Kirk Soodhalter
Ussher Assistant Professor, Pure & Applied Mathematics
Publications and Further Research Outputs
Peer-Reviewed Publications
L. Dykes, R. Ramlau, L. Reichel, K. M. Soodhalter, and R. Wagner, Lanczos-based fast blind deconvolution methods, Journal of Computational and Applied Mathematics, 2018
Herzog, Roland and Soodhalter, Kirk M., A modified implementation of MINRES, SIAM J. Sci. Comput., 39, (6), 2017, pA2645--A2663
Soodhalter, Kirk M., Stagnation of block GMRES, Electron. Trans. Numer. Anal., 46, (3661664), 2017, p162--189
Niebsch, Jenny and Ramlau, Ronny and Soodhalter, Kirk M., Solution of coupled differential equations arising from imbalance problems, Electron. Trans. Numer. Anal., 46, (3634414), 2017, p89--106
Soodhalter, Kirk M., Block Krylov Subspace Recycling for Shifted Systems with Unrelated Right-Hand Sides, SIAM J. Sci. Comput., 38, (1), 2016, pA302--A324
Soodhalter, Kirk M., Two recursive GMRES-type methods for shifted linear systems with general preconditioning, Electron. Trans. Numer. Anal., 45, (3582897), 2016, p499--523
Soodhalter, Kirk M., A block MINRES algorithm based on the banded Lanczos method, Numer. Algorithms, 69, (3), 2015, p473--494
Soodhalter, Kirk M. and Szyld, Daniel B. and Xue, Fei, Krylov subspace recycling for sequences of shifted linear systems, Appl. Numer. Math., 81, (3212178), 2014, p105--118
Soodhalter, Kirk McLane, Krylov subspace methods with fixed memory requirements: Nearly Hermitian linear systems and subspace recycling, Temple University, Philadelphia, 2012
Embree, Mark and Sifuentes, Josef A. and Soodhalter, Kirk M. and Szyld, Daniel B. and Xue, Fei, Short-Term Recurrence Krylov Subspace Methods for Nearly Hermitian Matrices, SIAM J. Matrix Anal. Appl., 33, (2), 2012, p480--500
Moll, Victor H. and Robins, Sinai and Soodhalter, Kirk, The action of Hecke operators on hypergeometric functions, J. Aust. Math. Soc., 89, (1), 2010, p51--74
Non-Peer-Reviewed Publications
Michael L. Parks, Kirk M. Soodhalter, Daniel B. Szyld, A block Recycled GMRES method with investigations into aspects of solver performance, 2017
Michael L. Parks and Kirk M. Soodhalter, 'Block GCRO-DR: A version of the recycled GMRES method using block Krylov subspaces and harmonic Ritz vectors', https://zenodo.org/record/48836, Zenodo, 2016, -
Kirk M. Soodhalter, 'Shift Block Recycled GMRES: A Sylvester equation based minimum residual Krylov subspace method for solving multiple shifted systems', https://zenodo.org/record/56157, Zenodo, 2016, -
Roland Herzog and Kirk M. Soodhalter, 'SUBMINRES. A modified implementation of MINRES to monitor residual subvector norms for block systems ', https://zenodo.org/record/47393, Zenodo, 2016, -
Kirk M. Soodhalter, An analysis of the Landen transformation, Tulane University, 2004
Research Expertise
Recognition
Memberships
Society for Industrial and Applied Mathematics
Gesellschaft für angewandte Mathematik und Mechanik (International Association of Applied Mathematics and Mechanics)