LAPACK  3.6.1 LAPACK: Linear Algebra PACKage
spttrs.f
Go to the documentation of this file.
1 *> \brief \b SPTTRS
2 *
3 * =========== DOCUMENTATION ===========
4 *
5 * Online html documentation available at
6 * http://www.netlib.org/lapack/explore-html/
7 *
8 *> \htmlonly
10 *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/spttrs.f">
11 *> [TGZ]</a>
12 *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/spttrs.f">
13 *> [ZIP]</a>
14 *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/spttrs.f">
15 *> [TXT]</a>
16 *> \endhtmlonly
17 *
18 * Definition:
19 * ===========
20 *
21 * SUBROUTINE SPTTRS( N, NRHS, D, E, B, LDB, INFO )
22 *
23 * .. Scalar Arguments ..
24 * INTEGER INFO, LDB, N, NRHS
25 * ..
26 * .. Array Arguments ..
27 * REAL B( LDB, * ), D( * ), E( * )
28 * ..
29 *
30 *
31 *> \par Purpose:
32 * =============
33 *>
34 *> \verbatim
35 *>
36 *> SPTTRS solves a tridiagonal system of the form
37 *> A * X = B
38 *> using the L*D*L**T factorization of A computed by SPTTRF. D is a
39 *> diagonal matrix specified in the vector D, L is a unit bidiagonal
40 *> matrix whose subdiagonal is specified in the vector E, and X and B
41 *> are N by NRHS matrices.
42 *> \endverbatim
43 *
44 * Arguments:
45 * ==========
46 *
47 *> \param[in] N
48 *> \verbatim
49 *> N is INTEGER
50 *> The order of the tridiagonal matrix A. N >= 0.
51 *> \endverbatim
52 *>
53 *> \param[in] NRHS
54 *> \verbatim
55 *> NRHS is INTEGER
56 *> The number of right hand sides, i.e., the number of columns
57 *> of the matrix B. NRHS >= 0.
58 *> \endverbatim
59 *>
60 *> \param[in] D
61 *> \verbatim
62 *> D is REAL array, dimension (N)
63 *> The n diagonal elements of the diagonal matrix D from the
64 *> L*D*L**T factorization of A.
65 *> \endverbatim
66 *>
67 *> \param[in] E
68 *> \verbatim
69 *> E is REAL array, dimension (N-1)
70 *> The (n-1) subdiagonal elements of the unit bidiagonal factor
71 *> L from the L*D*L**T factorization of A. E can also be regarded
72 *> as the superdiagonal of the unit bidiagonal factor U from the
73 *> factorization A = U**T*D*U.
74 *> \endverbatim
75 *>
76 *> \param[in,out] B
77 *> \verbatim
78 *> B is REAL array, dimension (LDB,NRHS)
79 *> On entry, the right hand side vectors B for the system of
80 *> linear equations.
81 *> On exit, the solution vectors, X.
82 *> \endverbatim
83 *>
84 *> \param[in] LDB
85 *> \verbatim
86 *> LDB is INTEGER
87 *> The leading dimension of the array B. LDB >= max(1,N).
88 *> \endverbatim
89 *>
90 *> \param[out] INFO
91 *> \verbatim
92 *> INFO is INTEGER
93 *> = 0: successful exit
94 *> < 0: if INFO = -k, the k-th argument had an illegal value
95 *> \endverbatim
96 *
97 * Authors:
98 * ========
99 *
100 *> \author Univ. of Tennessee
101 *> \author Univ. of California Berkeley
102 *> \author Univ. of Colorado Denver
103 *> \author NAG Ltd.
104 *
105 *> \date September 2012
106 *
107 *> \ingroup realPTcomputational
108 *
109 * =====================================================================
110  SUBROUTINE spttrs( N, NRHS, D, E, B, LDB, INFO )
111 *
112 * -- LAPACK computational routine (version 3.4.2) --
113 * -- LAPACK is a software package provided by Univ. of Tennessee, --
114 * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
115 * September 2012
116 *
117 * .. Scalar Arguments ..
118  INTEGER INFO, LDB, N, NRHS
119 * ..
120 * .. Array Arguments ..
121  REAL B( ldb, * ), D( * ), E( * )
122 * ..
123 *
124 * =====================================================================
125 *
126 * .. Local Scalars ..
127  INTEGER J, JB, NB
128 * ..
129 * .. External Functions ..
130  INTEGER ILAENV
131  EXTERNAL ilaenv
132 * ..
133 * .. External Subroutines ..
134  EXTERNAL sptts2, xerbla
135 * ..
136 * .. Intrinsic Functions ..
137  INTRINSIC max, min
138 * ..
139 * .. Executable Statements ..
140 *
141 * Test the input arguments.
142 *
143  info = 0
144  IF( n.LT.0 ) THEN
145  info = -1
146  ELSE IF( nrhs.LT.0 ) THEN
147  info = -2
148  ELSE IF( ldb.LT.max( 1, n ) ) THEN
149  info = -6
150  END IF
151  IF( info.NE.0 ) THEN
152  CALL xerbla( 'SPTTRS', -info )
153  RETURN
154  END IF
155 *
156 * Quick return if possible
157 *
158  IF( n.EQ.0 .OR. nrhs.EQ.0 )
159  \$ RETURN
160 *
161 * Determine the number of right-hand sides to solve at a time.
162 *
163  IF( nrhs.EQ.1 ) THEN
164  nb = 1
165  ELSE
166  nb = max( 1, ilaenv( 1, 'SPTTRS', ' ', n, nrhs, -1, -1 ) )
167  END IF
168 *
169  IF( nb.GE.nrhs ) THEN
170  CALL sptts2( n, nrhs, d, e, b, ldb )
171  ELSE
172  DO 10 j = 1, nrhs, nb
173  jb = min( nrhs-j+1, nb )
174  CALL sptts2( n, jb, d, e, b( 1, j ), ldb )
175  10 CONTINUE
176  END IF
177 *
178  RETURN
179 *
180 * End of SPTTRS
181 *
182  END
subroutine xerbla(SRNAME, INFO)
XERBLA
Definition: xerbla.f:62
subroutine spttrs(N, NRHS, D, E, B, LDB, INFO)
SPTTRS
Definition: spttrs.f:111
subroutine sptts2(N, NRHS, D, E, B, LDB)
SPTTS2 solves a tridiagonal system of the form AX=B using the L D LH factorization computed by spttrf...
Definition: sptts2.f:104