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A new subtraction-free formula for lower bounds of the minimal singular value of an upper bidiagonal matrix.
- Source :
- Numerical Algorithms; Aug2015, Vol. 69 Issue 4, p893-912, 20p
- Publication Year :
- 2015
-
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. [ABSTRACT FROM AUTHOR]
- Subjects :
- MATHEMATICAL bounds
MATRICES (Mathematics)
LINEAR algebra
ALGEBRA
MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 10171398
- Volume :
- 69
- Issue :
- 4
- Database :
- Complementary Index
- Journal :
- Numerical Algorithms
- Publication Type :
- Academic Journal
- Accession number :
- 108594039
- Full Text :
- https://doi.org/10.1007/s11075-014-9931-z