Accession Number : AD0710309

Title :   TEST FOR POSITIVITY OF A PRESCRIBED POLYNOMIAL,

Corporate Author : SOUTHERN METHODIST UNIV DALLAS TEX INFORMATION AND CONTROL SCIENCES CENTER

Personal Author(s) : Anderson,Brian D. O.

Report Date : FEB 1970

Pagination or Media Count : 37

Abstract : The prime purpose of this paper is to outline tests which yield information about the number of real roots, and the positivity, of a prescribed polynomial. The Sturm-Routh test is reviewed and use of a Routh array for executing a Strum test is explained; a Markov test based on Markov parameters is reviewed, and a modified version of a test due to Fujiwara is given, this with its relation to the Markov parameter test. Finally, a test in the language of linear system theory is given, and a relation is noted between this and the Fujiwara test. (Author)

Descriptors :   (*POLYNOMIALS, EQUATIONS), CONTROL SYSTEMS, LINEAR SYSTEMS, ELECTRICAL NETWORKS, MATRICES(MATHEMATICS), STABILITY, THEOREMS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE