Advanced search
Publication Cover
Linear and Multilinear Algebra Volume 50, 2002 - Issue 4
Submit an article Journal homepage
43
Views
15
CrossRef citations to date
0
Altmetric
Original Articles

A Note on the Superoptimal Matrix Algebra Operators

Fabio Di Benedetto Dipartimento di Matematica, Via Dodecaneso 35, Genova, 16146, Italy
&
Stefano Serra Capizzano Dipartimento di Chimica, Fisica e Matematica, Via Valleggio 11, Como, 22100, Italy
Pages 343-372 | Published online: 18 Oct 2010

Citations (15)

Keep up to date with the latest research on this topic with citation updates for this article.

Subscribe to citation updates

Read on this site (1)

Xiao-Qing Jin & Yi-Min Wei. (2007) A short note on singular values of optimal and superoptimal preconditioned matrices. International Journal of Computer Mathematics 84:8, pages 1261-1263.
Read now

Articles from other publishers (14)

Stefano Cipolla, Carmine Di Fiore, Fabio Durastante & Paolo Zellini. (2019) Regularizing properties of a class of matrices including the optimal and the superoptimal preconditioners. Numerical Linear Algebra with Applications 26:2, pages e2225.
Crossref
ZhaoLin Jiang & TingTing Xu. (2015) Norm estimates of ω-circulant operator matrices and isomorphic operators for ω-circulant algebra. Science China Mathematics 59:2, pages 351-366.
Crossref
Zhaolin Jiang, Tingting Xu & Fuliang Lu. (2014) Isomorphic Operators and Functional Equations for the Skew-Circulant Algebra. Abstract and Applied Analysis 2014, pages 1-8.
Crossref
R. Cavoretto, A. De Rossi, M. Donatelli & S. Serra-Capizzano. (2012) Spectral analysis and preconditioning techniques for radial basis function collocation matrices. Numerical Linear Algebra with Applications 19:1, pages 31-52.
Crossref
Jian-Long Chen & Xiao-Qing Jin. (2010) The generalized superoptimal preconditioner. Linear Algebra and its Applications 432:1, pages 203-217.
Crossref
C. Estatico. (2009) Preconditioners for ill‐posed Toeplitz matrices with differentiable generating functions. Numerical Linear Algebra with Applications 16:3, pages 237-257.
Crossref
Claudio Estatico & Stefano Serra-Capizzano. (2008) Superoptimal approximation for unbounded symbols. Linear Algebra and its Applications 428:2-3, pages 564-585.
Crossref
Seak-Weng Vong, Wei Wang & Xiao-Qing Jin. (2008) Convergence analysis of superoptimal PCG algorithm for Toeplitz systems with a Fisher–Hartwig singularity. Linear Algebra and its Applications 428:2-3, pages 535-549.
Crossref
P. Favati, G. Lotti & O. Menchi. (2007) Regularizing Inverse Preconditioners for Symmetric Band Toeplitz Matrices. EURASIP Journal on Advances in Signal Processing 2007:1.
Crossref
Claudio Estatico. (2007) Regularized fast multiple-image deconvolution for LBT. Journal of Computational and Applied Mathematics 198:2, pages 443-459.
Crossref
Che‐Man Cheng, Xiao‐Qing Jin & Yi‐Min Wei. (2005) Stability properties of superoptimal preconditioner from numerical range. Numerical Linear Algebra with Applications 13:7, pages 513-521.
Crossref
Claudio Estatico. (2005) A classification scheme for regularizing preconditioners, with application to Toeplitz systems. Linear Algebra and its Applications 397, pages 107-131.
Crossref
Fabio Di Benedetto, Claudio Estatico & Stefano Serra Capizzano. (2005) Superoptimal Preconditioned Conjugate Gradient Iteration for Image Deblurring. SIAM Journal on Scientific Computing 26:3, pages 1012-1035.
Crossref
M. Bertero, P. Boccacci, A. Custo, C. De Mol & M. Robberto. (2003) A Fourier-based method for the restoration of chopped and nodded images. Astronomy & Astrophysics 406:2, pages 765-772.
Crossref

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.