strmm(3S)
STRMM, DTRMM, CTRMM, ZTRMM - Multiplies a real or complex general matrix by a real or complex triangular matrix
As shipped in IRIX 6.5.22. Added in IRIX 6.5.15.
NAME STRMM, DTRMM, CTRMM, ZTRMM - Multiplies a real or complex general matrix by a real or complex triangular matrix SYNOPSIS Single precision Fortran: CALL STRMM (side, uplo, transa, diag, m, n, alpha, a, lda, b, ldb) C/C++: #include <scsl_blas.h> void strmm (char *side, char *uplo, char *transA, char *diag, int m, int n, float alpha, float *a, int lda, float *b, int ldb); Double precision Fortran: CALL DTRMM (side, uplo, transa, diag, m, n, alpha, a, lda, b, ldb) C/C++: #include <scsl_blas.h> void dtrmm (char *side, char *uplo, char *transA, char *diag, int m, int n, double alpha, double *a, int lda, double *b, int ldb); Single precision complex Fortran: CALL CTRMM (side, uplo, transa, diag, m, n, alpha, a, lda, b, ldb) C/C++: #include <scsl_blas.h> void ctrmm (char *side, char *uplo, char *transA, char *diag, int m, int n, scsl_complex *alpha, scsl_complex *a, int lda, scsl_complex *b, int ldb); C++ STL: #include <complex.h> #include <scsl_blas.h> void ctrmm (char *side, char *uplo, char *transA, char *diag, int m, int n, complex<float> *alpha, complex<float> *a, int lda, complex<float> *b, int ldb); Double precision complex Fortran: CALL ZTRMM (side, uplo, transa, diag, m, n, alpha, a, lda, b, ldb) C/C++: #include <scsl_blas.h> void ztrmm (char *side, char *uplo, char *transA, char *diag, int m, int n, scsl_zomplex *alpha, scsl_zomplex *a, int lda, scsl_zomplex *b, int ldb); C++ STL: #include <complex.h> #include <scsl_blas.h> void ztrmm (char *side, char *uplo, char *transA, char *diag, int m, int n, complex<double> *alpha, complex<double> *a, int lda, complex<double> *b, int ldb); IMPLEMENTATION These routines are part of the SCSL Scientific Library and can be loaded using either the -lscs or the -lscs_mp option. The -lscs_mp option directs the linker to use the multi-processor version of the library. When linking to SCSL with -lscs or -lscs_mp, the default integer size is 4 bytes (32 bits). Another version of SCSL is available in which integers are 8 bytes (64 bits). This version allows the user access to larger memory sizes and helps when porting legacy Cray codes. It can be loaded by using the -lscs_i8 option or the -lscs_i8_mp option. A program may use only one of the two versions; 4-byte integer and 8-byte integer library calls cannot be mixed. The C and C++ prototypes shown above are appropriate for the 4-byte integer version of SCSL. When using the 8-byte integer version, the variables of type int become long long and the <scsl_blas_i8.h> header file should be included. DESCRIPTION STRMM and DTRMM multiply a real general matrix by a real triangular matrix. CTRMM and ZTRMM multiply a complex general matrix by a complex triangular matrix. These routines perform one of the matrix-matrix operations: B <- alpha op(A)B or B <- alpha B op(A) where alpha is a scalar; B is an m-by-n matrix; A is either a unit or nonunit upper or lower triangular matrix, and op(A) is one of the following: * op(A) = A * op(A) = AT * op(A) = AH (CTRMM and ZTRMM only) where * AT is the transpose of A * AH is the conjugate transpose of A. See the NOTES section of this man page for information about the interpretation of the data types described in the following arguments. These routines have the following arguments: side Character. (input) Specifies whether op(A) multiplies B from the left or right, as follows: side = 'L' or 'l': B <- alpha op(A)B side = 'R' or 'r': B <- alpha B op(A) For C/C++, a pointer to this character is passed. uplo Character. (input) Specifies whether matrix A is an upper or lower triangular matrix, as follows: uplo = 'U' or 'u': A is an upper triangular matrix. uplo = 'L' or 'l': A is a lower triangular matrix. For C/C++, a pointer to this character is passed. transa