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A bisection method for computing the H_infinity-norm of a transfer matrix and related problems
Transfer matrix singular value assessment the Hamiltonian matrix characteristic values of linear algebra
2015/8/13
Inspired by recent work of Byers we establish a simple connection between the singular values of a transfer matrix evaluated along the imaginary axis and the imaginary eigenvalues of a related Hamilto...
Method of centers for minimizing generalized eigenvalues
quasiconvex nondifferentiable optimization generalized eigenvalue linear fractional programming analytic center method of centers interior point method logarithmic barrier Newton algorithm path-following method ellipsoidal approximations
2015/8/12
We consider the problem of minimizing the largest generalized eigenvalue of a pair of symmetric matrices, each of which depends affinely on the decision variables. Although this problem may appear spe...
A primal-dual operator splitting method for conic optimization
Character segmentation conic optimization yield distributed linear algebra
2015/8/7
We develop a simple operator splitting method for solving a primal conic optimization problem; we show that the iterates also solve the dual problem. The resulting algorithm is very simple to describe...
The Nyström method for functional quantization with an application to the fractional Brownian motion
integral equation Nyströ m method Gaussian semi-martingale functional quantization
2010/12/1
In this article, the so-called "Nyström method" is tested to compute optimal quantizers of Gaussian processes. In particular, we derive the optimal quantization of the fractional Brownian motion ...
A direct method for solving the generalized sine-Gordon equation
generalized sine-Gordon equation direct method
2010/4/1
The generalized sine-Gordon (sG) equation was derived as an integrable generalization of the sG equation. In this paper, we develop a direct method for solving the generalized sG equation without reco...
A LQP BASED INTERIOR PREDICTION-CORRECTION METHOD} FOR NONLINEAR COMPLEMENTARITY PROBLEMS
2007/12/12
To solve nonlinear complementarity problems (NCP), at each iteration,
the classical proximal point algorithm solves a well-conditioned sub-NCP while the Logarithmic-Quadratic Proximal (LQP) method so...
A PROJECTION-TYPE METHOD FOR SOLVING VARIOUS WEBER PROBLEMS
Linear variational inequality Various Weber problems Projection-type method Slack technique
2007/12/12
This paper investigates various Weber problems including unconstrained
Weber problems and constrained
Weber problems under $l_1,l_2$ and $l_\infty$-norms. First with a
transformation technique vari...
A NEW SQP-FILTER METHOD FORSOLVING NONLINEAR PROGRAMMING PROBLEMS
Nonlinear programming Sequential quadratic programming Filter Restoration phase Maratos affects Global convergence Multi-objective optimization Quadratic programming subproblem
2007/12/12
In $\cite{Fletcher2002}$, Fletcher and Leyffer
present a new method that solves nonlinear programming problems without a
penalty function by SQP-Filter algorithm. It has attracted much attention
...
A DUAL COUPLED METHOD FOR BOUNDARY VALUE PROBLEMS OF PDE WITH COEFFICIENTS OF SMALL PERIOD
2007/12/11
In this paper the homogenization
method is improved to develop one kind of dual coupled approximate
method, which reflects both the macro-scope properties of whole structure
and its loadings, and m...
The analysis of the finite difference schemes with nonuniform meshes for
the problems of partial differential equations is extremely rare even
for very simple problems and even for the method of ful...
A Simple Method for Constructing Orthogonal Arrays By the Kronecker Sum
Difference matrices Kronecker sum mixed-level orthogonal arrays permutation matrices projection matrices
2007/12/11
In this article, we propose a new general approach to constructing asymmetrical orthogonal arrays, namely the Kronecker sum. It is interesting since a lot of new mixed-level orthogonal arrays can be o...
The multigrid algorithm in [13] is developed for solving nonlinear parabolic equations arising from the finite element discretization. The computational cost of the algorithm is approximate $O(N_kN)$ ...
专著信息
书名
Homoclinic bifurcation of strongly nonlinear oscillators by frequency-incremental method
语种
英文
撰写或编译
作者
Zhang Y.M.,Lu Q.S
第一作者单位
出版社
Comm. Nonlinear Sci. Numer. Simulation, 2003, 8, 1-7 (EI)
出...
IMD based nonlinear Galerkin method
2007/7/28
期刊信息
篇名
IMD based nonlinear Galerkin method
语种
英文
撰写或编译
作者
Yanren Hou,Kaitai Li
第一作者单位
刊物名称
Applied Mathematics and Mechanics
页面
24(3), 326—337, 2003
出版日期
2003年
月
日
文章标识(ISSN)
相关项目
N-S方程新型近似惯性流形构造及相应高...
期刊信息
篇名
Numerov’s method for strongly nonlinear two-point boundary value problems
语种
英文
撰写或编译
作者
王元明
第一作者单位
刊物名称
Computers and Mathematics with Applications
页面
45, 759—763, 2003.03
出版日期
2003年
3月
日
文章标...