On the existence of complex roots of real polynomials

DOI10.1080/03081087.2015.1071312zbMath1338.12001OpenAlexW2316389594MaRDI QIDQ2805683

Lin Tie

Publication date: 12 May 2016

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2015.1071312

zbMATH Keywords

real polynomialsdiscrete-time bilinear systemsnear-controllabilitycomplex rootscommutative matrices

Mathematics Subject Classification ID

Controllability (93B05) Discrete-time control/observation systems (93C55) Integral representations of solutions to PDEs (35C15) Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10) Polynomials and rational functions of one complex variable (30C10)

Related Items (1)

Controllability and near-controllability of a class of discrete-time inhomogeneous bilinear systems

Cites Work

• On near-controllability and stabilizability of a class of discrete-time bilinear systems
• On redundance in aperiodicity criteria
• On aperiodicity theorems
• A Sufficient Condition for All the Roots of a Polynomial To Be Real
• On Near-Controllability, Nearly Controllable Subspaces, and Near-Controllability Index of a Class of Discrete-Time Bilinear Systems: A Root Locus Approach

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