Spectral properties of doubly-stochastic matrices

1965 ◽  
Vol 69 (1) ◽  
pp. 35-57 ◽  
Author(s):  
Hazel Perfect ◽  
L. Mirsky
Keyword(s):  
Spectral Properties ◽  
Stochastic Matrices ◽  
Doubly Stochastic ◽  
Doubly Stochastic Matrices

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 A Note on Eigenvalues Location for Trace Zero Doubly Stochastic Matrices

2015 ◽  
Vol 30 ◽  
pp. 599-604 ◽  
Author(s):  
Luca Benvenuti
Keyword(s):  
Spectral Properties ◽  
Stochastic Matrices ◽  
Doubly Stochastic ◽  
Doubly Stochastic Matrices

Some results on the location of the eigenvalues of trace zero doubly stochastic matrices are provided. A result similar to that provided in [H. Perfect and L. Mirsky. Spectral properties of doubly–stochastic matrices. Monatshefte fur Mathematik, 69(1):35–57, 1965.] for doubly stochastic matrices is given.

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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