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 1105 articles )

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  1. Coelho, Diego F.G.; Dimitrov, Vassil S.; Rakai, L.: Efficient computation of tridiagonal matrices largest eigenvalue (2018)
  2. Dmytryshyn, Andrii; Dopico, Froilán M.: Generic skew-symmetric matrix polynomials with fixed rank and fixed odd grade (2018)
  3. Gu, Xian-Ming; Huang, Ting-Zhu; Yin, Guojian; Carpentieri, Bruno; Wen, Chun; Du, Lei: Restarted Hessenberg method for solving shifted nonsymmetric linear systems (2018)
  4. Hasegawa, Takemitsu; Sugiura, Hiroshi: Uniform approximation to Cauchy principal value integrals with logarithmic singularity (2018)
  5. Li, Hanyu; Wang, Shaoxin: On the partial condition numbers for the indefinite least squares problem (2018)
  6. Miyajima, Shinya: Fast verified computation for the matrix principal $p$th root (2018)
  7. Oozawa, Masaya; Sogabe, Tomohiro; Miyatake, Yuto; Zhang, Shao-Liang: On a relationship between the $\operatornameT$-congruence Sylvester equation and the Lyapunov equation (2018)
  8. Stanimirović, Predrag S.; Srivastava, Shwetabh; Gupta, D.K.: From Zhang neural network to scaled hyperpower iterations (2018)
  9. Zainali, Nahid; Lotfi, Taher: On developing a stable and quadratic convergent method for solving absolute value equation (2018)
  10. Abderramán Marrero, J.; Tomeo, V.: A fast and reliable numerical solver for general bordered $k$-tridiagonal matrix linear equations (2017)
  11. Ahmad, Mian Ilyas; Szyld, Daniel B.; van Gijzen, Martin B.: Preconditioned multishift BiCG for $\mathcalH_2$-optimal model reduction (2017)
  12. Akaiwa, Kanae; Nakamura, Yoshimasa; Iwasaki, Masashi; Yoshida, Akira; Kondo, Koichi: An arbitrary band structure construction of totally nonnegative matrices with prescribed eigenvalues (2017)
  13. Alonso, P.; Peña, J.M.; Serrano, M.L.: Backward stability with almost strictly sign regular matrices (2017)
  14. Berriochoa, E.; Cachafeiro, A.; Amor, J.M.García: An interpolation problem on the circle between Lagrange and Hermite problems (2017)
  15. Brezinski, Claude; Redivo-Zaglia, Michela: The simplified topological $\varepsilon$-algorithms: software and applications (2017)
  16. Butcher, John C.; D’Ambrosio, Raffaele: Partitioned general linear methods for separable Hamiltonian problems (2017)
  17. Compagnoni, Marco; Notari, Roberto; Antonacci, Fabio; Sarti, Augusto: On the statistical model of source localization based on range difference measurements (2017)
  18. de Camargo, André Pierro; Mascarenhas, Walter F.: The stability of extended Floater-Hormann interpolants (2017)
  19. Diao, Huai-An: On condition numbers for least squares with quadric inequality constraint (2017)
  20. Diao, Huai-An; Wei, Yimin; Xie, Pengpeng: Small sample statistical condition estimation for the total least squares problem (2017)

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