Matrix Quadratic Equations: Algebraic Geometry

EasyChair Preprint 2094, version 2

Abstract

In  this  research  paper,  we  consider  matrix  quadratic  equations in  which  the  coefficient matrices  as  well  as  unknown  matrix  are  2 x 2 matrices. It  is  shown  that  linear  algebraic  techniques  enable  complete  characterization  of  matrix  solutions  of  such  equations. Specifically  such  matrix  equations  arising  in  queueing  theory  are explicitly  studied.

Keyphrases: Eigenvector, Matrix Quadratic Equations, algebraic geometry, eigenvalues, queueing theory

@booklet{EasyChair:2094,
  author    = {Rama Garimella and Alexander Rumyantsev and B K Krishna Kumar},
  title     = {Matrix  Quadratic  Equations:  Algebraic  Geometry},
  howpublished = {EasyChair Preprint 2094},
  year      = {EasyChair, 2020}}