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# RedHat 9 (Linux i386) - man page for dtrtrs (redhat section l)

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 DTRTRS(l) ) DTRTRS(l) NAME DTRTRS - solve a triangular system of the form A * X = B or A**T * X = B, SYNOPSIS SUBROUTINE DTRTRS( UPLO, TRANS, DIAG, N, NRHS, A, LDA, B, LDB, INFO ) CHARACTER DIAG, TRANS, UPLO INTEGER INFO, LDA, LDB, N, NRHS DOUBLE PRECISION A( LDA, * ), B( LDB, * ) PURPOSE DTRTRS solves a triangular system of the form A * X = B or A**T * X = B, where A is a tri- angular matrix of order N, and B is an N-by-NRHS matrix. A check is made to verify that A is nonsingular. ARGUMENTS UPLO (input) CHARACTER*1 = 'U': A is upper triangular; = 'L': A is lower triangular. TRANS (input) CHARACTER*1 Specifies the form of the system of equations: = 'N': A * X = B (No transpose) = 'T': A**T * X = B (Transpose) = 'C': A**H * X = B (Conjugate transpose = Transpose) DIAG (input) CHARACTER*1 = 'N': A is non-unit triangular; = 'U': A is unit triangular. N (input) INTEGER The order of the matrix A. N >= 0. NRHS (input) INTEGER The number of right hand sides, i.e., the number of columns of the matrix B. NRHS >= 0. A (input) DOUBLE PRECISION array, dimension (LDA,N) The triangular matrix A. If UPLO = 'U', the leading N-by-N upper triangular part of the array A contains the upper triangular matrix, and the strictly lower trian- gular part of A is not referenced. If UPLO = 'L', the leading N-by-N lower trian- gular part of the array A contains the lower triangular matrix, and the strictly upper triangular part of A is not referenced. If DIAG = 'U', the diagonal ele- ments of A are also not referenced and are assumed to be 1. LDA (input) INTEGER The leading dimension of the array A. LDA >= max(1,N). B (input/output) DOUBLE PRECISION array, dimension (LDB,NRHS) On entry, the right hand side matrix B. On exit, if INFO = 0, the solution matrix X. LDB (input) INTEGER The leading dimension of the array B. LDB >= max(1,N). INFO (output) INTEGER = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value > 0: if INFO = i, the i-th diagonal element of A is zero, indicating that the matrix is singular and the solutions X have not been computed. LAPACK version 3.0 15 June 2000 DTRTRS(l)
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