The Matrix Market provides convenient access to a repository of test data for use in comparative studies of algorithms for numerical linear algebra. Matrices as well as matrix generation software and services, from linear systems, least squares, and eigenvalue computations in a wide variety of scientific and engineering disciplines are provided. Tools for browsing through the collection or for searching for matrices with special properties are included. Each matrix (and matrix set) has its own ”home page” which provides details of matrix properties, visualization of matrix structure, and permits downloading of the matrix in one of several text file formats. Similarly, each matrix generator has a home page describing its properties. Generators are either static software which you can download and include in your applications, Java applets which will generate matrices in your Web browser, or form-based requests to generate matrices at the Matrix Market and return them to your browser. Currently, 482 individual matrices and 25 matrix generators are available. Our database now includes the entire Harwell-Boeing Sparse Matrix Collection (Release I), Yousef Saad’s SPARSKIT collection, and the Nonsymmetric Eigenvalue Problem (NEP) collection of Bai, Day, Demmel and Dongarra. The Matrix Market is a component of the NIST project on Tools for Evaluation of Mathematical and Statistical Software which has focus areas in linear algebra, special functions and statistics.

References in zbMATH (referenced in 122 articles )

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  1. Astudillo, R.; de Gier, J. M.; van Gijzen, M. B.: Accelerating the induced dimension reduction method using spectral information (2019)
  2. Bertaccini, Daniele; Durastante, Fabio: Iterative methods and preconditioning for large and sparse linear systems with applications (2018)
  3. Rendl, Fanz; Sotirov, Renata: The MIN-cut and vertex separator problem (2018)
  4. Rostami, Minghao W.; Xue, Fei: Robust linear stability analysis and a new method for computing the action of the matrix exponential (2018)
  5. Schlüter, Federico; Strappa, Yanela; Milone, Diego H.; Bromberg, Facundo: Blankets joint posterior score for learning Markov network structures (2018)
  6. Stanimirović, Ivan: Computation of generalized matrix inverses and applications (2018)
  7. Zhao, Tao: A convergence analysis of the inexact simplified Jacobi-Davidson algorithm for polynomial eigenvalue problems (2018)
  8. Aurentz, Jared L.; Kalantzis, Vassilis; Saad, Yousef: Cucheb: a GPU implementation of the filtered Lanczos procedure (2017)
  9. Bebiano, Natália; da Providência, João; Nata, Ana; da Providência, João P.: Fields of values of linear pencils and spectral inclusion regions (2017)
  10. Dehghan, Mehdi; Mohammadi-Arani, Reza: Generalized product-type methods based on bi-conjugate gradient (GPBiCG) for solving shifted linear systems (2017)
  11. Stachurski, Andrzej: On a conjugate directions method for solving strictly convex QP problem (2017)
  12. Torun, F. Sukru; Manguoglu, Murat; Aykanat, Cevdet: Parallel minimum norm solution of sparse block diagonal column overlapped underdetermined systems (2017)
  13. Di Napoli, Edoardo; Polizzi, Eric; Saad, Yousef: Efficient estimation of eigenvalue counts in an interval. (2016)
  14. Guglielmi, Nicola: On the method by Rostami for computing the real stability radius of large and sparse matrices (2016)
  15. Jessup, Elizabeth; Motter, Pate; Norris, Boyana; Sood, Kanika: Performance-based numerical solver selection in the Lighthouse framework (2016)
  16. Kestyn, James; Polizzi, Eric; Tang, Ping Tak Peter: Feast eigensolver for non-Hermitian problems (2016)
  17. Kostić, Vladimir R.; Międlar, Agnieszka; Cvetković, Ljiljana: An algorithm for computing minimal Geršgorin sets. (2016)
  18. Michailidis, Panagiotis D.; Margaritis, Konstantinos G.: Scientific computations on multi-core systems using different programming frameworks (2016)
  19. Wellin, Paul: Essentials of programming in Mathematica (2016)
  20. Bebiano, N.; da Providência, J.; Nata, A.; da Providência, J. P.: An inverse indefinite numerical range problem (2015)

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