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# LAPACK-Style Algorithms and Software for Solving the Generalized Sylvester Equation and Estimating the Separation Between Regular Matrix Pairs

@article{Kgstrm1996LAPACKStyleAA, title={LAPACK-Style Algorithms and Software for Solving the Generalized Sylvester Equation and Estimating the Separation Between Regular Matrix Pairs}, author={Bo K{\aa}gstr{\"o}m and Peter Poromaa}, journal={ACM Trans. Math. Softw.}, year={1996}, volume={22}, pages={78-103} }

- Published 1996 in ACM Trans. Math. Softw.
DOI:10.1145/225545.225552

Robust and fast software to solve the generalized Sylvester equation (AR - LB = C, DR - LE = F) for unknowns R and L is presented. This special linear system of equations, and its transpose, arises in computing error bounds for computed eigenvalues and eigenspaces of the generalized eigenvalue problem S-λT, in computing deflating subspaces of the same problem, and in computing certain decompositions of transfer matrices arising in control theory. Our contributions are twofold. First, we… CONTINUE READING

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