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 1029 articles )

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  1. Coelho, Diego F.G.; Dimitrov, Vassil S.; Rakai, L.: Efficient computation of tridiagonal matrices largest eigenvalue (2018)
  2. Hasegawa, Takemitsu; Sugiura, Hiroshi: Uniform approximation to Cauchy principal value integrals with logarithmic singularity (2018)
  3. Miyajima, Shinya: Fast verified computation for the matrix principal $p$th root (2018)
  4. Zainali, Nahid; Lotfi, Taher: On developing a stable and quadratic convergent method for solving absolute value equation (2018)
  5. Ahmad, Mian Ilyas; Szyld, Daniel B.; van Gijzen, Martin B.: Preconditioned multishift BiCG for $\mathcalH_2$-optimal model reduction (2017)
  6. Akaiwa, Kanae; Nakamura, Yoshimasa; Iwasaki, Masashi; Yoshida, Akira; Kondo, Koichi: An arbitrary band structure construction of totally nonnegative matrices with prescribed eigenvalues (2017)
  7. Brezinski, Claude; Redivo-Zaglia, Michela: The simplified topological $\varepsilon$-algorithms: software and applications (2017)
  8. de Camargo, André Pierro; Mascarenhas, Walter F.: The stability of extended Floater-Hormann interpolants (2017)
  9. Diao, Huai-An; Wei, Yimin; Xie, Pengpeng: Small sample statistical condition estimation for the total least squares problem (2017)
  10. Dmytryshyn, Andrii; Dopico, Froilán M.: Generic complete eigenstructures for sets of matrix polynomials with bounded rank and degree (2017)
  11. Fischer, Thomas M.: On the algorithm by Al-Mohy and Higham for computing the action of the matrix exponential: a posteriori roundoff error estimation (2017)
  12. Jeannerod, Claude-Pierre; Kornerup, Peter; Louvet, Nicolas; Muller, Jean-Michel: Error bounds on complex floating-point multiplication with an FMA (2017)
  13. Kehlet, Benjamin; Logg, Anders: A posteriori error analysis of round-off errors in the numerical solution of ordinary differential equations (2017)
  14. Kojima, Hiroki; Matsuo, Takayasu; Furihata, Daisuke: Some discrete inequalities for central-difference type operators (2017)
  15. Mascarenhas, Walter F.; de Camargo, André Pierro: The effects of rounding errors in the nodes on barycentric interpolation (2017)
  16. Ma, Wei: On normwise structured backward errors for the generalized saddle point systems (2017)
  17. Saibaba, Arvind K.; Alexanderian, Alen; Ipsen, Ilse C.F.: Randomized matrix-free trace and log-determinant estimators (2017)
  18. Vannieuwenhoven, Nick: Condition numbers for the tensor rank decomposition (2017)
  19. Zemke, Jens-Peter M.: Variants of IDR with partial orthonormalization (2017)
  20. Adam, Stavros P.; Magoulas, George D.; Karras, Dimitrios A.; Vrahatis, Michael N.: Bounding the search space for global optimization of neural networks learning error: an interval analysis approach (2016)

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