Nonrecursive determination of orthonormal polynomials with matrix formulation

被引：58

作者：

Dai, Guang-ming

Mahajan, Virendra N.

机构：

[1] AMO Laser Vis Correct Grp, Santa Clara, CA 95051 USA

[2] Aerosp Corp, El Segundo, CA 90245 USA

来源：

OPTICS LETTERS | 2007年 / 32卷 / 01期

关键词：

D O I：

10.1364/OL.32.000074

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

A general theoretical approach has been developed for the determination of orthonormal polynomials over any integrable domain, such as a hexagon. This approach is better than the classical Gram-Schmidt orthogonalization process because it is nonrecursvie and can be performed rapidly with matrix transformations. The determination of the orthomormal hexagonal polynomials is demonstrated as an example of the matrix approach. (c) 2006 Optical Society of America

引用

页码：74 / 76

页数：3

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