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| Vol., Issue. | | Pages 1019–1040

Solution to dynamic matrix linear systems by operator exponential functions

Ai-Guo Wu   Victor Sreeram   Wei-Jun Wu  
Abstract

In this paper, we present a solution of general dynamic matrix linear systems based on operator theory. For general linear operators defined in matrix form the concept of operator exponential functions is first proposed, and some properties are then established. With the proposed operator exponential functions as a tool, the solution to general matrix linear systems is derived. Furthermore, by using the obtained results on dynamic matrix systems, the solution of a class of general linear matrix equations is expressed in the form of infinite integration.

Original Text (This is the original text for your reference.)

Solution to dynamic matrix linear systems by operator exponential functions

In this paper, we present a solution of general dynamic matrix linear systems based on operator theory. For general linear operators defined in matrix form the concept of operator exponential functions is first proposed, and some properties are then established. With the proposed operator exponential functions as a tool, the solution to general matrix linear systems is derived. Furthermore, by using the obtained results on dynamic matrix systems, the solution of a class of general linear matrix equations is expressed in the form of infinite integration.

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Ai-Guo Wu,Victor Sreeram,Wei-Jun Wu,.Solution to dynamic matrix linear systems by operator exponential functions. (),1019–1040.

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