Bor Plestenjak

activity

20152026

most citedSolving singular generalized eigenvalue problems by a rank-completing perturbation

28 citations · 164 across the 19 of their papers we have counts for

collaborators

Showing 2016Show all

3 papers · 1 filter

math.NA2016★ 3 cited

Simple determinantal representations of up to quintic bivariate polynomials

Anita Buckley, Bor Plestenjak

For bivariate polynomials of degree $n \leq 5$ we give fast numerical constructions of determinantal representations with $n \times n$ matrices. Unlike some other available constructi…

math.AC2016

Uniform determinantal representations

Ada Boralevi, Jasper van Doornmalen, Jan Draisma +2

The problem of expressing a specific polynomial as the determinant of a square matrix of affine-linear forms arises from algebraic geometry, optimisation, complexity theory, and sc…

math.NA2016★ 8 cited

Minimal determinantal representations of bivariate polynomials

Bor Plestenjak

For a square-free bivariate polynomial $p$ of degree $n$ we introduce a simple and fast numerical algorithm for the construction of $n \times n$ matrices $A$ , $B$ , and $C$ such that…