Goliath

This is the user’s guide to the FORTRAN software package Goliath. Given a large, sparse, possibly rank-deficient, linear system with rational coefficients, Goliath provides the following information based on exact arithmetic: row dependencies, rank of the matrix, basis of the null space, and solution of linear systems.

Keywords for this software

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References in zbMATH (referenced in 11 articles )

Showing results 1 to 11 of 11.
Sorted by year (citations)

  1. Cognola, Guido; Zerbini, Sergio: Homogeneous cosmologies in generalized modified gravity (2008)
  2. Moran, Tal; Segev, Gil: David and Goliath commitments: UC computation for asymmetric parties using tamper-proof hardware (2008)
  3. Setare, M. R.: Evolution of bouncing cosmological models due to the self-gravitational corrections (2008)
  4. Barreto, W.; Rodríguez, B.; Rosales, L.; Serrano, O.: Self-similar and charged radiating spheres: an anisotropic approach (2007)
  5. Carr, B. J.; Coley, A. A.: The similarity hypothesis in general relativity (2005)
  6. Demianski, Marek; Golda, Zdzisław A.; Woszczyna, Andrzej: Evolution of density perturbations in a realistic universe (2005)
  7. Cattani, Carlo; Laserra, Ettore: Intrinsic geometry of Lax equation. (2003)
  8. Grisaru, Marcus T.; Myers, Robert C.; Tafjord, Øyvind: SUSY and Goliath (2000)
  9. Alfeld, Peter: Upper and lower bounds on the dimension of multivariate spline spaces (1996)
  10. Alfeld, Peter; Eyre, David J.: Algorithm 701: Goliath - a software system for the exact analysis of rectangular rank-deficient sparse rational linear systems (1991)
  11. Alfeld, Peter; Eyre, David J.: The exact analysis of sparse rectangular linear systems (1991)