8 papers
On -doubly stochastic matrices over hyperbolic (polynomial) systems
Juyoung Jeong, M. Seetharama Gowda, Sudheer Shukla
In the setting of a hyperbolic (polynomial) system of degree , an -tuple is said to be an -doubly sto…
Linear complementarity properties of some classes of banded matrices
Samapti Pratihar, M. Seetharama Gowda, K. C. Sivakumar
A banded matrix is a real square matrix where nonzero entries appear around the main diagonal. In this article, we consider linear complementarity properties of (variants) of bande…
Minimal polynomials, scaled Jordan frames, and Schur-type majorization in hyperbolic systems
M. Seetharama Gowda, Juyoung Jeong, Sudheer Shukla
Corresponding to a hyperbolic system , where is a real finite-dimensional vector space and is a hyperbolic polynomial of degree in the direction , we cons…
Completely mixed linear games and irreducibility concepts for Z-transformations over self-dual cones
Muddappa Seetharama Gowda
In the setting of a self-dual cone in a finite-dimensional inner product space, we consider (zero-sum) linear games. In our previous work, we showed that a Z-transformation with po…
Commutation principles for optimization problems on spectral sets in Euclidean Jordan algebras
Muddappa Gowda
The commutation principle of Ramirez, Seeger, and Sossa proved in the setting of Euclidean Jordan algebras says that when the sum of a real valued function and a spectral funct…
A pointwise weak-majorization inequality for linear maps over Euclidean Jordan algebras
Muddappa Gowda, Jeong Juyoung
Given a linear map on a Euclidean Jordan algebra of rank , we consider the set of all nonnegative vectors in with decreasing components that satisfy the pointwise…