Tensor-GMRES Method for Large Systems of Nonlinear Equations

@article{Feng1997TensorGMRESMF,
title={Tensor-GMRES Method for Large Systems of Nonlinear Equations},
author={Dan Feng and Thomas H. Pulliam},
journal={SIAM Journal on Optimization},
year={1997},
volume={7},
pages={757-779}
}

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