Yale Sparse Matrix Package (YSMP). The Yale sparse matrix package is a collection of routines for solving the n×n system of linear equations Mx=b when the coefficient matrix M is large and sparse. The current release features direct methods based on Gaussian elimination without pivoting, and is described in Section 2. The next release will also include a number of preconditioned conjugate-gradient-like methods as described in Section 3.

References in zbMATH (referenced in 74 articles , 2 standard articles )

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  1. Bollhöfer, Matthias; Schenk, Olaf; Verbosio, Fabio: A high performance level-block approximate LU factorization preconditioner algorithm (2021)
  2. Çuğu, İlke; Manguoğlu, Murat: A parallel multithreaded sparse triangular linear system solver (2020)
  3. Scott, Jennifer; Tuma, Miroslav: Preconditioning of linear least squares by robust incomplete factorization for implicitly held normal equations (2016)
  4. Peretti Pezzi, Guilherme; Vaissié, Evelyne; Viala, Yann; Caromel, Denis; Gourbesville, Philippe: Parallel profiling of water distribution networks using the Clément formula (2015)
  5. Weill, Sylvain; Chiara-Roupert, Raphael di; Ackerer, Philippe: Accuracy and efficiency of time integration methods for 1D diffusive wave equation (2014)
  6. Scott, Jennifer; Tůma, Miroslav: The importance of structure in incomplete factorization preconditioners (2011)
  7. Burke, Edmund K.; Mareček, Jakub; Parkes, Andrew J.; Rudová, Hana: A supernodal formulation of vertex colouring with applications in course timetabling (2010)
  8. Aleman-Meza, Boanerges; Yu, Yihai; Schüttler, Heinz-Bernd; Arnold, Jonathan; Taha, Thiab R.: KINSOLVER: A simulator for computing large ensembles of biochemical and gene regulatory networks (2009)
  9. Sun, Jie; Bollt, Erik M.; ben-Avraham, Daniel: Graph compression -- save information by exploiting redundancy (2008)
  10. Abdulla, T. J.; Cash, J. R.; Diamantakis, M. T.: An MEBDF package for the numerical solution of large sparse systems of stiff initial value problems (2001)
  11. Axelsson, Owe; Kucherov, Andrey: Real valued iterative methods for solving complex symmetric linear systems. (2000)
  12. Lee, Chang-Ock; Lee, Jongwoo; Sheen, Dongwoo; Yeom, Yongjin: A frequency-domain parallel method for the numerical approximation of parabolic problems (1999)
  13. Fasshauer, Gregory E.; Schumaker, Larry L.: Minimal energy surfaces using parametric splines (1996)
  14. Ariel, P. Donald: A new finite difference algorithm for computing the boundary layer flow of viscoelastic fluids in hydromagnetics. (1995)
  15. Huang, Liang Jiao; Li, Tien-Yien: Parallel homotopy algorithm for symmetric large sparse eigenproblems (1995)
  16. Deng, G. B.; Piquet, J.; Queutey, P.; Visonneau, M.: A new fully coupled solution of the Navier-Stokes equations (1994)
  17. Onana, A.; Kwankam, S. Y.; Zoue, E.: A fast Poisson solver (1994)
  18. Setiono, Rudy: Interior dual proximal point algorithm for linear programs (1994)
  19. Simoneau, J.; Pollard, A.: Finite volume methods for laminar and turbulent flows using a penalty function approach (1994)
  20. Bank, Randolph E.; Douglas, Craig C.: Sparse matrix multiplication package (SMMP) (1993)

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