ON MATRIX AND DETERMINANT IDENTITIES FOR COMPOSITE FUNCTIONS

被引：5

作者：

Wang, Xinghua ^{[1
]}

Xu, Aimin ^{[2
]}

机构：

[1] Zhejiang Univ, Dept Math, Hangzhou 310027, Peoples R China

[2] Zhejiang Wanli Univ, Inst Math, Ningbo 315100, Zhejiang, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL MATHEMATICS | 2011年 / 29卷 / 01期

基金：

美国国家科学基金会;

关键词：

Bell polynomial; Composite function; Determinant identity; Divided difference; Matrix identity; DI-BRUNO FORMULA; STIRLING MATRIX; POLYNOMIALS; SEQUENCES;

D O I：

10.4208/jcm.1007-m3067

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present some matrix and determinant identities for the divided differences of the composite functions, which generalize the divided difference form of Faa di Bruno's formula. Some recent published identities can be regarded as special cases of our results.

引用

页码：16 / 25

页数：10

共 50 条

[31] DETERMINANT OF A PARTITIONED MATRIX
NIKOLAI, PJ
AMERICAN MATHEMATICAL MONTHLY, 1969, 76 (02): : 204 - &
[32] DETERMINANT OF A CYCLIC MATRIX
JAGERS, AA
AMERICAN MATHEMATICAL MONTHLY, 1979, 86 (02): : 129 - 130
[33] The Determinant of a Spiral Matrix
Kwong, Harris
AMERICAN MATHEMATICAL MONTHLY, 2009, 116 (04): : 368 - 369
[34] The determinant of a matrix of sines
Battaile, M
AMERICAN MATHEMATICAL MONTHLY, 2002, 109 (01): : 81 - 82
[35] The (matrix) discriminant as a determinant
Parlett, BN
LINEAR ALGEBRA AND ITS APPLICATIONS, 2002, 355 (1-3) : 85 - 101
[36] THE DETERMINANT OF AN LCM MATRIX
HOLZSAGER, R
AMERICAN MATHEMATICAL MONTHLY, 1994, 101 (09): : 917 - 918
[37] The determinant expressions of some theta constant identities
Matsuda, Kazuhide
RAMANUJAN JOURNAL, 2014, 34 (03): : 449 - 456
[38] The Faa di Bruno formula and determinant identities
Chu, WC
LINEAR & MULTILINEAR ALGEBRA, 2006, 54 (01): : 1 - 25
[39] Uniform, Integral, and Feasible Proofs for the Determinant Identities
Tzameret, Iddo
Cook, Stephen A.
JOURNAL OF THE ACM, 2021, 68 (02)
[40] Polonization as a Determinant of National Identities of Ukraine and Belarus
Royce, Dylan Payne
MGIMO REVIEW OF INTERNATIONAL RELATIONS, 2021, 14 (01): : 48 - 93

← 1 2 3 4 5 →