Performs matrix-matrix matrix operations on symmetric matrices.
BLAS Library (libblas.a)
SUBROUTINE SSYMM(SIDE, UPLO, M, N, ALPHA,
A, LDA, B, LDB, BETA, C, LDC)
CHARACTER*1 SIDE, UPLO
INTEGER M, N, LDA, LDB, LDC
REAL ALPHA, BETA
REAL A(LDA,*), B(LDB,*), C(LDC,*)
SUBROUTINE DSYMM(SIDE, UPLO, M, N, ALPHA,
A, LDA, B, LDB, BETA, C, LDC)
CHARACTER*1 SIDE,UPLO
INTEGER M,N,LDA,LDB,LDC
DOUBLE PRECISION ALPHA,BETA
DOUBLE PRECISION A(LDA,*), B(LDB,*), C(LDC,*)SUBROUTINE CSYMM(SIDE, UPLO, M, N, ALPHA,
A, LDA, B, LDB, BETA, C, LDC)
CHARACTER*1 SIDE,UPLO
INTEGER M,N,LDA,LDB,LDC
COMPLEX ALPHA,BETA
COMPLEX A(LDA,*), B(LDB,*), C(LDC,*)SUBROUTINE ZSYMM(SIDE, UPLO, M, N, ALPHA,
A, LDA, B, LDB, BETA, C, LDC)
CHARACTER*1 SIDE,UPLO
INTEGER M,N,LDA,LDB,LDC
COMPLEX*16 ALPHA,BETA
COMPLEX*16 A(LDA,*), B(LDB,*), C(LDC,*)The SSYMM, DSYMM, CSYMM, or ZSYMM subroutine 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.
| Item | Description |
|---|---|
| SIDE | On entry, SIDE specifies whether the symmetric matrix A appears
on the left or right in the operation as follows:
Unchanged on exit. |
| UPLO | On entry, UPLO specifies whether the upper or lower
triangular part of the symmetric matrix A is to be referenced
as follows:
Unchanged on exit. |
| M | On entry, M specifies the number of rows of the matrix C; M must be at least 0; unchanged on exit. |
| N | On entry, N specifies the number of columns of the matrix C; N must be at least 0; unchanged on exit. |
| ALPHA | On entry, ALPHA specifies the scalar alpha; unchanged on exit. |
| A | An array of dimension ( LDA, KA ), where KA is M when SIDE = 'L' or 'l' and is N otherwise; on 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. On 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; unchanged on exit. |
| LDA | 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 ); unchanged on exit. |
| B | An array of dimension ( LDB, N ); on entry, the leading M by N part of the array B must contain the matrix B; unchanged on exit. |
| LDB | On entry, LDB specifies the first dimension of B as declared in the calling (sub) program; LDB must be at least max( 1, M ); unchanged on exit. |
| BETA | On entry, BETA specifies the scalar beta; when BETA is supplied as 0 then C need not be set on input; unchanged on exit. |
| C | An array of dimension ( LDC, N ); on entry, the leading M by N part of the array C must contain the matrix C, except when beta is 0, 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 | On entry, LDC specifies the first dimension of C as declared in the calling (sub) program; LDC must be at least max( 1, M ); unchanged on exit. |