mctoolbox

The Matrix Computation Toolbox is a collection of MATLAB M-files containing functions for constructing test matrices, computing matrix factorizations, visualizing matrices, and carrying out direct search optimization. Various other miscellaneous functions are also included. This toolbox supersedes the author’s earlier Test Matrix Toolbox (final release 1995). The toolbox was developed in conjunction with the book Accuracy and Stability of Numerical Algorithms (SIAM, Second edition, August 2002, xxx+680 pp.). That book is the primary documentation for the toolbox: it describes much of the underlying mathematics and many of the algorithms and matrices (it also describes many of the matrices provided by MATLAB’s gallery function).


References in zbMATH (referenced in 1485 articles )

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  1. Al-Mohy, Awad H.; Higham, Nicholas J.; Liu, Xiaobo: Arbitrary precision algorithms for computing the matrix cosine and its Fréchet derivative (2022)
  2. Beccari, Carolina Vittoria; Casciola, Giulio: Stable numerical evaluation of multi-degree B-splines (2022)
  3. Carson, Erin; Lund, Kathryn; Rozložník, Miroslav; Thomas, Stephen: Block Gram-Schmidt algorithms and their stability properties (2022)
  4. Defez, E.; Ibáñez, J.; Peinado, J.; Alonso-Jordá, P.; Alonso, José M.: New Hermite series expansion for computing the matrix hyperbolic cosine (2022)
  5. Gosea, Ion Victor; Gugercin, Serkan; Beattie, Christopher: Data-driven balancing of linear dynamical systems (2022)
  6. Horning, Andrew; Nakatsukasa, Yuji: Twice is enough for dangerous eigenvalues (2022)
  7. Huhtanen, Marko; Uusitalo, Pauliina: Optimal orthogonalization processes (2022)
  8. Kelley, C. T.: Newton’s method in mixed precision (2022)
  9. Lei, Xiaojun; Gu, Tongxiang; Graillat, Stef; Jiang, Hao; Qi, Jin: A fast parallel high-precision summation algorithm based on AccSumK (2022)
  10. Li, Dongping; Yang, Siyu; Lan, Jiamei: Efficient and accurate computation for the (\varphi)-functions arising from exponential integrators (2022)
  11. Lv, Peng; Zheng, Bing: Perturbation analysis for the (QX) factorization for centrosymmetric matrices (2022)
  12. Petkov, Petko H.; Konstantinov, Mihail M.: The numerical Jordan form (2022)
  13. Beccari, Carolina Vittoria; Casciola, Giulio: Matrix representations for multi-degree B-splines (2021)
  14. Bénéteau, Catherine; Manolaki, Myrto; Seco, Daniel: Boundary behavior of optimal polynomial approximants (2021)
  15. Bialecki, Bernard; Dryja, Maksymilian; Fernandes, Ryan I.: Convergence analysis of the finite difference ADI scheme for the heat equation on a convex set (2021)
  16. Bojanczyk, Adam W.: Algorithms for indefinite linear least squares problems (2021)
  17. Bosner, Nela: Parallel reduction of four matrices to condensed form for a generalized matrix eigenvalue algorithm (2021)
  18. Bosner, Nela: Parallel Prony’s method with multivariate matrix pencil approach and its numerical aspects (2021)
  19. Breiding, Paul; Vannieuwenhoven, Nick: The condition number of Riemannian approximation problems (2021)
  20. Bujanovic, Zvonimir; Kressner, Daniel: Norm and trace estimation with random rank-one vectors (2021)

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