On matrices with operator entries

被引:0
|
作者
Ljiljana Cvetković
Djurdjica Takači
机构
[1] University of Novi Sad,Department of Mathematics and Informatics, Faculty of Science
来源
Numerical Algorithms | 2006年 / 42卷
关键词
matrices; Mikusiński operators; differential equations; 44A40; 65J10;
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学科分类号
摘要
In this paper we consider certain matrix equations in the field of Mikusiński operators, and construct a method for obtaining an approximate solution which allows working with numerical constants instead of operators. The theory of diagonally dominant matrices is applied for the analysis, existence and character of the obtained solutions. We introduce a method for determining approximate solutions of a discrete analogue for operational differential equations and give conditions for their existence. The error of the approximation is estimated.
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页码:335 / 344
页数:9
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