Solving two generalized nonlinear matrix equations
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DOI: 10.1007/s12190-020-01448-y
Abstract: In this paper, we consider the numerical solutions of two generalized nonlinear matrix equations. Newton’s method is applied to compute one of the generalized nonlinear matrix equations and a generalized Stein equation is obtained, then… read more here.
Keywords: nonlinear matrix; solving two; generalized nonlinear; matrix equations ... See more keywords
Solvability for a Nonlinear Matrix Equation
Sign Up to like & getrecommendations! Published in 2018 at "Bulletin of the Iranian Mathematical Society"
DOI: 10.1007/s41980-018-0080-3
Abstract: In this paper, the matrix equation $$X+\sum _{i=1}^{m}A_{i}^*X^{-q_{i}}A_{i}=I$$X+∑i=1mAi∗X-qiAi=I with $$0 read more here.
Keywords: matrix equation; equation; nonlinear matrix; solvability nonlinear ... See more keywords
A novel iterative method for the solution of a nonlinear matrix equation
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DOI: 10.1016/j.apnum.2020.03.012
Abstract: Abstract This paper provides a novel inversion free variant of the fixed point iteration strategy to obtain a maximal positive definite solution for the nonlinear matrix equation X + A ⁎ X − 1 A… read more here.
Keywords: matrix equation; solution nonlinear; nonlinear matrix; method ... See more keywords
A bifurcation theorem for nonlinear matrix models of population dynamics
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DOI: 10.1080/10236198.2019.1699916
Abstract: ABSTRACT We prove a general theorem for nonlinear matrix models of the type used in structured population dynamics that describes the bifurcation that occurs when the extinction equilibrium destabilizes as a model parameter is varied.… read more here.
Keywords: matrix models; nonlinear matrix; bifurcation theorem; theorem nonlinear ... See more keywords
The Feasibility of Homotopy Continuation Method for a Nonlinear Matrix Equation
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DOI: 10.1155/2020/1787058
Abstract: In this paper, we discuss the feasibility of homotopy continuation method for the nonlinear matrix equations with . This iterative method does not depend on a good initial approximation to the solution of matrix equation. read more here.
Keywords: homotopy continuation; nonlinear matrix; matrix equation; continuation method ... See more keywords
A block Newton’s method for computing invariant pairs of nonlinear matrix pencils
Sign Up to like & getrecommendations! Published in 2018 at "Russian Journal of Numerical Analysis and Mathematical Modelling"
DOI: 10.1515/rnam-2018-0002
Abstract: Abstract The block inverse iteration and block Newton’s methods proposed by the authors of this paper for computing invariant pairs of regular linear matrix pencils are generalized to the case of regular nonlinear matrix pencils.… read more here.
Keywords: nonlinear matrix; block newton; matrix; invariant pairs ... See more keywords