MTH POWER OF AN N X N MATRIC AND ITS CONNECTION WITH GENERALIZED LUCAS POLYNOMIALS

被引：13

作者：

BARAKAT, R

BAUMANN, E

机构：

[1] Division of Engineering and Applied Physics, Harvard University, Cambridge, MA

[2] Itek Corporation, Lexington, MA

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1969年 / 10卷 / 08期

关键词：

D O I：

10.1063/1.1664992

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The Mth power of an N × N matrix is expressed via the Cayley-Hamilton theorem as a linear combination of the lower powers of the matrix. The polynomial coefficients of the lower powers of the matrix are expressed in terms of polynomials in N variables, termed the generalized Lucas polynomials. The independent variables in the generalized Lucas polynomials are the traces of the lower powers of the matrix.

引用

页码：1474 / &

共 10 条

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[3] GANTHMACHER FR, 1959, THEORY MATRICES, V1
[4] GANTHMACHER FR, 1959, THEORY MATRICES, V2
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[7] Lanczos C., 1956, APPLIED ANALYSIS
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[9] ON HYPERGEOMETRIC FUNCTIONS IN ITERATED NETWORKS
MOWERY, VO
[J]. IEEE TRANSACTIONS ON CIRCUIT THEORY, 1964, CT11 (02): : 232 - &
[10] Weyl H., 1946, CLASSICAL GROUPS

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