학술저널
SKEW-SYMMETRIC SOLVENT FOR SOLVING A POLYNOMIAL EIGENVALUE PROBLEM
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 26, No. 2
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2013.05275 - 285 (11 pages)
- 4
In this paper a nonlinear matrix equation is considered which has the form P(X) = A0Xm + A1Xm¡1 + ¢ ¢ ¢ + Am¡1X + Am = 0; where X is an n £ n unknown real matrix and Am, Am¡1, : : : , A0 are n £ n matrices with real elements. Newtons method is applied to ¯nd the skew-symmetric solvent of the matrix polynomial P(X). We also suggest an algorithm which converges the skew-symmetric solvent even if the Fr¶echet derivative of P(X) is singular.
1. Introduction
2. Newton s methods for nonlinear matrix equation
3. Skew-symmetric solvents of the matrix polynomial P(X)
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