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authorjulie <julielangou@users.noreply.github.com>2011-10-06 06:53:11 +0000
committerjulie <julielangou@users.noreply.github.com>2011-10-06 06:53:11 +0000
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+*> \brief \b CTRSYL
+*
+* =========== DOCUMENTATION ===========
+*
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
+*
+* Definition
+* ==========
+*
+* SUBROUTINE CTRSYL( TRANA, TRANB, ISGN, M, N, A, LDA, B, LDB, C,
+* LDC, SCALE, INFO )
+*
+* .. Scalar Arguments ..
+* CHARACTER TRANA, TRANB
+* INTEGER INFO, ISGN, LDA, LDB, LDC, M, N
+* REAL SCALE
+* ..
+* .. Array Arguments ..
+* COMPLEX A( LDA, * ), B( LDB, * ), C( LDC, * )
+* ..
+*
+* Purpose
+* =======
+*
+*>\details \b Purpose:
+*>\verbatim
+*>
+*> CTRSYL solves the complex Sylvester matrix equation:
+*>
+*> op(A)*X + X*op(B) = scale*C or
+*> op(A)*X - X*op(B) = scale*C,
+*>
+*> where op(A) = A or A**H, and A and B are both upper triangular. A is
+*> M-by-M and B is N-by-N; the right hand side C and the solution X are
+*> M-by-N; and scale is an output scale factor, set <= 1 to avoid
+*> overflow in X.
+*>
+*>\endverbatim
+*
+* Arguments
+* =========
+*
+*> \param[in] TRANA
+*> \verbatim
+*> TRANA is CHARACTER*1
+*> Specifies the option op(A):
+*> = 'N': op(A) = A (No transpose)
+*> = 'C': op(A) = A**H (Conjugate transpose)
+*> \endverbatim
+*>
+*> \param[in] TRANB
+*> \verbatim
+*> TRANB is CHARACTER*1
+*> Specifies the option op(B):
+*> = 'N': op(B) = B (No transpose)
+*> = 'C': op(B) = B**H (Conjugate transpose)
+*> \endverbatim
+*>
+*> \param[in] ISGN
+*> \verbatim
+*> ISGN is INTEGER
+*> Specifies the sign in the equation:
+*> = +1: solve op(A)*X + X*op(B) = scale*C
+*> = -1: solve op(A)*X - X*op(B) = scale*C
+*> \endverbatim
+*>
+*> \param[in] M
+*> \verbatim
+*> M is INTEGER
+*> The order of the matrix A, and the number of rows in the
+*> matrices X and C. M >= 0.
+*> \endverbatim
+*>
+*> \param[in] N
+*> \verbatim
+*> N is INTEGER
+*> The order of the matrix B, and the number of columns in the
+*> matrices X and C. N >= 0.
+*> \endverbatim
+*>
+*> \param[in] A
+*> \verbatim
+*> A is COMPLEX array, dimension (LDA,M)
+*> The upper triangular matrix A.
+*> \endverbatim
+*>
+*> \param[in] LDA
+*> \verbatim
+*> LDA is INTEGER
+*> The leading dimension of the array A. LDA >= max(1,M).
+*> \endverbatim
+*>
+*> \param[in] B
+*> \verbatim
+*> B is COMPLEX array, dimension (LDB,N)
+*> The upper triangular matrix B.
+*> \endverbatim
+*>
+*> \param[in] LDB
+*> \verbatim
+*> LDB is INTEGER
+*> The leading dimension of the array B. LDB >= max(1,N).
+*> \endverbatim
+*>
+*> \param[in,out] C
+*> \verbatim
+*> C is COMPLEX array, dimension (LDC,N)
+*> On entry, the M-by-N right hand side matrix C.
+*> On exit, C is overwritten by the solution matrix X.
