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Dr. Kirk Soodhalter

Ussher Assistant Professor (Pure & Applied Mathematics)
18 WESTLAND ROW
      
Profile Photo

Dr. Kirk Soodhalter

Ussher Assistant Professor (Pure & Applied Mathematics)
18 WESTLAND ROW


  Applied Linear Algebra   ill-posed problems   image reconstruction   NUMERICAL ANALYSIS   numerical linear algebra
Project Title
 Life in the Currents
From
To
Summary
Funding Agency
TCD
Programme
Kinsella Challenge-based Project Award
Project Type
Multidisciplinary Collaboration
Project Title
 Krylov subspace methods for non- symmetric PDE problems: a deeper understanding and faster convergence
From
To
Summary
Funding Agency
SFI/Research Ireland
Programme
EPSRC-SFI
Project Title
 Life in the Currents
From
To
Summary
Funding Agency
Trinity College Dublin
Programme
Prendergast Award
Project Type
Collaborative Interdisciplinary Project

Details Date
Student talk judge, Galway student chapter conference December 2017
Gene Golub SIAM Summer School Committee Member - Evaluating Proposals for yearly summer school locations and topics 1/2023 to 12/2026
Vice President: SIAM UK and Ireland Section April 2021 to April 2023
Special Issue Editor - Linear Algebra and Its Applications 2025
External Examiner for PhD Thesis of Minhui Zhou, Strathclyde University (Scotland) June 2025
Program Director - SIAM Applied Linear Algebra Activity Group 2025-2027
Language Skill Reading Skill Writing Skill Speaking
English Fluent Fluent Fluent
German Fluent Fluent Fluent
Spanish Basic Basic Basic
Details Date From Date To
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 February 2023
Irish Mathematical Society (TCD Representative) February 2020 Present
SIAM UK and Ireland Section (Vice President from April 2021 to April 2023) September 2017 Present
International Linear Algebra Society April 2022 Present
Soodhalter, Kirk M., Admissible convergence behavior and mirroring of stagnation in restarted (block) GMRES, Numerical Algorithms, 2026, Journal Article, PUBLISHED  DOI  URL
Gerth, Daniel and Soodhalter, Kirk M., Hybrid CG-Tikhonov is a filtration of the CG Lanczos vectors, Inverse Problems, 42, (4), 2026, Journal Article, PUBLISHED  DOI  URL
Michael L. Parks, Kirk M. Soodhalter, Daniel B. Szyld, A block Recycled GMRES method with investigations into aspects of solver performance, CALCOLO, 2026, Notes: [https://arxiv.org/abs/1604.01713], Journal Article, IN_PRESS  DOI  URL
Burke, Liam and Güttel, Stefan and Soodhalter, Kirk M., GMRES with randomized sketching and deflated restarting, SIAM Journal on Matrix Analysis and Applications, 46, (1), 2025, p702 - 725, p702-725 , Notes: [Currently revising for SIAM Journal on Scientific Computing], Journal Article, PUBLISHED  DOI  URL
Correnty, Siobhán and Freitag, Melina A. and Soodhalter, Kirk M., Chebyshev HOPGD with sparse grid sampling for parameterized linear systems, Calcolo, 62, (28), 2025, Journal Article, PUBLISHED  DOI  URL
Kirk M. Soodhalter, Simon Wilson, Dung Pham, Fast solution of Sylvester-structured systems for spatial source separation of the Cosmic Microwave Background, Numerical Linear Algebra with Applications, 32, (1), 2025, Journal Article, PUBLISHED  DOI  URL
Sudipta Lal Basu, Kirk M. Soodhalter, Breiffni Fitzgerald, Biswajit Basu, An iterative method for solving sparse linear algebraic systems with continuum solution dependent right-hand side for elliptic partial differential equations, Partial Differential Equations in Applied Mathematics, 2025, Journal Article, PUBLISHED  TARA - Full Text  DOI
Vacek, Petr and Carson, Erin and Soodhalter, Kirk M., The effect of approximate coarsest-level solves on the convergence of multigrid V-cycle methods, SIAM Journal on Scientific Computing, 2024, Journal Article, IN_PRESS  DOI  URL
Vacek, Petr and Carson, Erin and Soodhalter, Kirk M., 'Code and data for reproducing results in P. Vacek, E. C. Carson and K. M. Soodhalter, The Effect of Approximate Coarsest-Level Solves on the Convergence of Multigrid V-Cycle Methods', Zenodo, 2024, -, Software, PUBLISHED  DOI  URL
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, Notes: [Accepted for Publication], Journal Article, IN_PRESS  DOI  URL
  

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Byrne, Adam and Kirby, William and Soodhalter, Kirk M. and Zhuk, Sergiy, The quantum super-Krylov method, arXiv Preprint, 2026, Journal Article, SUBMITTED
Liam Burke, Kirk M. Soodhalter, Augmented unprojected Krylov subspace methods from an alternative view of an existing framework, ArXiv e-prints, 2022, Journal Article, SUBMITTED
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, -, Software, PUBLISHED
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, -, Software, PUBLISHED
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, -, Software, PUBLISHED
Kirk M. Soodhalter, An analysis of the Landen transformation, Tulane University, 2004, Thesis, PUBLISHED