Half-Plane Minimization of Matrix-Valued Quadratic Functionals

DOI10.1137/0602023zbMath0497.15019OpenAlexW2080455531MaRDI QIDQ3961608

Y. Kamp, Y. Genin, Philippe Delsarte

Publication date: 1981

Published in: SIAM Journal on Algebraic Discrete Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0602023

zbMATH Keywords

spectral factorizationquadratic functionalsrecurrence relationsdigital signal processingstability propertiesestimation theoryhalf-plane minimizationtwo-variable Hermitian- valued measure

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Quadratic programming (90C20) Quadratic and bilinear forms, inner products (15A63)

Related Items (1)

Generalized Schur Representation of Matrix-Valued Functions

Cites Work

• The prediction theory of multivariate stochastic processes. I. The regularity condition. - II. The linear predictor
• Prediction theory and Fourier series in several variables
• The square-integrability of matrix-valued functions with respect to a non-negative Hermitian measure
• Matrix-valued Toeplitz operators
• Stability of general two-dimensional recursive digital filters
• Schur Parametrization of Positive Definite Block-Toeplitz Systems
• Bauer-type factorization of positive matrices and the theory of matrix polynomials orthogonal on the unit circle
• Half-plane Toeplitz systems
• Generalized Schur Representation of Matrix-Valued Functions
• Infinite Hankel block matrices and related extension problems
• Design of two-dimensional semicasual recursive filters
• Orthogonal polynomial matrices on the unit circle
• Matrix orthogonal polynomials on the unit circle
• Szegö Polynomials on a Compact Group with Ordered Dual
• A Convergence Equivalence Related to Polynomials Orthogonal on the Unit Circle
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Half-Plane Minimization of Matrix-Valued Quadratic Functionals