Approximating sums of squares with a single square

DOI10.1016/j.laa.2004.10.005zbMath1092.47019OpenAlexW2070535943MaRDI QIDQ1772730

Yvan Hachez, Hugo J. Woerdeman

Publication date: 21 April 2005

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2004.10.005

zbMATH Keywords

spectral factorizationsums of squaressemidefinite programmingmultivariable trigonometric polynomialsouter component

Mathematics Subject Classification ID

(H^infty)-control (93B36) Positive matrices and their generalizations; cones of matrices (15B48) Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68) Fourier series and coefficients in several variables (42B05)

Cites Work

• Weakly and strongly outer functions on the bidisc
• Generalized Schur complements
• Positive matrix functions on the bitorus with prescribed Fourier coefficients in a band
• On factorization of trigonometric polynomials
• Positive extension, Fejér-Riesz factorization and autoregressive filters in two variables
• The extension problem for positive-definite functions
• Spectral Factorizations and Sums of Squares Representations via Semidefinite Programming
• On stability properties of three- and higher dimensional linear shift-invariant digital filters
• Canonical factorization of continuous functions on the $d$-torus
• Outer factorizations in one and several variables
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