STRUCTURED SINGULAR VALUES OF SOME GENERALISED STOCHASTIC MATRICES

2021 ◽  
pp. 1-10
Author(s):  
KIJTI RODTES ◽  
MUTTI UR REHMAN ABBASI
Keyword(s):  
Special Class ◽  
Singular Values ◽  
Circulant Matrices ◽  
Stochastic Matrices ◽  
Complex Matrices ◽  
Doubly Stochastic ◽  
Doubly Stochastic Matrices

Abstract We investigate a class of generalised stochastic complex matrices constructed from the class of all doubly stochastic matrices and a special class of circulant matrices. We determine the exact values of the structured singular values of all matrices in the class in terms of the constant row (column) sum.

scholarly journals On Spectral Properties of Doubly Stochastic Matrices

Symmetry ◽  
2020 ◽  
Vol 12 (3) ◽  
pp. 369
Author(s):  
Mutti-Ur Rehman ◽  
Jehad Alzabut ◽  
Javed Hussain Brohi ◽  
Arfan Hyder
Keyword(s):  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Quadratic Forms ◽  
Spectral Properties ◽  
Singular Values ◽  
Low Rank ◽  
Stochastic Matrices ◽  
Doubly Stochastic ◽  
Doubly Stochastic Matrices ◽  
The Relationship

The relationship among eigenvalues, singular values, and quadratic forms associated with linear transforms of doubly stochastic matrices has remained an important topic since 1949. The main objective of this article is to present some useful theorems, concerning the spectral properties of doubly stochastic matrices. The computation of the bounds of structured singular values for a family of doubly stochastic matrices is presented by using low-rank ordinary differential equations-based techniques. The numerical computations illustrating the behavior of the method and the spectrum of doubly stochastic matrices is then numerically analyzed.

scholarly journals Positional Voting and Doubly Stochastic Matrices

2021 ◽  
Vol 128 (4) ◽  
pp. 337-351
Author(s):  
Jacqueline Anderson ◽  
Brian Camara ◽  
John Pike
Keyword(s):  
Stochastic Matrices ◽  
Doubly Stochastic ◽  
Doubly Stochastic Matrices ◽  
Positional Voting
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