On Decompositions of Real Polynomials Using Mathematical Programming Methods ()
ABSTRACT
We present a procedure that gives us an SOS (sum of squares) decomposition of a given real polynomial in variables, if there exists such decomposition. For the case of real polynomials in non-commutative variables we extend this procedure to obtain a sum of hermitian squares SOHS) decomposition whenever there exists any. This extended procedure is the main scientific contribution of the paper.
Share and Cite:
J. Povh, "On Decompositions of Real Polynomials Using Mathematical Programming Methods,"
Applied Mathematics, Vol. 2 No. 3, 2011, pp. 309-314. doi:
10.4236/am.2011.23036.
Cited by
No relevant information.