A couple of catch-ups for the modified unit-circle zero location test

Yuval Bistritz

doi:10.1109/SYNASC61333.2023.00014

A couple of catch-ups for the modified unit-circle zero location test

Yuval Bistritz^*

^*Corresponding author for this work

School of Electrical Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

The unit-circle zero location test proposed by the author several decades ago has been improved to integrate nonessential singularities and received a version that remains faction-free for (real or Gaussian) integer polynomials with any singularity profile. In this paper we complement a modified form of the same test, proposed about a decade later, with a corresponding recursion that is not hampered by non-essential singularities and with a corresponding equally general integer preserving version.

Original language	English
Title of host publication	Proceedings - 2023 25th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing, SYNASC 2023
Editors	Sorin Stratulat, Mircea Marin, Viorel Negru, Daniela Zaharie
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	52-59
Number of pages	8
ISBN (Electronic)	9798350394122
DOIs	https://doi.org/10.1109/SYNASC61333.2023.00014
State	Published - 2023
Event	25th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing, SYNASC 2023 - Nancy, France Duration: 11 Sep 2023 → 14 Sep 2023

Publication series

Name	Proceedings - 2023 25th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing, SYNASC 2023

Conference

Conference	25th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing, SYNASC 2023
Country/Territory	France
City	Nancy
Period	11/09/23 → 14/09/23

Keywords

fraction-free algorithms
integer-preserving algorithms
The Bistritz test
the Schur-Cohn problem
the unit-circle zero location problem

Access to Document

10.1109/SYNASC61333.2023.00014

Cite this

Bistritz, Y. (2023). A couple of catch-ups for the modified unit-circle zero location test. In S. Stratulat, M. Marin, V. Negru, & D. Zaharie (Eds.), Proceedings - 2023 25th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing, SYNASC 2023 (pp. 52-59). (Proceedings - 2023 25th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing, SYNASC 2023). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/SYNASC61333.2023.00014

Bistritz, Yuval. / A couple of catch-ups for the modified unit-circle zero location test. Proceedings - 2023 25th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing, SYNASC 2023. editor / Sorin Stratulat ; Mircea Marin ; Viorel Negru ; Daniela Zaharie. Institute of Electrical and Electronics Engineers Inc., 2023. pp. 52-59 (Proceedings - 2023 25th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing, SYNASC 2023).

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keywords = "fraction-free algorithms, integer-preserving algorithms, The Bistritz test, the Schur-Cohn problem, the unit-circle zero location problem",

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Bistritz, Y 2023, A couple of catch-ups for the modified unit-circle zero location test. in S Stratulat, M Marin, V Negru & D Zaharie (eds), Proceedings - 2023 25th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing, SYNASC 2023. Proceedings - 2023 25th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing, SYNASC 2023, Institute of Electrical and Electronics Engineers Inc., pp. 52-59, 25th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing, SYNASC 2023, Nancy, France, 11/09/23. https://doi.org/10.1109/SYNASC61333.2023.00014

A couple of catch-ups for the modified unit-circle zero location test. / Bistritz, Yuval.
Proceedings - 2023 25th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing, SYNASC 2023. ed. / Sorin Stratulat; Mircea Marin; Viorel Negru; Daniela Zaharie. Institute of Electrical and Electronics Engineers Inc., 2023. p. 52-59 (Proceedings - 2023 25th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing, SYNASC 2023).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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Bistritz Y. A couple of catch-ups for the modified unit-circle zero location test. In Stratulat S, Marin M, Negru V, Zaharie D, editors, Proceedings - 2023 25th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing, SYNASC 2023. Institute of Electrical and Electronics Engineers Inc. 2023. p. 52-59. (Proceedings - 2023 25th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing, SYNASC 2023). doi: 10.1109/SYNASC61333.2023.00014

A couple of catch-ups for the modified unit-circle zero location test

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