Krylov-Newton Algorithm

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This command is used to construct a KrylovNewton algorithm object which uses a Krylov subspace accelerator to accelerate the convergence of the modified newton method. The command is of the following form:

algorithm KrylovNewton <-iterate $tangIter> <-increment $tangIncr> <-maxDim $maxDim>

$tangIter	tangent to iterate on, options are current, initial, noTangent. default is current.
$tangIncr	tangent to increment on, options are current, initial, noTangent. default is current
$maxDim	max number of iterations until the tangent is reformed and the acceleration restarts (default = 3).

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NOTES:

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REFERENCES:

Scott, M.H. and G.L. Fenves. "A Krylov Subspace Accelerated Newton Algorithm: Application to Dynamic Progressive Collapse Simulation of Frames." Journal of Structural Engineering, 136(5), May 2010. DOI

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Code Developed by: Michael Scott, Oregon State University