Spectral Factorizations and Sums of Squares Representations via Semidefinite Programming

DOI10.1137/S0895479800371177zbMath1003.65152WikidataQ114073912 ScholiaQ114073912MaRDI QIDQ2784372

John W. McLean, Hugo J. Woerdeman

Publication date: 23 April 2002

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

algorithmspectral factorizationsums of squaressemidefinite programminginner-outer factorizationtruncated moment problemmultivariable trigonometric polynomial

Mathematics Subject Classification ID

Semidefinite programming (90C22) (H^infty)-control (93B36) Numerical methods for trigonometric approximation and interpolation (65T40) Fourier series and coefficients in several variables (42B05) Trigonometric moment problems in one variable harmonic analysis (42A70)

Related Items (11)

Factorization of multivariate positive Laurent polynomials ⋮ New constructions of nonseparable tight wavelet frames ⋮ The Pythagoras number of real sum of squares polynomials and sum of square magnitudes of polynomials ⋮ Factorization of Singular Matrix Polynomials and Matrices with Circular Higher Rank Numerical Ranges ⋮ POS3POLY -- a MATLAB preprocessor for optimization with positive polynomials ⋮ Real factorization of positive semidefinite matrix polynomials ⋮ Tight wavelet frames via semi-definite programming ⋮ Positive hybrid real-trigonometric polynomials and applications to adjustable filter design and absolute stability analysis ⋮ Approximating sums of squares with a single square ⋮ Positive Carathéodory interpolation on the polydisc ⋮ Outer factorizations in one and several variables

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