Title :
A symmetric matrix criterion for polynomial root clustering
Author :
Taub, Hedi ; Gutman, Shaul
Author_Institution :
Technion, Haifa, Israel
fDate :
2/1/1990 12:00:00 AM
Abstract :
The authors construct a test for the roots of a polynomial to lie in a certain algebraic region. This test uses only polynomial operations, is based on symmetric matrices, and involves n inequalities. The authors extend the results to region intersection and show the connection to generalized Bezoutians
Keywords :
matrix algebra; polynomials; algebraic region; generalized Bezoutians; polynomial operations; polynomial root clustering; region intersection; symmetric matrices; symmetric matrix criterion; Circuits and systems; Eigenvalues and eigenfunctions; Mathematics; Mechanical engineering; Polynomials; Symmetric matrices; Testing;
Journal_Title :
Circuits and Systems, IEEE Transactions on
