Campus Units
Mathematics
Document Type
Article
Publication Version
Published Version
Publication Date
11-2003
Journal or Book Title
Electronic Journal of Linear Algebra
Volume
10
First Page
257
Last Page
271
DOI
10.13001/1081-3810.1112
Abstract
In this paper it is shown that a partial sign symmetric P-matrix, whose digraph of specified entries is a symmetric n-cycle with n ≥ 6, can be completed to a sign symmetric P-matrix. The analogous completion property is also established for a partial weakly sign symmetric P-matrix and for a partial weakly sign symmetric P0-matrix. Patterns of entries for 4 × 4 matrices are classified as to whether or not a partial (weakly) sign symmetric P- or weakly sign symmetric P0-matrix specifying the pattern must have completion to the same type of matrix. The relationship between the weakly sign symmetric P- and sign symmetric P-matrix completion problems is also examined.
Copyright Owner
The Author(s)
Copyright Date
2003
Language
en
File Format
application/pdf
Recommended Citation
DeAlba, Luz Maria; Hardy, Timothy L.; Hogben, Leslie; and Wangsness, Amy, "The (weakly) sign symmetric P-matrix completion problems" (2003). Mathematics Publications. 255.
https://lib.dr.iastate.edu/math_pubs/255
Comments
This article is published as DeAlba, Luz Maria, Timothy L. Hardy, Leslie Hogben, and Amy Wangsness. "The (weakly) sign symmetric P-matrix completion problems." The Electronic Journal of Linear Algebra 10 (2003): 257-271. DOI: 10.13001/1081-3810.1112. Posted with permission.