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author | julie <julielangou@users.noreply.github.com> | 2011-10-06 06:53:11 +0000 |
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committer | julie <julielangou@users.noreply.github.com> | 2011-10-06 06:53:11 +0000 |
commit | e1d39294aee16fa6db9ba079b14442358217db71 (patch) | |
tree | 30e5aa04c1f6596991fda5334f63dfb9b8027849 /SRC/ctrsyl.f | |
parent | 5fe0466a14e395641f4f8a300ecc9dcb8058081b (diff) | |
download | lapack-e1d39294aee16fa6db9ba079b14442358217db71.tar.gz lapack-e1d39294aee16fa6db9ba079b14442358217db71.tar.bz2 lapack-e1d39294aee16fa6db9ba079b14442358217db71.zip |
Integrating Doxygen in comments
Diffstat (limited to 'SRC/ctrsyl.f')
-rw-r--r-- | SRC/ctrsyl.f | 220 |
1 files changed, 150 insertions, 70 deletions
diff --git a/SRC/ctrsyl.f b/SRC/ctrsyl.f index d800cf5d..5637b31c 100644 --- a/SRC/ctrsyl.f +++ b/SRC/ctrsyl.f @@ -1,10 +1,158 @@ +*> \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 .. |