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Title of Journal: Numer Algor

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Abbravation: Numerical Algorithms

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Springer US

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DOI

10.1007/bf02535554

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1572-9265

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A new subtractionfree formula for lower bounds of

Authors: Takumi Yamashita Kinji Kimura Yusaku Yamamoto
Publish Date: 2014/10/22
Volume: 69, Issue: 4, Pages: 893-912
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Abstract

Traces of inverse powers of a positive definite symmetric tridiagonal matrix give lower bounds of the minimal singular value of an upper bidiagonal matrix In a preceding work a formula for the traces which gives the diagonal entries of the inverse powers is presented In this paper we present another formula which gives the traces based on a quite different idea from the one in the preceding work An efficient implementation of the formula for practice is also presented

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