Vector Orthogonal Polynomials and Least Squares Approximation
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Publication:4842569
DOI10.1137/S0895479893244572zbMath0824.41016MaRDI QIDQ4842569
Marc Van Barel, Adhemar Bultheel
Publication date: 15 August 1995
Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)
Approximation in the complex plane (30E10) Approximation by rational functions (41A20) Numerical interpolation (65D05) Algorithms for approximation of functions (65D15) Orthogonalization in numerical linear algebra (65F25)
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Orthogonal polyanalytic polynomials and normal matrices ⋮ Formal orthogonal polynomials and Hankel/Toeplitz duality ⋮ Backward Error of Polynomial Eigenvalue Problems Solved by Linearization of Lagrange Interpolants ⋮ Data-dependent orthogonal polynomials on generalized circles: a unified approach applied to \(\delta \)-domain identification ⋮ A method to compute recurrence relation coefficients for bivariate orthogonal polynomials by unitary matrix transformations ⋮ Orthogonal basis functions in discrete least-squares rational approximation. ⋮ Eigenvalue computation for unitary rank structured matrices ⋮ Inverse eigenvalue problems for extended Hessenberg and extended tridiagonal matrices ⋮ Unitary rank structured matrices ⋮ Generalizations of orthogonal polynomials ⋮ Orthonormal rational function vectors ⋮ Generation of orthogonal rational functions by procedures for structured matrices ⋮ The advantages of directly identifying continuous-time transfer function models in practical applications
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