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Research Article · Free to read · Published 30 April 2007

An Overview of Modified Shanks’ Conjecture and Comments on its Validity

N. Gangatharan & T.C. Chuah

American Journal of Applied Sciences, Volume 4, Issue 4, pp. 184–187 · doi.org/10.3844/ajassp.2007.184.187

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Abstract

This study reports the validity of the modified Shanks’ conjecture on the planar least squares inverse (PLSI) method of stabilizing two-dimensional (2-D) recursive digital filters. A theoretical procedure proposed based on the Lagrange multiplier method of mathematical optimization. The results indicate that the modified Shanks’ conjecture reported by Jury was valid for special classes of 2-D polynomials.

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Gangatharan, N. & Chuah, T. (2007). An Overview of Modified Shanks’ Conjecture and Comments on its Validity . American Journal of Applied Sciences, 4(4), 184–187. https://doi.org/10.3844/ajassp.2007.184.187

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An Overview of Modified Shanks’ Conjecture and Comments on its ValidityAmerican Journal of Applied Sciences · Volume 4, Issue 4 · pp. 184–187 · © Science PublicationsDownload