Successive Approximation Method for Solving Wu-Zhang Systems of (1 1) Dimensional

A Novel Successive Approximation Method for Solving a Class of Optimal Control Problems

This paper presents a successive approximation method (SAM) for solving a large class of optimal control problems. The proposed analytical-approximate method, successively solves the Two-Point Boundary Value Problem (TPBVP), obtained from the Pontryagin's Maximum Principle (PMP). The convergence of this method is proved and a control design algorithm with low computational complexity is present...

A METHOD FOR SOLVING FUZZY LINEAR SYSTEMS

In this paper we present a method for solving fuzzy linear systemsby two crisp linear systems. Also necessary and sufficient conditions for existenceof solution are given. Some numerical examples illustrate the efficiencyof the method.

Defuzzification method for solving fuzzy linear systems

A Successive Minima Method for Implicit Approximation

This paper is concerned with the problem of approximating a collection of unorganized data points by an algebraic tensor-product B-spline curve. The implicit approximation to data points would be ideally based on minimizing the sum of squares of geometric distance. Since the geometric distance from a point to an implicit curve cannot be computed analytically, Sampson distance, which is the firs...

Hierarchical low-rank approximation of tensors by successive rank one corrections for preconditioning and solving high dimensional linear systems

We propose an algorithm for preconditioning and solving high dimensional linear systems of equations in tensor format. The algorithm computes an approximation of a tensor in hierarchical Tucker format in a subspace constructed from successive rank one corrections. The algorithm can be applied for the approximation of a solution or of the inverse of an operator. In the latter case, properties su...