지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
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연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
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In this paper a nonlinear matrix equation is considered which has the form $$P(X)=A_0X^m+A_1X^{m-1}+{\cdots}+A_{m-1}X+A_m=0$$ where X is an $n{\times}n$ unknown real matrix and $A_m$, $A_{m-1}$, ${\cdots}$, $A_0$ are $n{\times}n$ matrices with real elements. Newtons method is applied to find 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$\acute{e}$echet derivative of P(X) is singular.
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참고문헌 (8)
참고문헌 신청
Y. Han / Finding the skew-symmetric solvent to a quadratic matrix euqation
N. J. Higham / 2001 / Solving a quadratic matrix equation by Newtons method with exact line searches / SIAM J. Matrix Anal. Appl 23:303~316
N. J. Higham / 2000 / Numerical Analysis of a Quadratic Matrix Equation / IMA J. Numer. Anal 20:499~519
W. Kratz / 1987 / Numerical solution of matrix polynomial equations by Newton's method / IMA J. Numer. Anal 7:355~369
V. Mehrmann / 2001 / Sturcture-preserving methods for computing eigenpairs of large sparse skew-Hamiltonian/Hamiltonian pencils / SIAM J. Sci. Statist. Comput 22:1905~1925
N. J. Higham / 2001 / Solving a quadratic matrix equation by Newtons method with exact line searches / SIAM J. Matrix Anal. Appl 23:303~316
N. J. Higham / 2000 / Numerical Analysis of a Quadratic Matrix Equation / IMA J. Numer. Anal 20:499~519
W. Kratz / 1987 / Numerical solution of matrix polynomial equations by Newton's method / IMA J. Numer. Anal 7:355~369
V. Mehrmann / 2001 / Sturcture-preserving methods for computing eigenpairs of large sparse skew-Hamiltonian/Hamiltonian pencils / SIAM J. Sci. Statist. Comput 22:1905~1925
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