Computing orthogonal polynomials

被引：0

作者：

Landram, FG ^{[1
]}

Alidaee, B ^{[1
]}

机构：

[1] UNIV MISSISSIPPI,MANAGEMENT & MKT DEPT,MISSISSIPPI STATE,MS 38677

来源：

COMPUTERS & OPERATIONS RESEARCH | 1997年 / 24卷 / 05期

关键词：

D O I：

10.1016/S0305-0548(96)00071-8

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

A simple transformation for achieving orthogonal polynomials of any order is described in this article. This transformation, called the residual procedure, is easy to understand, easy to implement in existing programs, and applicable for polynomial regression models whose data are unequally spaced. This same procedure is used in obtaining coefficients for orthogonal contrasts in the analysis of variance. The simplicity of this procedure also makes it easily adaptable to spread-sheet and data base applications. (C) 1997 Published by Elsevier Science Ltd. All rights reserved.

引用

页码：473 / 476

页数：4

共 50 条

[31] POLYNOMIALS ORTHOGONAL IN AREA AND BIBERBACHS POLYNOMIALS [J].

SUETIN, PK .

DOKLADY AKADEMII NAUK SSSR, 1969, 188 (02) :294-&

[32] CLASS OF POLYNOMIALS CONNECTED WITH ORTHOGONAL POLYNOMIALS [J].

POPOV, BS .

TENSOR, 1972, 26 :66-68

[33] Relativistic orthogonal polynomials are Jacobi polynomials [J].

Ismail, M. E. H. .

Journal of Physics A: Mathematical and General, 29 (12)

[34] Relativistic orthogonal polynomials are Jacobi polynomials [J].

Ismail, MEH .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1996, 29 (12) :3199-3202

[35] Polynomials orthogonal in the Sobolev sense, generated by Chebyshev polynomials orthogonal on a mesh [J].

Sharapudinov I.I. ;

Sharapudinov T.I. .

Russian Mathematics, 2017, 61 (8) :59-70

[36] HOW TO GENERATE UNKNOWN ORTHOGONAL POLYNOMIALS OUT OF KNOWN ORTHOGONAL POLYNOMIALS [J].

FISCHER, B ;

GOLUB, GH .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1992, 43 (1-2) :99-115

[37] Szego polynomials: some relations to L-orthogonal and orthogonal polynomials [J].

Bracciali, CF ;

da Silva, AP ;

Ranga, AS .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2003, 153 (1-2) :79-88

[38] Another connection between orthogonal polynomials and L-orthogonal polynomials [J].

de Andrade, E. X. L. ;

Bracciali, C. F. ;

Ranga, A. Sri .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 330 (01) :114-132

[39] Orthogonal homogeneous polynomials [J].

Fryant, A ;

Naftalevich, A ;

Vemuri, MK .

ADVANCES IN APPLIED MATHEMATICS, 1999, 22 (03) :371-379

[40] VECTOR ORTHOGONAL POLYNOMIALS [J].

DRAUX, A ;

MAANAOUI, A .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1990, 32 (1-2) :59-68

← 1 2 3 4 5 →