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---
:name: dtrtrs
:md5sum: 2755db9e25d81bba84931df1c7581f32
:category: :subroutine
:arguments:
- uplo:
:type: char
:intent: input
- trans:
:type: char
:intent: input
- diag:
:type: char
:intent: input
- n:
:type: integer
:intent: input
- nrhs:
:type: integer
:intent: input
- a:
:type: doublereal
:intent: input
:dims:
- lda
- n
- lda:
:type: integer
:intent: input
- b:
:type: doublereal
:intent: input/output
:dims:
- ldb
- nrhs
- ldb:
:type: integer
:intent: input
- info:
:type: integer
:intent: output
:substitutions: {}
:fortran_help: " SUBROUTINE DTRTRS( UPLO, TRANS, DIAG, N, NRHS, A, LDA, B, LDB, INFO )\n\n\
* Purpose\n\
* =======\n\
*\n\
* DTRTRS solves a triangular system of the form\n\
*\n\
* A * X = B or A**T * X = B,\n\
*\n\
* where A is a triangular matrix of order N, and B is an N-by-NRHS\n\
* matrix. A check is made to verify that A is nonsingular.\n\
*\n\n\
* Arguments\n\
* =========\n\
*\n\
* UPLO (input) CHARACTER*1\n\
* = 'U': A is upper triangular;\n\
* = 'L': A is lower triangular.\n\
*\n\
* TRANS (input) CHARACTER*1\n\
* Specifies the form of the system of equations:\n\
* = 'N': A * X = B (No transpose)\n\
* = 'T': A**T * X = B (Transpose)\n\
* = 'C': A**H * X = B (Conjugate transpose = Transpose)\n\
*\n\
* DIAG (input) CHARACTER*1\n\
* = 'N': A is non-unit triangular;\n\
* = 'U': A is unit triangular.\n\
*\n\
* N (input) INTEGER\n\
* The order of the matrix A. N >= 0.\n\
*\n\
* NRHS (input) INTEGER\n\
* The number of right hand sides, i.e., the number of columns\n\
* of the matrix B. NRHS >= 0.\n\
*\n\
* A (input) DOUBLE PRECISION array, dimension (LDA,N)\n\
* The triangular matrix A. If UPLO = 'U', the leading N-by-N\n\
* upper triangular part of the array A contains the upper\n\
* triangular matrix, and the strictly lower triangular part of\n\
* A is not referenced. If UPLO = 'L', the leading N-by-N lower\n\
* triangular part of the array A contains the lower triangular\n\
* matrix, and the strictly upper triangular part of A is not\n\
* referenced. If DIAG = 'U', the diagonal elements of A are\n\
* also not referenced and are assumed to be 1.\n\
*\n\
* LDA (input) INTEGER\n\
* The leading dimension of the array A. LDA >= max(1,N).\n\
*\n\
* B (input/output) DOUBLE PRECISION array, dimension (LDB,NRHS)\n\
* On entry, the right hand side matrix B.\n\
* On exit, if INFO = 0, the solution matrix X.\n\
*\n\
* LDB (input) INTEGER\n\
* The leading dimension of the array B. LDB >= max(1,N).\n\
*\n\
* INFO (output) INTEGER\n\
* = 0: successful exit\n\
* < 0: if INFO = -i, the i-th argument had an illegal value\n\
* > 0: if INFO = i, the i-th diagonal element of A is zero,\n\
* indicating that the matrix is singular and the solutions\n\
* X have not been computed.\n\
*\n\n\
* =====================================================================\n\
*\n"
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