Title
Computing Singular Value Decompositions of Parameterized Matrices with Total Nonpositivity to High Relative Accuracy.
Abstract
In the last years, much effort has been devoted to high relative accuracy algorithms for the singular value problem. However, such algorithms have been constructed only for a few classes of matrices with certain structure or properties. In this paper, we study a different class of matrices--parameterized matrices with total nonpositivity. We develop a new algorithm to compute singular value decompositions of such matrices to high relative accuracy. Our numerical results confirm the high relative accuracy of our algorithm.
Year
DOI
Venue
2017
10.1007/s10915-016-0315-5
J. Sci. Comput.
Keywords
Field
DocType
Totally nonpositive matrices, Singular value decomposition, High relative accuracy, 65F15, 15A18
Singular value decomposition,Mathematical optimization,Parameterized complexity,Singular value,Matrix (mathematics),Mathematics
Journal
Volume
Issue
ISSN
71
2
1573-7691
Citations 
PageRank 
References 
0
0.34
12
Authors
2
Name
Order
Citations
PageRank
Rong Huang141.47
Delin Chu2242.72