Annotation of rpl/lapack/lapack/ztrtrs.f, revision 1.15
1.8 bertrand 1: *> \brief \b ZTRTRS
2: *
3: * =========== DOCUMENTATION ===========
4: *
1.14 bertrand 5: * Online html documentation available at
6: * http://www.netlib.org/lapack/explore-html/
1.8 bertrand 7: *
8: *> \htmlonly
1.14 bertrand 9: *> Download ZTRTRS + dependencies
10: *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/ztrtrs.f">
11: *> [TGZ]</a>
12: *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/ztrtrs.f">
13: *> [ZIP]</a>
14: *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/ztrtrs.f">
1.8 bertrand 15: *> [TXT]</a>
1.14 bertrand 16: *> \endhtmlonly
1.8 bertrand 17: *
18: * Definition:
19: * ===========
20: *
21: * SUBROUTINE ZTRTRS( UPLO, TRANS, DIAG, N, NRHS, A, LDA, B, LDB,
22: * INFO )
1.14 bertrand 23: *
1.8 bertrand 24: * .. Scalar Arguments ..
25: * CHARACTER DIAG, TRANS, UPLO
26: * INTEGER INFO, LDA, LDB, N, NRHS
27: * ..
28: * .. Array Arguments ..
29: * COMPLEX*16 A( LDA, * ), B( LDB, * )
30: * ..
1.14 bertrand 31: *
1.8 bertrand 32: *
33: *> \par Purpose:
34: * =============
35: *>
36: *> \verbatim
37: *>
38: *> ZTRTRS solves a triangular system of the form
39: *>
40: *> A * X = B, A**T * X = B, or A**H * X = B,
41: *>
42: *> where A is a triangular matrix of order N, and B is an N-by-NRHS
43: *> matrix. A check is made to verify that A is nonsingular.
44: *> \endverbatim
45: *
46: * Arguments:
47: * ==========
48: *
49: *> \param[in] UPLO
50: *> \verbatim
51: *> UPLO is CHARACTER*1
52: *> = 'U': A is upper triangular;
53: *> = 'L': A is lower triangular.
54: *> \endverbatim
55: *>
56: *> \param[in] TRANS
57: *> \verbatim
58: *> TRANS is CHARACTER*1
59: *> Specifies the form of the system of equations:
60: *> = 'N': A * X = B (No transpose)
61: *> = 'T': A**T * X = B (Transpose)
62: *> = 'C': A**H * X = B (Conjugate transpose)
63: *> \endverbatim
64: *>
65: *> \param[in] DIAG
66: *> \verbatim
67: *> DIAG is CHARACTER*1
68: *> = 'N': A is non-unit triangular;
69: *> = 'U': A is unit triangular.
70: *> \endverbatim
71: *>
72: *> \param[in] N
73: *> \verbatim
74: *> N is INTEGER
75: *> The order of the matrix A. N >= 0.
76: *> \endverbatim
77: *>
78: *> \param[in] NRHS
79: *> \verbatim
80: *> NRHS is INTEGER
81: *> The number of right hand sides, i.e., the number of columns
82: *> of the matrix B. NRHS >= 0.
83: *> \endverbatim
84: *>
85: *> \param[in] A
86: *> \verbatim
87: *> A is COMPLEX*16 array, dimension (LDA,N)
88: *> The triangular matrix A. If UPLO = 'U', the leading N-by-N
89: *> upper triangular part of the array A contains the upper
90: *> triangular matrix, and the strictly lower triangular part of
91: *> A is not referenced. If UPLO = 'L', the leading N-by-N lower
92: *> triangular part of the array A contains the lower triangular
93: *> matrix, and the strictly upper triangular part of A is not
94: *> referenced. If DIAG = 'U', the diagonal elements of A are
95: *> also not referenced and are assumed to be 1.
96: *> \endverbatim
97: *>
98: *> \param[in] LDA
99: *> \verbatim
100: *> LDA is INTEGER
101: *> The leading dimension of the array A. LDA >= max(1,N).
102: *> \endverbatim
103: *>
104: *> \param[in,out] B
105: *> \verbatim
106: *> B is COMPLEX*16 array, dimension (LDB,NRHS)
107: *> On entry, the right hand side matrix B.
108: *> On exit, if INFO = 0, the solution matrix X.
109: *> \endverbatim
110: *>
111: *> \param[in] LDB
112: *> \verbatim
113: *> LDB is INTEGER
114: *> The leading dimension of the array B. LDB >= max(1,N).
