TY - JOUR
T1 - A modified method for reconstructing periodic jacobi matrices
AU - Boley, Daniel
AU - Golub, Gene H.
N1 - Copyright:
Copyright 2016 Elsevier B.V., All rights reserved.
PY - 1984/1
Y1 - 1984/1
N2 - 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.
AB - 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.
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U2 - 10.1090/S0025-5718-1984-0725989-1
DO - 10.1090/S0025-5718-1984-0725989-1
M3 - Article
AN - SCOPUS:84968487087
VL - 42
SP - 143
EP - 150
JO - Mathematics of Computation
JF - Mathematics of Computation
SN - 0025-5718
IS - 165
ER -