Laurent skew orthogonal polynomials and related symplectic matrices

被引：1

作者：

Miki, Hiroshi ^{[1
]}

机构：

[1] Meteorol Coll, Asahi Cho, Kashiwa, Chiba 2770852, Japan

来源：

JOURNAL OF APPROXIMATION THEORY | 2020年 / 259卷

关键词：

Skew orthogonal polynomials; Orthogonal polynomials; Symplectic matrices; Symplectic matrix pencils; Butterfly form; ALGORITHM; SR;

D O I：

10.1016/j.jat.2020.105483

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Particular class of skew orthogonal polynomials are introduced and investigated, which possess Laurent symmetry. They are also shown to appear as eigenfunctions of symplectic generalized eigenvalue problems. Furthermore, the modification of these polynomials gives some symplectic eigenvalue problem and the corresponding symplectic matrix is equivalent to butterfly matrix, which is a canonical form of symplectic matrices. (C) 2020 Elsevier Inc. All rights reserved.

引用

页数：14

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