ZHEMM(3)

💖 ZHEMM(3) — from the Library Functions Manual 💖

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🧾 NAME 🧾

The source file for this whole moment is:

/home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/BLAS/SRC/zhemm.f

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🌸 SYNOPSIS 🌸

🧚 Functions/Subroutines 🧚

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

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🦋 Function/Subroutine Documentation 🦋

Here’s the full signature, character-for-character, because we respect the code 🫶

   subroutine ZHEMM (character side, character uplo, integer m, integer n,
       complex*16 alpha, complex*16, dimension(lda,*) a, integer lda,
       complex*16, dimension(ldb,*) b, integer ldb, complex*16 beta,
       complex*16, dimension(ldc,*) c, integer ldc)

ZHEMM — it’s giving main character subroutine energy 💅

💖 Purpose: 💖

ZHEMM 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 an hermitian matrix, and B and C are m by n matrices ✨

🌸 Parameters 🌸

• SIDE — SIDE is CHARACTER*1. On entry, SIDE specifies whether the hermitian 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 hermitian matrix A is to be referenced as follows:
  • UPLO = 'U' or 'u' Only the upper triangular part of the hermitian matrix is to be referenced.
  • UPLO = 'L' or 'l' Only the lower triangular part of the hermitian 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*16. On entry, ALPHA specifies the scalar alpha.
• A — A is COMPLEX*16 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 hermitian 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 hermitian 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 hermitian 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 hermitian 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 hermitian 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 hermitian matrix and the strictly upper triangular part of A is not referenced. Note that the imaginary parts of the diagonal elements need not be set, they are assumed to be zero.
• 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*16 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*16. 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*16 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 190 of file zhemm.f.

🤖 Author 🤖

Generated automatically by Doxygen for LAPACK from the source code.

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