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LinBox Founding Scope Allocation, Parallel Building Blocks, and Separate Compilation

  • Jean-Guillaume Dumas
  • Thierry Gautier
  • Clément Pernet
  • B. David Saunders
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6327)

Abstract

As a building block for a wide range of applications, computational exact linear algebra has to conciliate efficiency and genericity. The goal of the LinBox project is to address this problem in the design of an efficient general-purpose C++ opensource library for exact linear algebra over the integers, the rationals, and finite fields. Matrices can be either dense, sparse or black box (i.e. viewed as a linear operator, acting on vectors only). The library proposes a set of high level linear algebra solutions, such as the rank, the determinant, the solution of a linear system, the Smith normal form, the echelon form, the characteristic polynomial, etc.

Keywords

Computer Algebra System Compilation Time Compilation Model Reference Counting Smith Normal Form 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  • Jean-Guillaume Dumas
    • 1
  • Thierry Gautier
    • 2
  • Clément Pernet
    • 2
  • B. David Saunders
    • 3
  1. 1.Laboratoire J. KuntzmannUniversité de GrenobleGrenobleFrance
  2. 2.Laboratoire LIGUniversité de Grenoble et INRIA. umr CNRSMontbonnotFrance
  3. 3.Computer and Information Science DepartmentUniversity of DelawareNewarkUSA

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