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Dr. Kirk Soodhalter
Ussher Assistant Professor, Pure & Applied Mathematics

Publications and Further Research Outputs

Peer-Reviewed Publications

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 Journal Article, 2021 DOI

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 Journal Article, 2020 DOI

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 Journal Article, 2020 DOI

Soodhalter, Kirk M. and de Sturler, Eric and Kilmer, Misha E., A survey of subspace recycling iterative methods, GAMM-Mitteilungen, 43, (4), 2020, pe202000016 Journal Article, 2020 DOI

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 Journal Article, 2017 URL

Soodhalter, Kirk M., Stagnation of block GMRES, Electron. Trans. Numer. Anal., 46, (3661664), 2017, p162--189 Journal Article, 2017 URL

Herzog, Roland and Soodhalter, Kirk M., A modified implementation of MINRES, SIAM J. Sci. Comput., 39, (6), 2017, pA2645--A2663 Journal Article, 2017 DOI

Soodhalter, Kirk M., Block Krylov Subspace Recycling for Shifted Systems with Unrelated Right-Hand Sides, SIAM J. Sci. Comput., 38, (1), 2016, pA302--A324 Journal Article, 2016 DOI

Soodhalter, Kirk M., Two recursive GMRES-type methods for shifted linear systems with general preconditioning, Electron. Trans. Numer. Anal., 45, (3582897), 2016, p499--523 Journal Article, 2016 URL

Soodhalter, Kirk M., A block MINRES algorithm based on the banded Lanczos method, Numer. Algorithms, 69, (3), 2015, p473--494 Journal Article, 2015 DOI

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 Journal Article, 2014 DOI

Soodhalter, Kirk McLane, Krylov subspace methods with fixed memory requirements: Nearly Hermitian linear systems and subspace recycling, Temple University, Philadelphia, 2012 Thesis, 2012 Other

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 Journal Article, 2012 DOI

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 Journal Article, 2010 DOI

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, arXiv:1604.01713,, 2017 Report, 2017 URL

Kirk M. Soodhalter, 'Shift Block Recycled GMRES: A Sylvester equation based minimum residual Krylov subspace method for solving multiple shifted systems',, Zenodo, 2016, - Software, 2016 DOI

Roland Herzog and Kirk M. Soodhalter, 'SUBMINRES. A modified implementation of MINRES to monitor residual subvector norms for block systems ',, Zenodo, 2016, - Software, 2016 DOI

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',, Zenodo, 2016, - Software, 2016 DOI

Kirk M. Soodhalter, An analysis of the Landen transformation, Tulane University, 2004 Thesis, 2004 URL

Research Expertise


  • Title
    • Life in the Currents
  • Funding Agency
    • TCD


ill-posed problems; image reconstruction; NUMERICAL ANALYSIS; numerical linear algebra



Society for Industrial and Applied Mathematics (SIAM) May 2011 – Present

Gesellschaft für angewandte Mathematik und Mechanik (International Association of Applied Mathematics and Mechanics) February 2017 – Present

Irish Mathematical Society (TCD Representative) February 2020 – Present

SIAM UK and Ireland Section (Vice President) April 2021 – April 2023