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NEWTON'S METHOD FOR SYMMETRIC AND BISYMMETRIC SOLVENTS OF THE NONLINEAR MATRIX EQUATIONS
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 Title & Authors
NEWTON'S METHOD FOR SYMMETRIC AND BISYMMETRIC SOLVENTS OF THE NONLINEAR MATRIX EQUATIONS
Han, Yin-Huan; Kim, Hyun-Min;
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 Abstract
One of the interesting nonlinear matrix equations is the quadratic matrix equation defined by , where X is a unknown real matrix, and A, B and C are given matrices with real elements. Another one is the matrix polynomial . Newton's method is used to find the symmetric and bisymmetric solvents of the nonlinear matrix equations Q(X) and P(X). The method does not depend on the singularity of the Frchet derivative. Finally, we give some numerical examples.
 Keywords
quadratic matrix equation;matrix polynomial;solvent;Newton's method;iterative algorithm;symmetric;bisymmetric;
 Language
English
 Cited by
1.
Diagonal update method for a quadratic matrix equation, Applied Mathematics and Computation, 2016, 283, 208  crossref(new windwow)
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