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The solution of an integral equation using the method of moments leads to a system of linear equations. The resulting system of equations can be solved by direct and iterative methods. This paper introduces an iterative method utilizing Brezinski's θ algorithm. The algorithm has previously been used in accelerating the convergence of a scalar sequence. With the aid of two integral equations, it is shown that the algorithm is able to accelerate the convergence of a vector sequence resulting in the solution vector. © 2008 Wiley Periodicals, Inc. Microwave Opt Technol Lett 50: 589–592, 2008; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.23155 [ABSTRACT FROM AUTHOR]

Given convex scattered data in R3 we consider the constrained interpolation problem of finding a smooth, minimal Lp-norm (1 < p < ∞) interpolation network that is convex along the edges of an associated triangulation. In previous work the problem has been reduced to the solution of a nonlinear system of equations. In this paper we formulate and analyse a Newton-type algorithm for solving the corresponding type of systems. The correctness of the application of the proposed method is proved and its superlinear (in some cases quadratic) convergence is shown. Copyright © 2000 John Wiley & Sons, Ltd. [ABSTRACT FROM AUTHOR]