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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Linear Convergence of a Primal-dual Algorithm for Multi-agent Interval Optimization
多智能体 区间优化 原对偶算法 线性收敛
2023/4/21
In this talk, we consider a distributed interval optimization problem (DIOP) with uncertainties, whose global function is formed by local convex interval functions. In seeking Pareto solutions for dis...
A Nonlinear Reconstruction Algorithm from Absolute Value of Frame Coefficients for Low Redundancy Frames
Nonlinear Reconstruction Algorithm Absolute Value of Frame Coefficients Low Redundancy Frames
2015/9/29
In this paper we present a signal reconstruction algorithm from absolute value of frame coefficients that requires arelatively low redundancy. The basic idea is to use a nonlinear embedding of the inp...
The Spider Algorithm
Spider Algorithm
2015/8/26
One of the reasons complex analytic dynamics has been such a successful subject is the deep relation that has surfaced between conformal mapping, dynamics and combinatorics. The object of the spider a...
Computation of the maximum H_infinity-norm of parameter-dependent linear systems by a branch and bound algorithm
Calculation algorithm parameter linear system a branch and bound algorithm linear system
2015/8/12
For linear systems that contain unspecified parameters that lie in given intervals, we present a branch and bound algorithm for computing the maximum H_infinity-norm over the set of uncertain paramete...
Branch-and-bound algorithm for computing the minimum stability degree of parameter-dependent linear systems
Branch and bound algorithm linear systems a robust nonlinear and linear system stability the parameters of linear system
2015/8/12
We consider linear systems with unspecified parameters that lie between given upper and lower bounds. Except for a few special cases, the computation of many quantities of interest for such systems ca...
A fast algorithm for multilinear operators
Multilinear operators Fast Fourier transform Multiscale decomposition Low-rank approximation
2015/7/14
This paper introduces a fast algorithm for computing multilinear integrals which are defined through Fourier multipliers. The algorithm is based on generating a hierarchical decomposition of the summa...
A complete algorithm for determining copositive matrices
A complete algorithm for determining copositive matrices math
2010/11/15
In this paper, we present a complete algorithm called COPOMATRIX for determining the copositivity of an $n\times n$ matrix. The core of this algorithm is decomposition theorem, which is used to deal ...
Extended Zeilberger's Algorithm for Identities on Bernoulli and Euler Polynomials
Bernoulli number Euler number Bernoulli polynomial Euler polynomial Zeilberger's algorithm
2014/6/3
We present a computer algebra approach to proving identities on Bernoulli polynomials and Euler polynomials by using the extended Zeilberger's algorithm given by Chen, Hou and Mu. The key idea is to u...
Binary A±nity Genetic Algorithm
genetic algorithm selection degree individual owing population diversity global optimization
2013/9/9
Based on certain phenomena from the human society and nature, we propose a binary a±nity genetic algorithm(aGA) by adopting the following strategies: the population is adaptively updated to avoid stag...
Nonterminating Basic Hypergeometric Series and the q-Zeilberger Algorithm
basic hypergeometric series q-Zeilberger algorithm Bailey's very-well-poised summation formula Sears-Carlitz transformation Rogers-Fine identity
2014/6/3
We present a systematic method for proving nonterminating basic hypergeometric identities. Assume that k is the summation index. By setting a parameter x to xqn, we may find a recurrence relation of t...
Converging to Gosper's Algorithm
Gosper's algorithm Abramov's algorithm universal denominator dispersion
2014/6/3
Given two polynomials, we find a convergence property of the GCD of the rising factorial and the falling factorial. Based on this property, we present a unified approach to computing the universal den...
期刊信息
篇名
A trust-region algorithm for nonlinear inequality constrained optimization
语种
英文
撰写或编译
作者
童小娇,周叔子
第一作者单位
刊物名称
Journal of Computational Mathematics
页面
21(2),2003,207-220
出版日期
2003年
月
日
文章标识(ISS...
期刊信息
篇名
An Approximate Algorithm for a Class of Nonlinear Bilevel Integer Programming
语种
英文
撰写或编译
撰写
作者
李磊,滕春贤
第一作者单位
哈尔滨理工大学
刊物名称
J. Systems Science and Systems Engineering
页面
出版日期
2002年
11月
日
文章标识(I...
期刊信息
篇名
Global convergence of a trust region algorithm for nonlinear inequality constrained optimization problemspp.
语种
中文
撰写或编译
撰写
作者
(Hongxia Yin,Zhongwen Chen and Jiye Han
第一作者单位
中国科学院研究生院
刊物名称
Num...
A Polynomial Time Algorithm to Find Rational General Solutions of First Order Autonomous ODEs
Rational general solution rst order autonomous ODE rational parameterizations Laurent series Pade approximants polynomial time algorithm
2013/9/9
We give a necessary and su±cient condition for an algebraic ODE to have a rational type general solution. For a ˉrst order autonomous ODE F = 0, we give an exact degree bound for its rational solution...