--- rpl/lapack/lapack/dtpqrt2.f 2016/08/27 15:34:41 1.6
+++ rpl/lapack/lapack/dtpqrt2.f 2017/06/17 10:54:06 1.7
@@ -2,31 +2,31 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download DTPQRT2 + dependencies
-*>
-*> [TGZ]
-*>
-*> [ZIP]
-*>
+*> Download DTPQRT2 + dependencies
+*>
+*> [TGZ]
+*>
+*> [ZIP]
+*>
*> [TXT]
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE DTPQRT2( M, N, L, A, LDA, B, LDB, T, LDT, INFO )
-*
+*
* .. Scalar Arguments ..
* INTEGER INFO, LDA, LDB, LDT, N, M, L
* ..
* .. Array Arguments ..
* DOUBLE PRECISION A( LDA, * ), B( LDB, * ), T( LDT, * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -34,7 +34,7 @@
*> \verbatim
*>
*> DTPQRT2 computes a QR factorization of a real "triangular-pentagonal"
-*> matrix C, which is composed of a triangular block A and pentagonal block B,
+*> matrix C, which is composed of a triangular block A and pentagonal block B,
*> using the compact WY representation for Q.
*> \endverbatim
*
@@ -44,7 +44,7 @@
*> \param[in] M
*> \verbatim
*> M is INTEGER
-*> The total number of rows of the matrix B.
+*> The total number of rows of the matrix B.
*> M >= 0.
*> \endverbatim
*>
@@ -59,7 +59,7 @@
*> \param[in] L
*> \verbatim
*> L is INTEGER
-*> The number of rows of the upper trapezoidal part of B.
+*> The number of rows of the upper trapezoidal part of B.
*> MIN(M,N) >= L >= 0. See Further Details.
*> \endverbatim
*>
@@ -80,7 +80,7 @@
*> \param[in,out] B
*> \verbatim
*> B is DOUBLE PRECISION array, dimension (LDB,N)
-*> On entry, the pentagonal M-by-N matrix B. The first M-L rows
+*> On entry, the pentagonal M-by-N matrix B. The first M-L rows
*> are rectangular, and the last L rows are upper trapezoidal.
*> On exit, B contains the pentagonal matrix V. See Further Details.
*> \endverbatim
@@ -114,12 +114,12 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date September 2012
+*> \date December 2016
*
*> \ingroup doubleOTHERcomputational
*
@@ -128,10 +128,10 @@
*>
*> \verbatim
*>
-*> The input matrix C is a (N+M)-by-N matrix
+*> The input matrix C is a (N+M)-by-N matrix
*>
*> C = [ A ]
-*> [ B ]
+*> [ B ]
*>
*> where A is an upper triangular N-by-N matrix, and B is M-by-N pentagonal
*> matrix consisting of a (M-L)-by-N rectangular matrix B1 on top of a L-by-N
@@ -141,8 +141,8 @@
*> [ B2 ] <- L-by-N upper trapezoidal.
*>
*> The upper trapezoidal matrix B2 consists of the first L rows of a
-*> N-by-N upper triangular matrix, where 0 <= L <= MIN(M,N). If L=0,
-*> B is rectangular M-by-N; if M=L=N, B is upper triangular.
+*> N-by-N upper triangular matrix, where 0 <= L <= MIN(M,N). If L=0,
+*> B is rectangular M-by-N; if M=L=N, B is upper triangular.
*>
*> The matrix W stores the elementary reflectors H(i) in the i-th column
*> below the diagonal (of A) in the (N+M)-by-N input matrix C
@@ -156,12 +156,12 @@
*> [ V ] <- M-by-N, same form as B.
*>
*> Thus, all of information needed for W is contained on exit in B, which
-*> we call V above. Note that V has the same form as B; that is,
+*> we call V above. Note that V has the same form as B; that is,
*>
*> V = [ V1 ] <- (M-L)-by-N rectangular
*> [ V2 ] <- L-by-N upper trapezoidal.
*>
-*> The columns of V represent the vectors which define the H(i)'s.
+*> The columns of V represent the vectors which define the H(i)'s.
*> The (M+N)-by-(M+N) block reflector H is then given by
*>
*> H = I - W * T * W**T
@@ -173,10 +173,10 @@
* =====================================================================
SUBROUTINE DTPQRT2( M, N, L, A, LDA, B, LDB, T, LDT, INFO )
*
-* -- LAPACK computational routine (version 3.4.2) --
+* -- LAPACK computational routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* September 2012
+* December 2016
*
* .. Scalar Arguments ..
INTEGER INFO, LDA, LDB, LDT, N, M, L
@@ -227,7 +227,7 @@
* Quick return if possible
*
IF( N.EQ.0 .OR. M.EQ.0 ) RETURN
-*
+*
DO I = 1, N
*
* Generate elementary reflector H(I) to annihilate B(:,I)
@@ -241,16 +241,16 @@
DO J = 1, N-I
T( J, N ) = (A( I, I+J ))
END DO
- CALL DGEMV( 'T', P, N-I, ONE, B( 1, I+1 ), LDB,
+ CALL DGEMV( 'T', P, N-I, ONE, B( 1, I+1 ), LDB,
$ B( 1, I ), 1, ONE, T( 1, N ), 1 )
*
* C(I:M,I+1:N) = C(I:m,I+1:N) + alpha*C(I:M,I)*W(1:N-1)^H
*
- ALPHA = -(T( I, 1 ))
+ ALPHA = -(T( I, 1 ))
DO J = 1, N-I
A( I, I+J ) = A( I, I+J ) + ALPHA*(T( J, N ))
END DO
- CALL DGER( P, N-I, ALPHA, B( 1, I ), 1,
+ CALL DGER( P, N-I, ALPHA, B( 1, I ), 1,
$ T( 1, N ), 1, B( 1, I+1 ), LDB )
END IF
END DO
@@ -278,13 +278,13 @@
*
* Rectangular part of B2
*
- CALL DGEMV( 'T', L, I-1-P, ALPHA, B( MP, NP ), LDB,
+ CALL DGEMV( 'T', L, I-1-P, ALPHA, B( MP, NP ), LDB,
$ B( MP, I ), 1, ZERO, T( NP, I ), 1 )
*
* B1
*
- CALL DGEMV( 'T', M-L, I-1, ALPHA, B, LDB, B( 1, I ), 1,
- $ ONE, T( 1, I ), 1 )
+ CALL DGEMV( 'T', M-L, I-1, ALPHA, B, LDB, B( 1, I ), 1,
+ $ ONE, T( 1, I ), 1 )
*
* T(1:I-1,I) := T(1:I-1,1:I-1) * T(1:I-1,I)
*
@@ -295,7 +295,7 @@
T( I, I ) = T( I, 1 )
T( I, 1 ) = ZERO
END DO
-
+
*
* End of DTPQRT2
*