+*> \endverbatim
+*>
+*> \param[in] LDC
+*> \verbatim
+*> LDC is INTEGER
+*> The leading dimension of the array C. LDC >= max(1,M)
+*> \endverbatim
+*>
+*> \param[out] SCALE
+*> \verbatim
+*> SCALE is REAL
+*> The scale factor, scale, set <= 1 to avoid overflow in X.
+*> \endverbatim
+*>
+*> \param[out] INFO
+*> \verbatim
+*> INFO is INTEGER
+*> = 0: successful exit
+*> < 0: if INFO = -i, the i-th argument had an illegal value
+*> = 1: A and B have common or very close eigenvalues; perturbed
+*> values were used to solve the equation (but the matrices
+*> A and B are unchanged).
+*> \endverbatim
+*>
+*
+* Authors
+* =======
+*
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
+*
+*> \date November 2011
+*
+*> \ingroup complexSYcomputational
+*
+* =====================================================================
SUBROUTINE CTRSYL( TRANA, TRANB, ISGN, M, N, A, LDA, B, LDB, C,
$ LDC, SCALE, INFO )
*
-* -- LAPACK routine (version 3.3.1) --
+* -- LAPACK computational routine (version 3.3.1) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* -- April 2011 --
+* November 2011
*
* .. Scalar Arguments ..
CHARACTER TRANA, TRANB
@@ -15,74 +163,6 @@
COMPLEX A( LDA, * ), B( LDB, * ), C( LDC, * )
* ..
*
-* Purpose
-* =======
-*
-* CTRSYL solves the complex Sylvester matrix equation:
-*
-* op(A)*X + X*op(B) = scale*C or
-* op(A)*X - X*op(B) = scale*C,
-*
-* where op(A) = A or A**H, and A and B are both upper triangular. A is
-* M-by-M and B is N-by-N; the right hand side C and the solution X are
-* M-by-N; and scale is an output scale factor, set <= 1 to avoid
-* overflow in X.
-*
-* Arguments
-* =========
-*
-* TRANA (input) CHARACTER*1
-* Specifies the option op(A):
-* = 'N': op(A) = A (No transpose)
-* = 'C': op(A) = A**H (Conjugate transpose)
-*
-* TRANB (input) CHARACTER*1
-* Specifies the option op(B):
-* = 'N': op(B) = B (No transpose)
-* = 'C': op(B) = B**H (Conjugate transpose)
-*
-* ISGN (input) INTEGER
-* Specifies the sign in the equation:
-* = +1: solve op(A)*X + X*op(B) = scale*C
-* = -1: solve op(A)*X - X*op(B) = scale*C
-*
-* M (input) INTEGER
-* The order of the matrix A, and the number of rows in the
-* matrices X and C. M >= 0.
-*
-* N (input) INTEGER
-* The order of the matrix B, and the number of columns in the
-* matrices X and C. N >= 0.
-*
-* A (input) COMPLEX array, dimension (LDA,M)
-* The upper triangular matrix A.
-*
-* LDA (input) INTEGER
-* The leading dimension of the array A. LDA >= max(1,M).
-*
-* B (input) COMPLEX array, dimension (LDB,N)
-* The upper triangular matrix B.
-*
-* LDB (input) INTEGER
-* The leading dimension of the array B. LDB >= max(1,N).
-*
-* C (input/output) COMPLEX array, dimension (LDC,N)
-* On entry, the M-by-N right hand side matrix C.
-* On exit, C is overwritten by the solution matrix X.
-*
-* LDC (input) INTEGER
-* The leading dimension of the array C. LDC >= max(1,M)
-*
-* SCALE (output) REAL
-* The scale factor, scale, set <= 1 to avoid overflow in X.
-*
-* INFO (output) INTEGER
-* = 0: successful exit
-* < 0: if INFO = -i, the i-th argument had an illegal value
-* = 1: A and B have common or very close eigenvalues; perturbed
-* values were used to solve the equation (but the matrices
-* A and B are unchanged).
-*
* =====================================================================
*
* .. Parameters ..