Character. (input) Specifies the form of op(A) to be used in the matrix multiplication, as follows: transa = 'N' or 'n': op(A) = A transa = 'T' or 't', op(A) = AT transa = 'C' or 'c': op(A) = AT (STRMM, DTRMM), or op(A) = AH (CTRMM, ZTRMM) For C/C++, a pointer to this character is passed. diag Character*1. (input) Specifies whether A is unit triangular, as follows: diag = 'U' or 'u': A is assumed to be unit triangular. diag = 'N' or 'n': A is not assumed to be unit triangular. For C/C++, a pointer to this character is passed. m Integer. (input) Specifies the number of rows in B. m must be >= 0. n Integer. (input) Specifies the number of columns in B. n must be >= 0. alpha Scalar factor. (input) STRMM: Single precision. DTRMM: Double precision. CTRMM: Single precision complex. ZTRMM: Double precision complex. When alpha is 0, a is not referenced and b need not be set before entry. For C/C++, a pointer to this scalar is passed when alpha is complex; otherwise, alpha is passed by value. a Array of dimension (lda,k). (input) STRMM: Single precision array. DTRMM: Double precision array. CTRMM: Single precision complex array. ZTRMM: Double precision complex array. When side = 'L' or 'l', k is m; when side = 'R' or 'r', k is n. Contains the matrix A. Before entry with uplo = 'U' or 'u', the leading k-by-k upper triangular part of array a must contain the upper triangular matrix. The strictly lower triangular part of a is not referenced. Before entry with uplo = 'L' or 'l', the leading k-by-k lower triangular part of array a must contain the lower triangular matrix. The strictly upper triangular part of a is not referenced. When diag = 'U' or 'u', the diagonal elements of a are not referenced, but they are assumed to be unity. lda Integer. (input) Specifies the first dimension of a as declared in the calling program. When side = 'L' or 'l', lda >= MAX(1,m). When side = 'R' or 'r', lda >= MAX(1,n). b Array of dimension (ldb,n). (input and output) STRMM: Single precision array. DTRMM: Double precision array. CTRMM: Single precision complex array. ZTRMM: Double precision complex array. Contains the matrix B. Before entry, the leading m-by-n part of array b must contain matrix B. On exit, the transformed matrix overwrites array b. ldb Integer. (input) Specifies the first dimension of b as declared in the calling program. ldb >= MAX(1,m). NOTES These routines are Level 3 Basic Linear Algebra Subprograms (Level 3 BLAS). Data Types The following data types are described in this documentation: Term Used Data type Fortran: Array dimensioned n x(n) Array of dimensions (m,n) x(m,n) Character CHARACTER Integer INTEGER (INTEGER*8 for -lscs_i8[_mp]) Single precision REAL Double precision DOUBLE PRECISION Single precision complex COMPLEX Double precision complex DOUBLE COMPLEX C/C++: Array dimensioned n x[n] Array of dimensions (m,n) x[m*n] Character char Integer int (long long for -lscs_i8[_mp]) Single precision float Double precision double Single precision complex scsl_complex Double precision complex scsl_zomplex C++ STL: Array dimensioned n x[n] Array of dimensions (m,n) x[m*n] Character char Integer int (long long for -lscs_i8[_mp]) Single precision float Double precision double Single precision complex complex<float> Double precision complex complex<double> Note that you can explicitly declare multidimensional C/C++ arrays provided that the array dimensions are swapped with respect to the Fortran declaration (e.g., x[n][m] in C/C++ versus x(m,n) in Fortran). To avoid a compiler type mismatch error in C++ (or a compiler warning message in C), however, the array should be cast to a pointer of the appropriate type when passed as an argument to a SCSL routine. SEE ALSO INTRO_SCSL(3S), INTRO_BLAS3(3S) INTRO_CBLAS(3S) for information about using the C interface to Fortran 77 Basic Linear Algebra Subprograms (legacy BLAS) set forth by the Basic Linear Algebra Subprograms Technical Forum.