DSYMM(3)

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πŸ’– NAME πŸ’–

  • /home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/BLAS/SRC/dsymm.f β€” that's the name, periodt πŸŽ€

✨ SYNOPSIS ✨

Functions/Subroutines

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

🫢 Function/Subroutine Documentation 🫢

Okay so here's the full signature, no cap:

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

DSYMM is literally the icon of this page, fr fr.

🌸 Purpose 🌸

DSYMM 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. Obsessed with the clarity πŸ’–

πŸ“ Parameters πŸ“

Every parameter, every condition β€” we're not skipping a single crumb πŸ“

  • SIDE β€” SIDE is CHARACTER*1. On entry, SIDE specifies whether the symmetric matrix A appears on the left or right in the operation, like this:
    • SIDE = 'L' or 'l' β†’ C := alpha*A*B + beta*C,
    • SIDE = 'R' or 'r' β†’ C := alpha*B*A + beta*C,
  • UPLO β€” UPLO is CHARACTER*1. On entry, UPLO specifies whether the upper or lower triangular part of the symmetric matrix A is to be referenced, like:
    • UPLO = 'U' or 'u' β†’ only the upper triangular part of the symmetric matrix is to be referenced.
    • UPLO = 'L' or 'l' β†’ only the lower triangular part of the symmetric matrix is to be referenced.
  • M β€” M is INTEGER. On entry, M specifies the number of rows of the matrix C. M must be at least zero.
  • N β€” N is INTEGER. On entry, N specifies the number of columns of the matrix C. N must be at least zero.
  • ALPHA β€” ALPHA is DOUBLE PRECISION. On entry, ALPHA specifies the scalar alpha.
  • A β€” A is DOUBLE PRECISION 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 β€” 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 β€” 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.
  • LDB β€” 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 β€” BETA is DOUBLE PRECISION. On entry, BETA specifies the scalar beta. When BETA is supplied as zero then C need not be set on input.
  • C β€” C is DOUBLE PRECISION 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 β€” 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 ).

πŸ‘‘ Author πŸ‘‘

These legends are credited:

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

πŸ”₯ Further Details πŸ”₯

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 dsymm.f.

πŸ™ˆ Author πŸ™ˆ

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