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» Numerical solution of generalized Lyapunov equations
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SIAMJO
2010
85views more  SIAMJO 2010»
13 years 5 months ago
Metric Subregularity and Calmness for Nonconvex Generalized Equations in Banach Spaces
This paper concerns a generalized equation defined by a closed multifunction between Banach spaces, and we employ variational analysis techniques to provide sufficient and/or nece...
Xi Yin Zheng, Kung Fu Ng
SIAMCO
2010
97views more  SIAMCO 2010»
13 years 2 months ago
Real-Time Nonlinear Optimization as a Generalized Equation
Abstract. We establish results for the problem of tracking a time-dependent manifold arising in realtime optimization by casting this as a parametric generalized equation. We demon...
Victor M. Zavala, Mihai Anitescu
CORR
2010
Springer
94views Education» more  CORR 2010»
13 years 5 months ago
Particle Swarm Optimization Based Diophantine Equation Solver
: The paper introduces particle swarm optimization as a viable strategy to find numerical solution of Diophantine equation, for which there exists no general method of finding solu...
Siby Abraham, Sugata Sanyal, Mukund A. Sanglikar
MOC
2002
148views more  MOC 2002»
13 years 7 months ago
Convergence of an iterative algorithm for solving Hamilton-Jacobi type equations
Abstract. Solutions of the optimal control and H-control problems for nonlinear affine systems can be found by solving Hamilton-Jacobi equations. However, these first order nonline...
Jerry Markman, I. Norman Katz
JSCIC
2007
90views more  JSCIC 2007»
13 years 7 months ago
Convex ENO Schemes for Hamilton-Jacobi Equations
In one dimension, viscosity solutions of Hamilton-Jacobi (HJ) equations can be thought as primitives of entropy solutions for conservation laws. Based on this idea, both theoretica...
Chi-Tien Lin, Xu-Dong Liu