115: *> \endverbatim
116: *>
117: *> \param[out] INFO
118: *> \verbatim
119: *> INFO is INTEGER
120: *> = 0: successful exit
121: *> < 0: if INFO = -i, the i-th argument had an illegal value
122: *> > 0: if INFO = i, the i-th diagonal element of A is zero,
123: *> indicating that the matrix is singular and the solutions
124: *> X have not been computed.
125: *> \endverbatim
126: *
127: * Authors:
128: * ========
129: *
1.14 bertrand 130: *> \author Univ. of Tennessee
131: *> \author Univ. of California Berkeley
132: *> \author Univ. of Colorado Denver
133: *> \author NAG Ltd.
1.8 bertrand 134: *
1.14 bertrand 135: *> \date December 2016
1.8 bertrand 136: *
137: *> \ingroup complex16OTHERcomputational
138: *
139: * =====================================================================
1.1 bertrand 140: SUBROUTINE ZTRTRS( UPLO, TRANS, DIAG, N, NRHS, A, LDA, B, LDB,
141: $ INFO )
142: *
1.14 bertrand 143: * -- LAPACK computational routine (version 3.7.0) --
1.1 bertrand 144: * -- LAPACK is a software package provided by Univ. of Tennessee, --
145: * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
1.14 bertrand 146: * December 2016
1.1 bertrand 147: *
148: * .. Scalar Arguments ..
149: CHARACTER DIAG, TRANS, UPLO
150: INTEGER INFO, LDA, LDB, N, NRHS
151: * ..
152: * .. Array Arguments ..
153: COMPLEX*16 A( LDA, * ), B( LDB, * )
154: * ..
155: *
156: * =====================================================================
157: *
158: * .. Parameters ..
159: COMPLEX*16 ZERO, ONE
160: PARAMETER ( ZERO = ( 0.0D+0, 0.0D+0 ),
161: $ ONE = ( 1.0D+0, 0.0D+0 ) )
162: * ..
163: * .. Local Scalars ..
164: LOGICAL NOUNIT
165: * ..
166: * .. External Functions ..
167: LOGICAL LSAME
168: EXTERNAL LSAME
169: * ..
170: * .. External Subroutines ..
171: EXTERNAL XERBLA, ZTRSM
172: * ..
173: * .. Intrinsic Functions ..
174: INTRINSIC MAX
175: * ..
176: * .. Executable Statements ..
177: *
178: * Test the input parameters.
179: *
180: INFO = 0
181: NOUNIT = LSAME( DIAG, 'N' )
182: IF( .NOT.LSAME( UPLO, 'U' ) .AND. .NOT.LSAME( UPLO, 'L' ) ) THEN
183: INFO = -1
184: ELSE IF( .NOT.LSAME( TRANS, 'N' ) .AND. .NOT.
185: $ LSAME( TRANS, 'T' ) .AND. .NOT.LSAME( TRANS, 'C' ) ) THEN
186: INFO = -2
187: ELSE IF( .NOT.NOUNIT .AND. .NOT.LSAME( DIAG, 'U' ) ) THEN
188: INFO = -3
189: ELSE IF( N.LT.0 ) THEN
190: INFO = -4
191: ELSE IF( NRHS.LT.0 ) THEN
192: INFO = -5
193: ELSE IF( LDA.LT.MAX( 1, N ) ) THEN
194: INFO = -7
195: ELSE IF( LDB.LT.MAX( 1, N ) ) THEN
196: INFO = -9
197: END IF
198: IF( INFO.NE.0 ) THEN
199: CALL XERBLA( 'ZTRTRS', -INFO )
200: RETURN
201: END IF
202: *
203: * Quick return if possible
204: *
205: IF( N.EQ.0 )
206: $ RETURN
207: *
208: * Check for singularity.
209: *
210: IF( NOUNIT ) THEN
211: DO 10 INFO = 1, N
212: IF( A( INFO, INFO ).EQ.ZERO )
213: $ RETURN
214: 10 CONTINUE
215: END IF
216: INFO = 0
217: *
218: * Solve A * x = b, A**T * x = b, or A**H * x = b.
219: *
220: CALL ZTRSM( 'Left', UPLO, TRANS, DIAG, N, NRHS, ONE, A, LDA, B,
221: $ LDB )
222: *
223: RETURN
224: *
225: * End of ZTRTRS
226: *
227: END
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