Published December 2018
| Version v1
Journal article
Symmetric, Hankel-Symmetric, and Centrosymmetric Doubly Stochastic Matrices
Creators
- 1. University of Wisconsin, Department of Mathematics (United States)
- 2. Georgian Court University, Department of Mathematics (United States)
Description
We investigate convex polytopes of doubly stochastic matrices having special structures: symmetric, Hankel-symmetric, centrosymmetric, and both symmetric and Hankel-symmetric. We determine dimensions of these polytopes and classify their extreme points. We also determine a basis of the real vector spaces generated by permutation matrices with these special structures.
Additional details
Identifiers
Publishing Information
- Journal Title
- Acta Mathematica Vietnamica
- Journal Volume
- 43
- Journal Issue
- 4
- Journal Page Range
- p. 675-700
- ISSN
- 0251-4184
INIS
- Country of Publication
- Viet Nam
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 50044435
- Subject category
- S97: MATHEMATICAL METHODS AND COMPUTING;
- Descriptors DEI
- MATRICES; SPACE; STOCHASTIC PROCESSES; SYMMETRY; VECTORS
- Descriptors DEC
- TENSORS
Optional Information
- Copyright
- Copyright (c) 2018 Institute of Mathematics, Vietnam Academy of Science and Technology (VAST) and Springer Nature Singapore Pte Ltd.