The Solution of a Toeplitz Set of Linear Equations

Author:

Zohar Shalhav1

Affiliation:

1. Jet Propulsion Laboratory, California Institute of Technology, 4800 Oak Grove Drive, Pasadena, California

Abstract

The solution of a set of m linear equations with a non-Hermitian Toeplitz associated matrix is considered. Presently available fast algorithms solve this set with 4 m 2 “operations” (an “operation” is defined here as a set of one addition and one multiplication). An improved algorithm requiring only 3 m 2 “operations” is presented.

Publisher

Association for Computing Machinery (ACM)

Subject

Artificial Intelligence,Hardware and Architecture,Information Systems,Control and Systems Engineering,Software

Reference3 articles.

1. Toeplitz Matrix Inversion: The Algorithm of W. F. Trench

2. The Wiener RMS error criterion in filter design and prediction;J. Math. and Phys.,1947

3. Weighting coefficients for the prediction of stationary time series from the finite past;SIAM J. Appl. Math.,1967

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