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Perturbation Analysis of Matrix Quadratic Equations

✍ Scribed by Konstantinov, M. M.; Petkov, P. Hr.; Christov, N. D.


Book ID
118186534
Publisher
Society for Industrial and Applied Mathematics
Year
1990
Weight
386 KB
Volume
11
Category
Article
ISSN
0196-5204

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We show how Van Loan's method for annulling the (2,1) block of skew-Hamiltonian matrices by symplecticorthogonal similarity transformation generalizes to general matrices and provides a numerical algorithm for solving the general quadratic matrix equation: For skew-Hamiltonian matrices we find thei