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MOC
1998
94views more  MOC 1998»
13 years 4 months ago
Numerical calculation of the multiplicity of a solution to algebraic equations
A method to calculate numerically the multiplicity of a solution to a system of algebraic equations is presented. The method is an application of Zeuthen’s rule which gives the m...
Hidetsune Kobayashi, Hideo Suzuki, Yoshihiko Sakai
ACMMPC
2000
Springer
236views Mathematics» more  ACMMPC 2000»
13 years 9 months ago
Calculating Functional Programs
Abstract. Functional programs are merely equations; they may be manipulated by straightforward equational reasoning. In particular, one can use this style of reasoning to calculate...
Jeremy Gibbons
JCAM
2011
91views more  JCAM 2011»
12 years 7 months ago
Numerical solution of linear Volterra integral equations of the second kind with sharp gradients
Collocation methods are a well developed approach for the numerical solution of smooth and weakly-singular Volterra integral equations. In this paper we extend these methods, thro...
Samuel A. Isaacson, Robert M. Kirby
EUROPAR
2006
Springer
13 years 8 months ago
Parallel Solution of Large-Scale and Sparse Generalized Algebraic Riccati Equations
We discuss a parallel algorithm for the solution of large-scale generalized algebraic Riccati equations with dimension up to O(105 ). We survey the numerical algorithms underlying ...
José M. Badía, Peter Benner, Rafael ...
AMC
2008
86views more  AMC 2008»
13 years 5 months ago
Numerical solution of stochastic Nash games with state-dependent noise for weakly coupled large-scale systems
This paper discusses the infinite horizon stochastic Nash games with state-dependent noise. After establishing the asymptotic structure along with the positive semidefiniteness for...
Muneomi Sagara, Hiroaki Mukaidani, Toru Yamamoto