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5 papers
Structured Linearizations of Structured Rational Matrices
Avisek Bist, Namita Behera
Numerical computations involving rational matrices often benefit from preserving underlying matrix structures such as symmetry, Hermitian properties, or sparsity that reflect physi…
Linearizations of Quadratic Two-parameter Matrix Polynomial Via Newton basis
Avisek Bist, Namita Behera
Given a quadratic two-parameter matrix polynomial in Newton basis , we construct a vector space of linear two-parameter matrix polynomials and identify a set of linear…
Vector Spaces of Linearizations for Multivariable State-Space Systems
Avisek Bist, Namita Behera
Consider a multivariable state space system and associated transfer function G(λ). The aim of this paper is to define and analyze two vector spaces of matrix pencils associated wit…
Fiedler Linearizations of Rectangular Rational Matrix Functions
Namita Behera, Avisek Bist, Volker Mehrmann
Linearization is a standard approach in the computation of eigenvalues, eigenvectors and invariant subspaces of matrix polynomials and rational matrix value functions. An important…
Fiedler Linearizations of Multivariable State-Space System and its Associated System Matrix
Namita Behera, Avisek Bist
Linearization is a standard method in the computation of eigenvalues and eigenvectors of matrix polynomials. In the last decade a variety of linearization methods have been develop…