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981.
Parameter Iteration Method for Solving Nonlinear Problem 总被引:1,自引:0,他引:1
林建国 《应用数学和力学(英文版)》2001,22(7):836-841
IntroductionTherearemanymethodsforsolvingnonlinearproblemuptonow .Forexample,alotofperturbationmethodscanbeusedtosolvetheweaknonlinearproblems,buttheyaretoostronglydependentupontheso_called“smallparameters.”TheinterpolationperturbationmethodproposedbyY… 相似文献
982.
Modified modulus‐based matrix splitting iteration methods for linear complementarity problems
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Wei‐wei Xu 《Numerical Linear Algebra with Applications》2015,22(4):748-760
For solving the large sparse linear complementarity problems, we establish modified modulus‐based matrix splitting iteration methods and present the convergence analysis when the system matrices are H+‐matrices. The optima of parameters involved under some scopes are also analyzed. Numerical results show that in computing efficiency, our new methods are superior to classical modulus‐based matrix splitting iteration methods under suitable conditions. Copyright © 2015 John Wiley & Sons, Ltd. 相似文献
983.
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986.
Existence of fixed points of multivalued mappings that satisfy a certain contractive condition was proved by N. Mizoguchi
and W. Takahashi. An alternative proof of this theorem was given by Peter Z. Daffer and H. Kaneko. In the present paper, we
give a simple proof of that theorem. Also, we define Mann and Ishikawa iterates for a multivalued map T with a fixed point p and prove that these iterates converge to a fixed point q of T under certain conditions. This fixed point q may be different from p. To illustrate this phenomenon, an example is given.
This work is supported by the U. G. C. Grant No. U4/4997/97-98. G. V. R. Babu thanks the University Grants Commission, India
for the financial support. 相似文献
987.
We study the application of the asymptotic iteration method to the Khare-Mandal potential and its PT-symmetric partner. The eigenvalues and eigenfunctions for both potentials are obtained analytically. We have shown that although
the quasi-exactly solvable energy eigenvalues of the Khare-Mandal potential are found to be in complex conjugate pairs for
certain values of potential parameters, its PT-symmetric partner exhibits real energy eigenvalues in all cases.
相似文献
988.
Arthur W. Apter 《Mathematical Logic Quarterly》2009,55(3):271-279
We construct a model for the level by level equivalence between strong compactness and supercompactness in which the least supercompact cardinal κ has its strong compactness indestructible under adding arbitrarily many Cohen subsets. There are no restrictions on the large cardinal structure of our model (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim) 相似文献
989.
We incorporate our recent preconditioning techniques into the classical inverse power (Rayleigh quotient) iteration for computing matrix eigenvectors. Every loop of this iteration essentially amounts to solving an ill conditioned linear system of equations. Due to our modification we solve a well conditioned linear system instead. We prove that this modification preserves local quadratic convergence, show experimentally that fast global convergence is preserved as well, and yield similar results for higher order inverse iteration, covering the cases of multiple and clustered eigenvalues. 相似文献
990.
Xiu-xiang Liu Pei-xuan Weng 《应用数学学报(英文版)》2006,22(3):369-386
We deal with asymptotic speed of wave propagation for a discrete reactlon-diffusion equation. We find the minimal wave speed c★ from the characteristic equation and show that c★ is just the asymptotic speed of wave propagation. The isotropic property and the existence of solution of the initial value problem for the given equation are also discussed. 相似文献