trsm Interface
public interface trsm
TRSM solves one of the matrix equations op( A )X = alphaB, or Xop( A ) = alphaB, where alpha is a scalar, X and B are m by n matrices, A is a unit, or non-unit, upper or lower triangular matrix and op( A ) is one of op( A ) = A or op( A ) = AT or op( A ) = AH. The matrix X is overwritten on B.
Subroutines
public pure subroutine ctrsm(side, uplo, transa, diag, m, n, alpha, a, lda, b, ldb)
Arguments
| Type | Intent | Optional | Attributes | Name | ||
|---|---|---|---|---|---|---|
| character(len=1), | intent(in) | :: | side | |||
| character(len=1), | intent(in) | :: | uplo | |||
| character(len=1), | intent(in) | :: | transa | |||
| character(len=1), | intent(in) | :: | diag | |||
| integer(kind=ilp), | intent(in) | :: | m | |||
| integer(kind=ilp), | intent(in) | :: | n | |||
| complex(kind=sp), | intent(in) | :: | alpha | |||
| complex(kind=sp), | intent(in) | :: | a(lda,*) | |||
| integer(kind=ilp), | intent(in) | :: | lda | |||
| complex(kind=sp), | intent(inout) | :: | b(ldb,*) | |||
| integer(kind=ilp), | intent(in) | :: | ldb |
public pure subroutine dtrsm(side, uplo, transa, diag, m, n, alpha, a, lda, b, ldb)
Arguments
| Type | Intent | Optional | Attributes | Name | ||
|---|---|---|---|---|---|---|
| character(len=1), | intent(in) | :: | side | |||
| character(len=1), | intent(in) | :: | uplo | |||
| character(len=1), | intent(in) | :: | transa | |||
| character(len=1), | intent(in) | :: | diag | |||
| integer(kind=ilp), | intent(in) | :: | m | |||
| integer(kind=ilp), | intent(in) | :: | n | |||
| real(kind=dp), | intent(in) | :: | alpha | |||
| real(kind=dp), | intent(in) | :: | a(lda,*) | |||
| integer(kind=ilp), | intent(in) | :: | lda | |||
| real(kind=dp), | intent(inout) | :: | b(ldb,*) | |||
| integer(kind=ilp), | intent(in) | :: | ldb |
public pure subroutine strsm(side, uplo, transa, diag, m, n, alpha, a, lda, b, ldb)
Arguments
| Type | Intent | Optional | Attributes | Name | ||
|---|---|---|---|---|---|---|
| character(len=1), | intent(in) | :: | side | |||
| character(len=1), | intent(in) | :: | uplo | |||
| character(len=1), | intent(in) | :: | transa | |||
| character(len=1), | intent(in) | :: | diag | |||
| integer(kind=ilp), | intent(in) | :: | m | |||
| integer(kind=ilp), | intent(in) | :: | n | |||
| real(kind=sp), | intent(in) | :: | alpha | |||
| real(kind=sp), | intent(in) | :: | a(lda,*) | |||
| integer(kind=ilp), | intent(in) | :: | lda | |||
| real(kind=sp), | intent(inout) | :: | b(ldb,*) | |||
| integer(kind=ilp), | intent(in) | :: | ldb |
public pure subroutine ztrsm(side, uplo, transa, diag, m, n, alpha, a, lda, b, ldb)
Arguments
| Type | Intent | Optional | Attributes | Name | ||
|---|---|---|---|---|---|---|
| character(len=1), | intent(in) | :: | side | |||
| character(len=1), | intent(in) | :: | uplo | |||
| character(len=1), | intent(in) | :: | transa | |||
| character(len=1), | intent(in) | :: | diag | |||
| integer(kind=ilp), | intent(in) | :: | m | |||
| integer(kind=ilp), | intent(in) | :: | n | |||
| complex(kind=dp), | intent(in) | :: | alpha | |||
| complex(kind=dp), | intent(in) | :: | a(lda,*) | |||
| integer(kind=ilp), | intent(in) | :: | lda | |||
| complex(kind=dp), | intent(inout) | :: | b(ldb,*) | |||
| integer(kind=ilp), | intent(in) | :: | ldb |
Module Procedures
public pure subroutine stdlib_ctrsm(side, uplo, transa, diag, m, n, alpha, a, lda, b, ldb)
CTRSM solves one of the matrix equations op( A )X = alphaB, or Xop( A ) = alphaB, where alpha is a scalar, X and B are m by n matrices, A is a unit, or non-unit, upper or lower triangular matrix and op( A ) is one of op( A ) = A or op( A ) = AT or op( A ) = AH. The matrix X is overwritten on B.
