Record number :
824753
Title of article :
Approximating sums of squares with a single square Original Research Article
Author/Authors :
Yvan Hachez، نويسنده , , Hugo J. Woerdeman، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2005
Pages :
15
From page :
187
To page :
201
Abstract :
In this paper, we explore the following question. Given a trigonometric polynomial q(z1, … , zd) of several variables that is non-negative on the d-torus, how does one best approximate q with a (possibly outer) single modulus square? Our answer will lie in the notion of an outer component, which coincides with the outer factor in the case of one variable. The outer component may be computed numerically using semidefinite programming. We shall derive some properties of outer components, as well as pose some open problems.
Keywords :
spectral factorization , Outer component , Sums of squares , semidefinite programming , Multivariable trigonometric polynomial
Journal title :
Linear Algebra and its Applications
Journal title :
Linear Algebra and its Applications
Serial Year :
2005
Link To Document :
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