BLAS/SRC/csymm.f(3)

🌸 NAME 🌸

BLAS/SRC/csymm.f — okay bestie, this is the manual page from the Library Functions Manual for CSYMM, the Level 3 BLAS routine that does symmetric-matrix matrix-matrix operations. Iconic behavior, honestly. 💅

✨ SYNOPSIS ✨

🦋 Functions/Subroutines 🦋

• subroutine csymm (side, uplo, m, n, alpha, a, lda, b, ldb, beta, c, ldc) — CSYMM

💖 Function/Subroutine Documentation 💖

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

🎀 Purpose 🎀

Okay so CSYMM performs one of these matrix-matrix operations, fr fr:

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. Periodt. ✨

💅 Parameters 💅

SIDE — SIDE is CHARACTER*1. On entry, SIDE specifies whether the symmetric matrix A appears on the left or right in the operation, like:

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 COMPLEX. On entry, ALPHA specifies the scalar alpha.

A — A is COMPLEX 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
• 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
• 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 COMPLEX 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 COMPLEX. On entry, BETA specifies the scalar beta. When BETA is supplied as zero then C need not be set on input.

C — C is COMPLEX 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.

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 ).

👑 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 188 of file csymm.f.

🌈 Author 🌈

Generated automatically by Doxygen for LAPACK from the source code.

---

xoxo, from LAPACK Version 3.12.0 💖 — this was the BLAS/SRC/csymm.f(3) page, slay. ✨