@article {10.3844/ajassp.2007.184.187, article_type = {journal}, title = {An Overview of Modified Shanks’ Conjecture and Comments on its Validity }, author = {Gangatharan, N. and Chuah, T.C.}, volume = {4}, year = {2007}, month = {Apr}, pages = {184-187}, doi = {10.3844/ajassp.2007.184.187}, url = {https://thescipub.com/abstract/ajassp.2007.184.187}, 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.}, journal = {American Journal of Applied Sciences}, publisher = {Science Publications} }