A QUADRATIC FORM REPRESENTATION OF POLYNOMIALS OF SEVERAL VARIABLES AND ITS APPLICATIONS

被引:12
作者
BOSE, NK
LI, CC
机构
[1] Dept. of Elec. Engrg., University of Pittsburgh, Pittsburgh, Pa.
关键词
D O I
10.1109/TAC.1968.1098953
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this correspondence, a quadratic form representation of a polynomial of several variables is given. This representation is utilized to express a sufficient condition for positive definiteness of any real polynomial of several variables in terms of the positive definiteness of a real constant matrix, directly obtainable from the coefficients of the polynomial under consideration. Examples are included to illustrate the scope of the procedure. Copyright © 1968 by The Institute of Electrical and Electronics Engineers, Inc.
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页码:447 / &
相关论文
共 2 条
[1]  
GADENZ RN, 1964, IEEE AUTO C, VAC 9, P187
[2]  
REZA FM, 1967, 10 P MIDW S CIRC THE, pV21