Algorithm 705
swMATH ID:  8105 
Software Authors:  Gardiner, Judith D.; Wette, Matthew R.; Laub, Alan J.; Amato, James J.; Moler, Cleve B. 
Description:  Algorithm 705: a Fortran77 software package for solving the Sylvester matrix equation AXB T +CXD T =E. This paper documents a software package for solving the Sylvester matrix equation (1) AXBT + CXDT = e All quantities are real matrices; A and C are m x n; B and D are m x n; and X and E are m x n. The unknown is X. Two symmetric forms of Eq. (1) are treated separately for efficiency. They are the continuoustime symmetric Sylvester equation (2) AXET + EXAT + C = 0 and the discrete time equation (3) AXAT + C = 0, for which A, E, and C is symmetric. The software also provides a means for estimating the condition number of these three equations. The algorithms employed are more fully described in an accompanying paper. 
Homepage:  http://dl.acm.org/citation.cfm?id=146847.146930 
Related Software:  SLICOT; Algorithm 432; mctoolbox; LAPACK; LYAPACK; Matlab; mftoolbox; CTLEX; ARPACK; benchmodred; RICPAC; CAREX; Algorithm 679; Scilab; LINPACK; CALGO; FFTW; ATLAS; SQUINT 
Referenced in:  14 Publications 
Standard Articles
1 Publication describing the Software, including 1 Publication in zbMATH  Year 

Algorithm 705: A FORTRAN77 software package for solving the Sylvester matrix equation \(AXB^T+CXD^T=E\). Zbl 0893.65027 Gardiner, Judith D.; Wette, Matthew R.; Laub, Alan J.; Amato, James J.; Moler, Cleve B. 
1992

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Referenced by 22 Authors
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Referenced in 8 Serials
Referenced in 4 Fields
14  Numerical analysis (65XX) 
12  Linear and multilinear algebra; matrix theory (15XX) 
2  Systems theory; control (93XX) 
1  Calculus of variations and optimal control; optimization (49XX) 