Infinite Hankel block matrices and related extension problems

From MaRDI portal
Publication:4166863

DOI10.1090/trans2/111/06zbMath0386.15019OpenAlexW4235835971MaRDI QIDQ4166863

Vadim Adamjan, M. G. Krejn, Damir Z. Arov

Publication date: 1978

Published in: Nine Papers on Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/trans2/111/06




Related Items (45)

Generalized Schur Representation of Matrix-Valued FunctionsHalf-Plane Minimization of Matrix-Valued Quadratic FunctionalsShift invariant subspaces, factorization, and interpolation for matrices. I. The canonical caseA duality theory for robust stabilization and model reductionOn decoupling the \(H^{\infty}\)-optimal sensitivity problem for products of plantsAn extension of A-A-K Hankel approximation theory using state-space formulationAnalytic system problems and \(J\)-lossless coprime factorization for infinite-dimensional linear systemsGap metric problem for MIMO delay systems: Parametrization of all suboptimal controllersRobust stabilization of linear multivariable systems: relations to approximationGeneralized Cauchy-Vandermonde matricesOptimal Hankel-norm approximation approach to model reduction of large-scale Markov chainsMultiplicative properties of infinite block Toeplitz and Hankel matricesLipschitz continuity of \(H^{\infty}\) interpolationOn certain minimal entropy extensions appearing in dilation theory. IOn spectral tangential Nevanlinna-Pick interpolationOn the optimal solutions in spectral commutant lifting theoryFunctional models in linear algebraSuboptimal solutions to the time-varying model matching problemA Spectral Commutant Lifting TheoremOn Arov-normalized \(j_{pq}\)-elementary factorsSynthesis of 165-1165-1165-1-optimal linear feedback systemsHow conservative is frozen-time interpolation?Extremal classical interpolation problems (matrix case)Optimal Hankel norm approximation for the Pritchard-Salamon class of infinite-dimensional systemsOrthogonal systems related to infinite Hankel matricesSub-optimal Hankel norm approximation for the analytic class of infinite-dimensional systemsNon-full-rank causal approximations of full-rank multivariate stationary processes with rational spectrumNehari problems and equalizing vectors for infinite-dimensional systemsLocal-global model reduction of parameter-dependent, single-phase flow models via balanced truncationContinuity of optimal robustness and robust stabilization in slowly varying systemsThe Nehari problem for nonexponentially stable systemsThe 2-block superoptimal AAK problemLossless chain scattering matrices and optimum linear prediction: The vector caseAnalytic approximation of matrix functions in \(L^p\)Nevanlinna-Pick Interpolation via Graph Spaces and Kreĭn-space Geometry: A SurveySingular value analysis of deformable systemsUnitary interpolants, factorization indices and infinite Hankel Block matricesApproximation of linear operators in the 2-normThe truncated Hamburger matrix moment problems in the nondegenerate and degenerate cases, and matrix continued fractionsCanonical correlations of past inputs and future outputs for linear stochastic systemsAn \({\mathcal H}^{\infty}\)-minimax approach to the design of robust control systemsOn the Hankel-norm approximation of linear stochastic systemsA polynomial approach to Hankel norm and balanced approximations\(L^{\infty}\)-compensation with mixed sensitivity as a broadband matching problemA maximum entropy principle for contractive interpolants




This page was built for publication: Infinite Hankel block matrices and related extension problems