smt

smt: A Matlab toolbox for structured matrices. The full exploitation of the structure of large scale algebraic problems is often crucial for their numerical solution. Matlab is a computational environment which supports sparse matrices, besides full ones, and allows one to add new types of variables (classes) and define the action of arithmetic operators and functions on them. The smt toolbox for Matlab introduces two new classes for circulant and Toeplitz matrices, and implements optimized storage and fast computational routines for them, transparently to the user. The toolbox, available in Netlib, is intended to be easily extensible, and provides a collection of test matrices and a function to compute three circulant preconditioners, to speed up iterative methods for linear systems. Moreover, it incorporates a simple device to add to the toolbox new routines for solving Toeplitz linear systems. (netlib numeralgo na30)


References in zbMATH (referenced in 12 articles )

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  1. Kressner, Daniel; Luce, Robert: Fast computation of the matrix exponential for a Toeplitz matrix (2018)
  2. Anna Concas, Caterina Fenu, Giuseppe Rodriguez: PQSER: A Matlab package for spectral seriation (2017) arXiv
  3. Dykes, L.; Noschese, S.; Reichel, L.: Circulant preconditioners for discrete ill-posed Toeplitz systems (2017)
  4. Fenu, Caterina; Reichel, Lothar; Rodriguez, Giuseppe; Sadok, Hassane: GCV for Tikhonov regularization by partial SVD (2017)
  5. Fenu, Caterina; Reichel, Lothar; Rodriguez, Giuseppe: GCV for Tikhonov regularization via global Golub-Kahan decomposition. (2016)
  6. Bellalij, M.; Reichel, L.; Rodriguez, G.; Sadok, H.: Bounding matrix functionals via partial global block Lanczos decomposition (2015)
  7. Hochstenbach, M.E.; Reichel, L.; Rodriguez, G.: Regularization parameter determination for discrete ill-posed problems (2015)
  8. Karasözen, Bülent; Akkoyunlu, Canan; Uzunca, Murat: Model order reduction for nonlinear Schrödinger equation (2015)
  9. Karasözen, Bülent; Şimşek, Görkem: Energy preserving integration of bi-Hamiltonian partial differential equations (2013)
  10. Redivo-Zaglia, Michela; Rodriguez, Giuseppe: smt: A Matlab toolbox for structured matrices (2012)
  11. Noschese, Silvia; Reichel, Lothar: The structured distance to normality of Toeplitz matrices with application to preconditioning. (2011)
  12. Brezinski, C.; Rodriguez, G.; Seatzu, S.: Error estimates for linear systems with applications to regularization (2008)