DocumentCode :
1193381
Title :
A Note on LSI polynomials and Comments on a ´Proof of a Modified form of Shanks´ Conjecture´
Author :
Karivaratharajan, P. ; Reddy, H.
Volume :
32
Issue :
9
fYear :
1985
fDate :
9/1/1985 12:00:00 AM
Firstpage :
966
Lastpage :
968
Abstract :
Least Square Inverse (LSI) polynomials are classified into optimal and suboptimal LSI polynomials and the stability of LSI polynomials are investigated in the light of this classification. It is shown that a recent proof of the modified form of Shanks´ conjecture is based on the stability of 1-D suboptimal LSI polynomials which is not guaranteed. This invalidates the proof and leaves the modified Shanks´ conjecture yet to be proved.
Keywords :
Autocorrelation; Circuits and systems; Computer aided software engineering; Equations; Large scale integration; Least squares approximation; Least squares methods; Polynomials; Stability; Two dimensional displays;
fLanguage :
English
Journal_Title :
Circuits and Systems, IEEE Transactions on
Publisher :
ieee
ISSN :
0098-4094
Type :
jour
DOI :
10.1109/TCS.1985.1085803
Filename :
1085803
Link To Document :
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