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 :