Superoptimal approximation for unbounded symbols

Estatico C; Serra-Capizzano S

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Superoptimal approximation for unbounded symbols

机译：无界符号的超最佳逼近

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The superoptimal Frobenius approximation of Toeplitz matrices is considered in connection with the case of unbounded symbols. In particular, we use the superoptimal approximation as preconditioner for the CG method when a Fisher-Hartwig singularity is present in the symbol, with special regard to systems coming from times series and financial applications. A theoretical discussion concerning classical circulant preconditioners and a numerical comparison with the Strang and with the optimal approximations are presented particularly with reference to the presence of noise. (c) 2007 Elsevier Inc. All rights reserved.

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《Linear Algebra and its Applications》 |2008年第3期|共22页
作者
Estatico C; Serra-Capizzano S;
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正文语种 eng
中图分类数理逻辑、数学基础;
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Toeplitz and circulant inatrices; preconditioning; function and matrix approximation; BAND-TOEPLITZ PRECONDITIONERS; MATRIX ALGEBRA OPERATORS; CIRCULANT PRECONDITIONERS; SYSTEMS; INVERSES; SPECTRA;

机译：Toeplitz和循环矩阵;预处理;函数和矩阵逼近;带-TOEPLITZ预处理器;矩阵代数运算符;循环预处理器;系统;逆;光谱;

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1. Superoptimal approximation for unbounded symbols [J] . Estatico C, Serra-Capizzano S Linear Algebra and its Applications . 2008,第2a3期

机译：无界符号的超最佳逼近
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3. Wong–Zakai approximations and attractors for stochastic reaction–diffusion equations on unbounded domains [J] . Xiaohu Wang, Kening Lu, Bixiang Wang Journal of Differential Equations . 2018,第1期

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5. Unbounded-2-bounded: A two-phase approximation for model checking unbounded until properties of probabilistic system. [D] . Jennings, Paul. 2011

机译：Unbounded-2-bounded：两阶段近似，用于模型检查无穷大直到概率系统的性质。
6. The Symbol Grounding Problem Revisited: A Thorough Evaluation of the ANS Mapping Account and the Proposal of an Alternative Account Based on Symbol–Symbol Associations [O] . Bert Reynvoet, Delphine Sasanguie -1

机译：再次探讨符号基础问题：对ANS映射帐户的全面评估以及基于符号-符号关联的替代帐户的建议
7. Superoptimal approximation for unbounded symbols [O] . Estatico, Claudio, Serra-Capizzano, Stefano 2008

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8. Existence of Good and Best Approximations on Unbounded Domains by Exponential Sums in Several Independent Variables. [R] . Kammler, D. W. 1975

机译：几个独立变量中指数和的无界域上的良好和最佳逼近的存在性。

Superoptimal approximation for unbounded symbols

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