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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

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

The 2020 MCQ for Mathematics of Computation is 1.78.

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A modified method for reconstructing periodic Jacobi matrices
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by Daniel Boley and Gene H. Golub PDF
Math. Comp. 42 (1984), 143-150 Request permission

Abstract:

In this note, we discuss the reconstruction of periodic Jacobi matrices from spectral data. The method combines ideas and techniques from the algorithms given by Boley and Golub [1], [2], and Ferguson [3], resulting in a numerically stable algorithm applicable to a larger class of problems. The number of initial data items needed for this method equals the number of items in the resulting matrix, namely 2n.
References
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Additional Information
  • © Copyright 1984 American Mathematical Society
  • Journal: Math. Comp. 42 (1984), 143-150
  • MSC: Primary 65F15; Secondary 15A18
  • DOI: https://doi.org/10.1090/S0025-5718-1984-0725989-1
  • MathSciNet review: 725989