entry, ALPHA specifies the scalar alpha.
• A — A is REAL array, dimension ( LDA, ka ), where ka is m when SIDE = 'L' or 'l' and is n otherwise. Before entry with SIDE = 'L' or 'l', the m by m part of the array A must contain the symmetric matrix, such that when UPLO = 'U' or 'u', the leading m by m upper triangular part of the array A must contain the upper triangular part of the symmetric matrix and the strictly lower triangular part of A is not referenced, and when UPLO = 'L' or 'l', the leading m by m lower triangular part of the array A must contain the lower triangular part of the symmetric matrix and the strictly upper triangular part of A is not referenced. Before entry with SIDE = 'R' or 'r', the n by n part of the array A must contain the symmetric matrix, such that when UPLO = 'U' or 'u', the leading n by n upper triangular part of the array A must contain the upper triangular part of the symmetric matrix and the strictly lower triangular part of A is not referenced, and when UPLO = 'L' or 'l', the leading n by n lower triangular part of the array A must contain the lower triangular part of the symmetric matrix and the strictly upper triangular part of A is not referenced.
• 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 ), otherwise 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.
• 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 ).
• 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. (free real estate, we love to see it 🙈)
• 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 updated matrix. bye old C, hello glow-up 💅✨
• 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.

the whole squad, iconic honestly 🫶

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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.

look at the date bestie, these icons were doing linear algebra before it was cool ⭐

Definition at line 188 of file ssymm.f.

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💜 Author 💜

Generated automatically by Doxygen for LAPACK from the source code. (not me, I'm just the messenger 🧚)

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Version 3.12.0 — Tue Nov 28 2023 12:08:41 — BLAS/SRC/ssymm.f(3)

and that's the whole page, bestie! symmetric matrix-matrix multiply, ate and left no crumbs, periodt 💖🌸🦋