MATRICES OVER DIFFERENTIAL FIELDS WHICH COMMUTE WITH THEIR DERIVATIVE

被引：3

作者：

ADKINS, WA

EVARD, JC

GURALNICK, RM

机构：

[1] UNIV WYOMING,DEPT MATH,LARAMIE,WY 82071

[2] UNIV SO CALIF,DEPT MATH,LOS ANGELES,CA 90089

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 1993年 / 190卷

关键词：

D O I：

10.1016/0024-3795(93)90230-L

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A theorem is proved concerning the diagonalizability of a matrix over a differential field by means of a similarity transfOrmation from the field of constants of the differential field. This result contains, as a special case, known results concerning the diagonalizability over the complex numbers of a Hermitian matrix of analytic function, under the hypothesis that the matrix commutes with its derivative.

引用

页码：253 / 261

页数：9

共 9 条

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ADKINS, WA
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[2] SIMULTANEOUS DIAGONALIZATION OF MATRICES PARAMETRIZED BY A PROJECTIVE ALGEBRAIC CURVE
ADKINS, WA
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 1989, 116 : 101 - 108
[3] EVARD J, INVARIANCE COMMUTATI
[4] ON MATRIX FUNCTIONS WHICH COMMUTE WITH THEIR DERIVATIVE
EVARD, JC
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 1985, 68 (JUL) : 145 - 178
[5] HERMITIAN FUNCTION MATRICES WHICH COMMUTE WITH THEIR DERIVATIVE
GOFF, S
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 1981, 36 (MAR) : 33 - 40
[6] HOFFMAN K, 1971, LINEAR ALGEBRA
[7] Humphreys J. E., 1972, GRADUATE TEXTS MATH, V9
[8] KAPLANSKY I, 1957, INTRO DIFFERENTIAL A
[9] Rellich F., 1953, PERTURBATION THEORY

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