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The aim of ALENEX is to provide a forum for the presentation of original research in the design, implementation, and experimental evaluation of algorithms and data structures. Typical submissions will...
Computing bounds for the structured singular value via an interior point algorithm
Calculation structure singular value the interior point algorithm
2015/8/12
We describe an interior point algorithm for computing the upper bound for the structured singular value described in the paper by Fan, Tits and Doyle, IEEE Trans AC, Jan. 1991. We demonstrate the perf...
A New Block-Predictor Corrector Algorithm for the Solution of y’’’=f(x, y, y’, y’’)
Collection Interpolation Power Series Approximant Linear Multistep Continuous Coefficient Block Method
2013/1/30
We consider direct solution to third order ordinary differential equations in this paper. Method of collection and interpolation of the power series approximant of single variable is considered to der...
Research on Algorithm of the Point Set in the Plane Based on Delaunay Triangulation
Point-Set in the Plane Delaunay Triangulation Removing Circle Finite Element Mesh
2013/1/30
In the paper, an improved algorithm is presented for Delaunay triangulation of the point-set in the plain. Based on the original algorithm, we propose the notion of removing circle. During the process...
An Inclusion-Exclusion Algorithm for Network Reliability with Minimal Cutsets
Inclusion-Exclusion Formula Network Reliability Minimal Cutset Dynamic Programming
2013/1/30
The inclusion-exclusion formula (IEF) is a fundamental tool for evaluating network reliability with known minimal paths or minimal cuts. However, the formula contains many pairs of terms which cancel....
An Extended Multistep Shanks Transformation and Convergence Acceleration Algorithm With Their Convergence and Stability Analysis
convergence acceleration algorithm integrable system molecule solution conver- gence stability
2012/8/10
The molecule solution of an extended discrete Lotka-Volterra equation is constructed,
from which a new sequence transformation is proposed. A convergence acceleration algorithm for
implementing this...
A Nonlinear Conjugate Gradient Algorithm with An Optimal Property and An Improved Wolfe Line Search
conjugate gradient method memoryless BFGS method unconstrained optimization global convergence Wolfe line search
2012/8/10
In this paper, we seek the conjugate gradient direction closest to the direction of the
scaled memoryless BFGS method and propose a family of conjugate gradient methods for
unconstrained optimizatio...
Data Recovering Problem Using a New KMF Algorithm for Annular Domain
Inverse Problem Annular Domain Laplace Equation Iterative Method Freefem
2013/1/30
This paper is interested at the Cauchy problem for Laplace!ˉ equation, which is to recover both Dirichlet and Neumann conditions on the inaccessible part of the boundary (inner part) of an annular dom...
Convergence analysis of a multigrid algorithm for the acoustic single layer equation
Convergence analysis multigrid algorithm acoustic single layer equation
2012/2/29
We present and analyze a multigrid algorithm for the acoustic single layer equation in two dimensions. The boundary element formulation of the equation is based on piecewise constant test functions an...
Convergence of the Iterative Rational Krylov Algorithm
Iterative Rational Krylov Algorithm Numerical Analysis
2011/9/21
Abstract: The Iterative Rational Krylov Algorithm (IRKA) of [8] is an interpolatory model reduction approach to the optimal $\mathcal{H}_2$ approximation problem. Even though the method has been illus...
An algorithm for autonomously plotting solution sets in the presence of turning points
turning point implicit function cusp bifurcation curv
2011/8/23
Abstract: Plotting solution sets for particular equations may be complicated by the existence of turning points. Here we describe an algorithm which not only overcomes such problematic points, but doe...
The su(n) WZNW fusion ring as integrable model: a new algorithm to compute fusion coefficients
Quantum integrable models Plactic algebra Bethe Ansatz Fusion ring Verlinde algebra Symmetric functions
2011/7/7
This is a proceedings article reviewing a recent combinatorial construction of the su(n) WZNW fusion ring by C. Stroppel and the author. It contains one novel aspect: the explicit derivation of an alg...
A New Algorithm for Determinant Evaluation - The Reduction Method
New Algorithm Determinant Evaluation - The Reduction Method
2011/1/19
We present here a new method for determinant evaluation – the reduction method. Firstly,in the section 2, we apply it to third order determinants and after, in the section 3, we generalize it to highe...
Multistep epsilon-algorithm, Shanks' transformation, and Lotka-Volterra system by Hirota's method
Multistep epsilon-algorithm Shanks' transformation Lotka-Volterra system Hirota's method
2011/2/28
In this paper, we give a multistep extension of the "–algorithm of Wynn, and we show that it implements a multistep extension of the Shanks’ sequence transformation which is cdefined by ratios of dete...
A new algorithm for computing the multivariate Faà di Bruno's formula
multivariate composite function Fa`a di Bruno’s formula multivariate cumulant
2011/3/1
A new algorithm for computing the multivariate Fa`a di Bruno’s formula is provided.We use a symbolic approach based on the classical umbral calculus that turns the computation of the multivariate Fa`a...