期刊论文详细信息
JOURNAL OF APPROXIMATION THEORY 卷:163
Computation of equilibrium measures
Article
Olver, Sheehan
关键词: Equilibrium measure;    Orthogonal polynomials;    Random matrices;    Riemann-Hilbert problems;   
DOI  :  10.1016/j.jat.2011.03.010
来源: Elsevier
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【 摘 要 】

We present a new way of computing equilibrium measures numerically, based on the Riemann-Hilbert formulation. For equilibrium measures whose support is a single interval, the simple algorithm consists of a Newton-Raphson iteration where each step only involves fast cosine transforms. The approach is then generalized for multiple intervals. (C) 2011 Elsevier Inc. All rights reserved.

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