Tensor-GMRES Method for Large Systems of Nonlinear Equations

  title={Tensor-GMRES Method for Large Systems of Nonlinear Equations},
  author={Dan Feng and Thomas H. Pulliam},
  journal={SIAM Journal on Optimization},
This paper introduces a tensor-Krylov method, the tensor-GMRES method, for large systems of nonlinear equations. Krylov subspace projection techniques for asymmetric systems of linear equations are coupled with a tensor model formation and solution technique for nonlinear equations. Similar to traditional tensor methods, the new tensor method is shown to have significant computational advantages over the analogous Newton counterpart on a set of nonsingular and singular problems. For example, an… CONTINUE READING
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Publications referenced by this paper.
Showing 1-10 of 33 references

Tensor Methods for Large

  • A. Bouaricha, R. B. Schnabel
  • Sparse Nonlinear Least Squares Problems, Preprint…
  • 1994
Highly Influential
3 Excerpts

Solving Large Sparse Systems of Nonlinear Equations and Nonlinear Least Squares Problems using Tensor Methods on Sequential and Parallel Computers

  • A. Bouaricha
  • Ph.D. thesis, Department of Computer Science…
  • 1992
Highly Influential
4 Excerpts

A collection of nonlinear model problems

  • J. J. Moré
  • Lectures Appl. Math., 26
  • 1990
Highly Influential
4 Excerpts


  • J. E. Dennis
  • and R. B. Schnabel, Numerical Methods for…
  • 1983
Highly Influential
3 Excerpts

Inexact Newton methods

  • R. Dembo, S. C. Eisenstat, T. Steihaug
  • SIAM J. Numer. Anal., 19
  • 1982
Highly Influential
3 Excerpts

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