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 1440 articles )

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  1. Beccari, Carolina Vittoria; Casciola, Giulio: Matrix representations for multi-degree B-splines (2021)
  2. Bojanczyk, Adam W.: Algorithms for indefinite linear least squares problems (2021)
  3. Bosner, Nela: Parallel Prony’s method with multivariate matrix pencil approach and its numerical aspects (2021)
  4. Bosner, Nela: Parallel reduction of four matrices to condensed form for a generalized matrix eigenvalue algorithm (2021)
  5. Breiding, Paul; Vannieuwenhoven, Nick: The condition number of Riemannian approximation problems (2021)
  6. Bujanovic, Zvonimir; Kressner, Daniel: Norm and trace estimation with random rank-one vectors (2021)
  7. Connolly, Michael P.; Higham, Nicholas J.; Mary, Theo: Stochastic rounding and its probabilistic backward error analysis (2021)
  8. Dell’Accio, Francesco; Di Tommaso, Filomena; Siar, Najoua: On the numerical computation of bivariate Lagrange polynomials (2021)
  9. Emiris, Ioannis Z.; Mantzaflaris, Angelos; Tsigaridas, Elias P.: Multilinear polynomial systems: root isolation and bit complexity (2021)
  10. Fasi, Massimiliano; Higham, Nicholas J.: Matrices with tunable infinity-norm condition number and no need for pivoting in LU factorization (2021)
  11. Fasi, Massimiliano; Higham, Nicholas J.: Generating extreme-scale matrices with specified singular values or condition number (2021)
  12. Faßbender, Heike; Rozložník, Miroslav; Singer, Sanja: Nearly optimal scaling in the SR decomposition (2021)
  13. Ferjančič, Karla; Knez, Marjeta; Vitrih, Vito: On (\mathcalC^2) rational motions of degree six (2021)
  14. Giesbrecht, Mark; Haraldson, Joseph; Labahn, George: Computing nearby non-trivial Smith forms (2021)
  15. Gurieva, Y. L.; Il’in, V. P.: Conjugate direction methods for multiple solution of slaes (2021)
  16. Habermann, Karen: An explicit formula for the inverse of a factorial Hankel matrix (2021)
  17. Hashemi, Behnam: Sufficient conditions for the solvability of a Sylvester-like absolute value matrix equation (2021)
  18. Higham, Desmond J.; Higham, Nicholas J.; Pranesh, Srikara: Random matrices generating large growth in LU factorization with pivoting (2021)
  19. Higham, Nicholas J.; Pranesh, Srikara: Exploiting lower precision arithmetic in solving symmetric positive definite linear systems and least squares problems (2021)
  20. Hrycak, Tomasz; Schmutzhard, Sebastian: Error bounds for the numerical evaluation of Legendre polynomials by a three-term recurrence (2021)

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