Arguments
| Type | Intent | Optional | Attributes | Name | ||
|---|---|---|---|---|---|---|
| character(len=1), | intent(in) | :: | side | |||
| character(len=1), | intent(in) | :: | uplo | |||
| character(len=1), | intent(in) | :: | transa | |||
| character(len=1), | intent(in) | :: | diag | |||
| integer(kind=ilp), | intent(in) | :: | m | |||
| integer(kind=ilp), | intent(in) | :: | n | |||
| complex(kind=sp), | intent(in) | :: | alpha | |||
| complex(kind=sp), | intent(in) | :: | a(lda,*) | |||
| integer(kind=ilp), | intent(in) | :: | lda | |||
| complex(kind=sp), | intent(inout) | :: | b(ldb,*) | |||
| integer(kind=ilp), | intent(in) | :: | ldb |
public pure subroutine stdlib_dtrsm(side, uplo, transa, diag, m, n, alpha, a, lda, b, ldb)
DTRSM solves one of the matrix equations op( A )X = alphaB, or Xop( A ) = alphaB, where alpha is a scalar, X and B are m by n matrices, A is a unit, or non-unit, upper or lower triangular matrix and op( A ) is one of op( A ) = A or op( A ) = A**T. The matrix X is overwritten on B.
Arguments
| Type | Intent | Optional | Attributes | Name | ||
|---|---|---|---|---|---|---|
| character(len=1), | intent(in) | :: | side | |||
| character(len=1), | intent(in) | :: | uplo | |||
| character(len=1), | intent(in) | :: | transa | |||
| character(len=1), | intent(in) | :: | diag | |||
| integer(kind=ilp), | intent(in) | :: | m | |||
| integer(kind=ilp), | intent(in) | :: | n | |||
| real(kind=dp), | intent(in) | :: | alpha | |||
| real(kind=dp), | intent(in) | :: | a(lda,*) | |||
| integer(kind=ilp), | intent(in) | :: | lda | |||
| real(kind=dp), | intent(inout) | :: | b(ldb,*) | |||
| integer(kind=ilp), | intent(in) | :: | ldb |
public pure subroutine stdlib_strsm(side, uplo, transa, diag, m, n, alpha, a, lda, b, ldb)
STRSM solves one of the matrix equations op( A )X = alphaB, or Xop( A ) = alphaB, where alpha is a scalar, X and B are m by n matrices, A is a unit, or non-unit, upper or lower triangular matrix and op( A ) is one of op( A ) = A or op( A ) = A**T. The matrix X is overwritten on B.
Arguments
| Type | Intent | Optional | Attributes | Name | ||
|---|---|---|---|---|---|---|
| character(len=1), | intent(in) | :: | side | |||
| character(len=1), | intent(in) | :: | uplo | |||
| character(len=1), | intent(in) | :: | transa | |||
| character(len=1), | intent(in) | :: | diag | |||
| integer(kind=ilp), | intent(in) | :: | m | |||
| integer(kind=ilp), | intent(in) | :: | n | |||
| real(kind=sp), | intent(in) | :: | alpha | |||
| real(kind=sp), | intent(in) | :: | a(lda,*) | |||
| integer(kind=ilp), | intent(in) | :: | lda | |||
| real(kind=sp), | intent(inout) | :: | b(ldb,*) | |||
| integer(kind=ilp), | intent(in) | :: | ldb |
public pure subroutine stdlib_ztrsm(side, uplo, transa, diag, m, n, alpha, a, lda, b, ldb)
ZTRSM solves one of the matrix equations op( A )X = alphaB, or Xop( A ) = alphaB, where alpha is a scalar, X and B are m by n matrices, A is a unit, or non-unit, upper or lower triangular matrix and op( A ) is one of op( A ) = A or op( A ) = AT or op( A ) = AH. The matrix X is overwritten on B.
Arguments
| Type | Intent | Optional | Attributes | Name | ||
|---|---|---|---|---|---|---|
| character(len=1), | intent(in) | :: | side | |||
| character(len=1), | intent(in) | :: | uplo | |||
| character(len=1), | intent(in) | :: | transa | |||
| character(len=1), | intent(in) | :: | diag | |||
| integer(kind=ilp), | intent(in) | :: | m | |||
| integer(kind=ilp), | intent(in) | :: | n | |||
| complex(kind=dp), | intent(in) | :: | alpha | |||
| complex(kind=dp), | intent(in) | :: | a(lda,*) | |||
| integer(kind=ilp), | intent(in) | :: | lda | |||
| complex(kind=dp), | intent(inout) | :: | b(ldb,*) | |||
| integer(kind=ilp), | intent(in) | :: | ldb |