학술논문
SKEW-SYMMETRIC SOLVENT FOR SOLVING A POLYNOMIAL EIGENVALUE PROBLEM
이용수 2
- 영문명
- 발행기관
- 충청수학회
- 저자명
- Yin-Huan Han Hyun-Min Kim
- 간행물 정보
- 『Journal of the Chungcheong Mathematical Society』Volume 26, No. 2, 275~285쪽, 전체 11쪽
- 주제분류
- 자연과학 > 자연과학일반
- 파일형태
- 발행일자
- 2013.05.30
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국문 초록
영문 초록
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.
목차
1. Introduction
2. Newton s methods for nonlinear matrix equation
3. Skew-symmetric solvents of the matrix polynomial P(X)
키워드
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- REMARKS ON THE PAPER:
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- SOME GEOMETRIC INEQUALITIES OF MATHEMATICAL CONDUCTANCE
- POISSON BRACKETS DETERMINED BY JACOBIANS
- MINIMAL QUASI-F COVERS OF SOME EXTENSION
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- DECOMPOSITION OF THE RANDOM VARIABLE WHOSE DISTRIBUTION IS THE RIESZ-N¶AGY-TAK¶ACS DISTRIBUTION
- SOME REMARKS ON CHAIN PROLONGATIONS IN DYNAMICAL SYSTEMS
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참고문헌
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