A quadratic form representation of polynomials of several variables and its applications
N.K. Bose, C. Li · IEEE Transactions on Automatic Control · 1968
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 severe 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.