Abstract
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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Communicated by Tomasz Szulc.
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Cvetković, L., Takači, D. On matrices with operator entries. Numer Algor 42, 335–344 (2006). https://doi.org/10.1007/s11075-006-9049-z
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DOI: https://doi.org/10.1007/s11075-006-9049-z