Greedy Algorithms and Rational Approximation in One and Several Variables
From MaRDI portal
Publication:4637340
DOI10.1007/978-3-319-42529-0_2zbMath1388.30063OpenAlexW2554011298MaRDI QIDQ4637340
Tao Qian, Weixiong Mai, Laurent Baratchart
Publication date: 18 April 2018
Published in: Trends in Mathematics (Search for Journal in Brave)
Full work available at URL: https://hal.inria.fr/hal-01421072/file/Baratchart-Mai-Qian.pdf
Functions of hypercomplex variables and generalized variables (30G35) Approximation in the complex plane (30E10) Approximation by rational functions (41A20) Research exposition (monographs, survey articles) pertaining to functions of a complex variable (30-02)
Related Items
Weak pre-orthogonal adaptive Fourier decomposition in Bergman spaces of pseudoconvex domains ⋮ Positive-instantaneous frequency and approximation ⋮ Algorithm of adaptive Fourier decomposition in H2(ℂ+) ⋮ A Theory on Non-Constant Frequency Decompositions and Applications ⋮ Adaptive rational approximation in Bergman space on bounded symmetric domain ⋮ Rational approximation in a class of weighted Hardy spaces ⋮ Adaptive decompositions in monogenic reproducing kernel Hilbert spaces of Paley-Wiener type
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Minimax principle and lower bounds in \(H^2\)-rational approximation
- Support vector machine adapted Tikhonov regularization method to solve Dirichlet problem
- Approximation of monogenic functions by higher order Szegő kernels on the unit ball and half space
- System identification of microwave filters from multiplexers by rational interpolation
- Weighted extremal domains and best rational approximation
- Identification and rational \(L^ 2\) approximation: A gradient algorithm
- \(\mathcal H_2\)-optimal model reduction of MIMO systems
- 2D inverse problems for the Laplacian: a meromorphic approximation approach
- A remark on uniqueness of best rational approximants of degree 1 in \(L^2\) of the circle
- Greedy algorithm and \(m\)-term trigonometric approximation
- A criterion for uniqueness of a critical point in \(H_ 2\) rational approximation
- Critical points and error rank in best \(H_2\) matrix rational approximation of fixed McMillan degree
- Adaptative decomposition: the case of the Drury-Arveson space
- Some remarks on greedy algorithms
- Identification of microwave filters by analytic and rational \(H^{2}\) approximation
- Comparison of adaptive mono-component decompositions
- Nonlinear phase unwinding of functions
- Adaptive Fourier series---a variation of greedy algorithm
- Adaptive orthonormal systems for matrix-valued functions
- Adaptive Fourier decomposition of functions in quaternionic Hardy spaces
- Aveiro method in reproducing kernel Hilbert spaces under complete dictionary
- Intrinsic mono-component decomposition of functions: An advance of Fourier theory
- Asymptotic Uniqueness of Best Rational Approximants to Complex Cauchy Transforms in ${L}^2$ of the Circle
- $\mathcal{H}_2$ Model Reduction for Large-Scale Linear Dynamical Systems
- Existence and Generic Properties of L2 Approximants for Linear Systems
- Matrix RationalH2Approximation: A Gradient Algorithm Based on Schur Analysis
- Optimal approximation by Blaschke forms
- Cyclic AFD algorithm for the best rational approximation
- Rational orthogonal systems are Schauder bases
- Asymptotic uniqueness of best rational approximants of given degree to Markov functions in \({\mathcal L}^2\) of the circle
