NWO Vidi research grant 2013-2018:

    Innovative techniques for large-scale matrix problems

• Ian Zwaan
  Thesis Generalized Krylov methods for large-scale matrix problems, defense June 26, 2017
  
  
• Sarah Gaaf
  Thesis Advanced Lanczos methods for large-scale matrix problems, defense October 16, 2017

Publications so far resulting from the research

M.E. Hochstenbach, Probabilistic upper bounds for the matrix two-norm, J. Sci. Comp. 57 (3), pp. 464-476, 2013
S.W. Gaaf, M.E. Hochstenbach, Probabilistic bounds for the matrix condition number with extended Lanczos bidiagonalization, SIAM J. Sci. Comp. 37(5), pp. S581-S601, 2015
M.E. Hochstenbach, L. Reichel, G. Rodriguez, Regularization parameter determination for discrete ill-posed problems, J. Comp. Appl. Math. 273, pp. 132-149, 2015
M.E. Hochstenbach, A. Muhic, B. Plestenjak, Jacobi-Davidson methods for polynomial two-parameter eigenvalue problems, J. Comp. Appl. Math. 288, pp. 251-263, 2015
B. Plestenjak, C.I. Gheorghiu, M.E. Hochstenbach, Spectral collocation for multiparameter eigenvalue problems arising from separable boundary value problems, J. Comp. Phys. 298, pp. 585-601, 2015
M.E. Hochstenbach, S. Noschese, L. Reichel, Fractional regularization matrices for linear discrete ill-posed problems, J. Engin. Math. 93(1), pp. 113-129, 2015
M.E. Hochstenbach, L. Reichel, X. Yu, A Golub-Kahan-type reduction method for matrix pairs, J. Sci. Comp. 65(2), pp. 767-789, 2015
B. Plestenjak, M.E. Hochstenbach, Roots of bivariate polynomial systems via determinantal representations, SIAM J. Sci. Comp. 38(2), pp. A765-A788, 2016
A. Koskela, E. Jarlebring, M.E. Hochstenbach, Krylov approximation of linear ODEs with polynomial parameterization, SIAM J. Matrix Anal. Appl. 37(2), pp. 518-538, 2016
I.N. Zwaan, M.E. Hochstenbach, Multidirectional subspace expansion for one-parameter and multiparameter Tikhonov regularization, J. Sci. Comp. 70(3), pp. 990-1009, 2017
I.N. Zwaan, M.E. Hochstenbach, Krylov-Schur type restarts for the two-sided Arnoldi method, SIAM J. Matrix Anal. Appl. 38(2), pp. 297-321, 2017
S.W. Gaaf, V. Simoncini, Approximating the leading singular triplets of a large matrix function, Appl. Num. Math. 113, pp. 26-43, 2017
A. Boralevi, J. Draisma, J. van Doornmalen, M.E. Hochstenbach, B. Plestenjak, Universal determinantal representations SIAM J. Appl. Alg. Geom. 1(1), pp. 415-441, 2017
S.W. Gaaf, E. Jarlebring, The infinite bi-Lanczos method for nonlinear eigenvalue problems, SIAM J. Sci. Comp. 39(5), pp. S898–S919, 2017
M.E. Hochstenbach, K. Meerbergen, E. Mengi, B. Plestenjak, Subspace methods for 3-parameter eigenvalue problems (NLAA, to appear)
Y. Dong, M.E. Hochstenbach, P.C. Hansen, N.A.B. Riis, Fixing nonconvergence of algebraic iterative reconstruction with an unmatched backprojector (SISC, to appear)
M.E. Hochstenbach, I.N. Zwaan, Matrix balancing for field of values type inclusion regions (submitted)
M.E. Hochstenbach, C. Mehl, B. Plestenjak, Solving singular generalized eigenvalue problems by a rank-completing perturbation (submitted)
M.E. Hochstenbach, B. Plestenjak, Computing several eigenvalues of nonlinear eigenvalue problems by selection (submitted)

Software

Eigenvalue Tools

Awards

• Ian and Michiel received full board at an Oberwolfach conference, November 2013
• Sarah won a student paper prize ($1,000) at the 2014 Copper Mountain conference
  
• NWO awarded us a visitor's grant (€ 5,500) for the visit of Bor Plestenjak (Ljubljana), March 15-June 15, 2014
• Sarah won the third poster prize (€ 50) at the 2014 Woudschoten conference on Scientific Computing.
• Sarah received an Erasmus grant for her research visit to Valeria Simoncini (Bologna), February-May, 2014
• Ian obtained a SIAM travel grant ($800) for visiting SIAM LA 2015
• Sarah obtained a SIAM travel grant ($800) for visiting SIAM LA 2015
• Sarah obtained a WISE travel grant (€ 500) for visiting SIAM LA 2015
• Sarah won a student paper prize ($1,000) at the 2016 Copper Mountain conference
  
• 4TU AMI awarded us a visitor's grant (€ 1,000) for the visit of Christian Mehl (Berlin), August 16-22, 2017

Visits from colleagues

• Murat Manguoglu (Ankara), February 18-22, 2013
• Lothar Reichel (Kent State), May 13-June 21, 2013
• Per Christian Hansen (DTU), October 29-November 1, 2013
• Bor Plestenjak (Ljubljana), March 15-June 15, 2014
• Antti Koskela (KTH), November 23-December 3, 2014
• Paul Zachlin (Cleveland), October 12-November 13, 2015
• Christian Mehl (Berlin), August 17-22, 2017

Research visits to colleagues

• Michiel to Elias Jarlebring (KTH), July-August 2013
• Sarah to Valeria Simoncini (Bologna), February-May 2014, February 2015, and April 2016
• Sarah to Elias Jarlebring (KTH), March 2015
• Sarah to Daniel Kressner (Lausanne), November 2015
• Michiel to Per Christian Hansen (DTU), November 2015
• Michiel to Bor Plestenjak (Ljubljana), May-June 2016
• Michiel to Bor Plestenjak (Ljubljana), April-May 2017
• Michiel to Theo Tuwankotta (Bandung), February-March 2018
• Michiel to Bor Plestenjak (Ljubljana), March-April 2018

Research presented in talks and posters: