Dr. Kirk Soodhalter
Ussher Assistant Professor, Pure & Applied Mathematics
Publications and Further Research Outputs
Peer-Reviewed Publications
Fabian Hinterer, Simon Hubmer, Prashin Jethwa, Kirk M. Soodhalter, Glenn van de Ven, Ronny Ramlau, A projected Nesterov-Kaczmarz approach to stellar population-kinematic distribution reconstruction in Extragalactic Archaeology, SIAM J. Imaging Sci., 2023
Sudipta Lal Basu, Kirk Soodhalter, Breiffni Fitzgerald, and Biswajit Basu, Flow in a large wind field with multiple actuators in the presence of constant vorticity, Physics of Fluids, 2022
Siobhán Correnty, Elias Jarlebring, Kirk M. Soodhalter, Preconditioned infinite GMRES for parameterized linear systems, ArXiv e-prints, 2022
Conor Brennan, Imtaz Islam, Jason Basquill, Kirk M. Soodhalter, Computation of scattering from rough surfaces using successive symmetric over relaxation and eigenvalue deflation, 16th European Conference on Antennas and Propagation, Madrid, March 2022, IEEE, 2022, pp1 - 5
Ronny Ramlau, Kirk M. Soodhalter, Victoria Hutterer, Subspace Recycling-based Regularization Methods, SIAM Journal on Matrix Analysis and Applications, 4, 2021, p1480 - 1505
Laura Dykes and Ronny Ramlau and Lothar Reichel and Kirk M. Soodhalter and Roland Wagner, Lanczos-based fast blind deconvolution methods, Journal of Computational and Applied Mathematics, 382, 2021, p113067
Soodhalter, Kirk M. and de Sturler, Eric and Kilmer, Misha E., A survey of subspace recycling iterative methods, GAMM-Mitteilungen, 43, (4), 2020, pe202000016
Kubínová, Marie and Soodhalter, Kirk M., Admissible and Attainable Convergence Behavior of Block Arnoldi and GMRES, SIAM Journal on Matrix Analysis and Applications, 41, (2), 2020, p464-486
Barabasz, Barbara and Anderson, Andrew and Soodhalter, Kirk M. and Gregg, David, Error Analysis and Improving the Accuracy of Winograd Convolution for Deep Neural Networks, ACM Trans. Math. Softw., 46, (4), 2020, p33
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
Liam Burke, Kirk M. Soodhalter, Augmented unprojected Krylov subspace methods from an alternative view of an existing framework, ArXiv e-prints, 2022
Michael L. Parks, Kirk M. Soodhalter, Daniel B. Szyld, A block Recycled GMRES method with investigations into aspects of solver performance, arXiv:1604.01713, arXiv.org, 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, -
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, '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, -
Kirk M. Soodhalter, An analysis of the Landen transformation, Tulane University, 2004
Research Expertise
Recognition
Representations
Student talk judge, Galway student chapter conference
Vice President: SIAM UK and Ireland Section
Gene Golub SIAM Summer School Committee Member - Evaluating Proposals for yearly summer school locations and topics
Memberships
Society for Industrial and Applied Mathematics (SIAM)
Gesellschaft für angewandte Mathematik und Mechanik (International Association of Applied Mathematics and Mechanics)
Irish Mathematical Society (TCD Representative)
SIAM UK and Ireland Section (Vice President from April 2021 to April 2023)
International Linear Algebra Society