A Study on Determinantal Representation of Stable Polynomials

Exploring the Connection between Determinantal Representations and Stability of Polynomials

Authors

  • Mohit Kumar

Keywords:

Determinantal Representation, Stable Polynomials, Real-zero Condition, X Replacement, Y Replacement, Identities, Hermit Matrices, Deciding Representation

Abstract

In this paper you can find some findings which replace the real-zero condition with properties known as the x replacement and Y replacement. We prove that in terms of identities and hermit matrices, we may always compose a deciding representation of a stable polynomial.

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Published

2018-09-01

How to Cite

[1]
“A Study on Determinantal Representation of Stable Polynomials: Exploring the Connection between Determinantal Representations and Stability of Polynomials”, JASRAE, vol. 15, no. 7, pp. 607–609, Sep. 2018, Accessed: Jul. 17, 2024. [Online]. Available: https://ignited.in/jasrae/article/view/8752

Issue

Vol. 15 No. 7 (2018): Journal of Advances and Scholarly Researches in Allied Education (JASRAE)

Section

Articles

How to Cite

[1]
“A Study on Determinantal Representation of Stable Polynomials: Exploring the Connection between Determinantal Representations and Stability of Polynomials”, JASRAE, vol. 15, no. 7, pp. 607–609, Sep. 2018, Accessed: Jul. 17, 2024. [Online]. Available: https://ignited.in/jasrae/article/view/8752