TY - JOUR AU - Gangatharan, N. AU - Chuah, T.C. PY - 2007 TI - An Overview of Modified Shanks’ Conjecture and Comments on its Validity JF - American Journal of Applied Sciences VL - 4 IS - 4 DO - 10.3844/ajassp.2007.184.187 UR - https://thescipub.com/abstract/ajassp.2007.184.187 AB - 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.