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Mathematics of Computation

Published by the American Mathematical Society, the Mathematics of Computation (MCOM) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.98.

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On the resolvent of a linear operator associated with a well-posed Cauchy problem
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by John Miller PDF
Math. Comp. 22 (1968), 541-548 Request permission

Abstract:

We show how local estimates may be obtained for holomorphic functions of a class of linear operators on a finite-dimensional linear vector space. This is accomplished by classifying the spectrum of each operator and then estimating its resolvent on certain contours in the left half-plane. We apply these methods to prove some known theorems, and in addition we obtain new estimates for the inverse of these operators. Analogous results for power-bounded operators are given in [3].
References
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Additional Information
  • © Copyright 1968 American Mathematical Society
  • Journal: Math. Comp. 22 (1968), 541-548
  • MSC: Primary 47.30; Secondary 35.00
  • DOI: https://doi.org/10.1090/S0025-5718-1968-0233220-X
  • MathSciNet review: 0233220