Publications

26.

A. Frommer, M. Rinelli and M. Schweitzer, "Analysis of stochastic probing methods for estimating the trace of functions of sparse symmetric matrices" , 2023.

DOI: 10.48550/arXiv.2308.07722

25.

M. Schweitzer, "Integral representations for higher-order Frechet derivatives of matrix functions: Quadrature algorithms and new results on the level-2 condition number", Linear Algebra Appl., vol. 656, pp. 247-276, 2023.

DOI: 10.1016/j.laa.2022.10.005

24.

M. A. Botchev, L. A. Knizhnerman and M. Schweitzer, "Krylov subspace residual and restarting for certain second order differential equations", SIAM J. Sci. Comput., pp. S223-S253, 2023.

DOI: 10.1137/22M1503300

23.

A. Frommer, K. Kahl, M. Schweitzer and M. Tsolakis, "Krylov subspace restarting for matrix Laplace transforms", SIAM J. Matrix Anal. Appl., vol. 44, no. 2, pp. 693-717, 2023.

DOI: 10.1137/22M1499674

22.

S. Güttel and M. Schweitzer, "Randomized sketching for Krylov approximations of large-scale matrix functions", SIAM J. Matrix Anal. Appl., vol. 44, pp. 1073-1095, 2023.

DOI: 10.1137/22M1518062

21.

M. Schweitzer, "Sensitivity of matrix function based network communicability measures: Computational methods and a priori bounds", SIAM J. Matrix Anal. Appl., vol. 44, no. 3, pp. 1321-1348, 2023.

DOI: 10.1137/23M1556708

20.

D. Palitta, M. Schweitzer and V. Simoncini, "Sketched and truncated polynomial Krylov methods: Evaluation of matrix functions" , 2023.

DOI: 10.48550/arXiv.2306.06481

19.

D. Palitta, M. Schweitzer and V. Simoncini, "Sketched and truncated polynomial Krylov methods: Matrix Equations" , 2023.

DOI: 10.48550/arXiv.2311.16019

18.

B. Arslan, S. D. Relton and M. Schweitzer, "Structured level-2 condition numbers of matrix functions" , 2023.

DOI: 10.48550/arXiv.2304.14077

17.

K. Lund and M. Schweitzer, "The Frechet derivative of the tensor t-function", Calcolo, vol. 60, 2023.

DOI: 10.1007/s10092-023-00527-3

16.

M. Schweitzer, "Decay bounds for Bernstein functions of Hermitian matrices with applications to the fractional graph Laplacian", Electron. Trans. Numer. Anal., vol. 55, pp. 438-454, 2022.

DOI: 10.1553/etna_vol55s438

15.

B. Beckermann, A. Cortinovis, D. Kressner and M. Schweitzer, "Low-rank updates of matrix functions II: Rational Krylov methods", SIAM J. Numer. Anal., vol. 59, no. 3, pp. 1325-1347, 2021.

DOI: 10.1137/20M1362553

14.

P. Kandolf, A. Koskela, S. D. Relton and M. Schweitzer, "Computing low-rank approximations of the Frechet derivative of a matrix function using Krylov subspace methods", Numer. Linear Algebra Appl., vol. 28, no. 6, pp. e2401, 31, 2021.

DOI: 10.1002/nla.2401

13.

A. Frommer, C. Schimmel and M. Schweitzer, "Analysis of probing techniques for sparse approximation and trace estimation of decaying matrix functions", SIAM J. Matrix Anal. Appl., vol. 42, no. 3, pp. 1290-1318, 2021.

DOI: 10.1137/20M1364461

12.

S. Güttel and M. Schweitzer, "A comparison of limited-memory Krylov methods for Stieltjes functions of Hermitian matrices", SIAM J. Matrix Anal. Appl., vol. 42, no. 1, pp. 83-107, 2021.

DOI: 10.1137/20M1351072

11.

A. Frommer, C. Schimmel and M. Schweitzer, "Bounds for the decay of the entries in inverses and Cauchy-Stieltjes functions of certain sparse, normal matrices", Numer. Linear Algebra Appl., vol. 25, no. 4, pp. e2131, 17, 2018.

DOI: 10.1002/nla.2131

10.

B. Beckermann, D. Kressner and M. Schweitzer, "Low-rank updates of matrix functions", SIAM J. Matrix Anal. Appl., vol. 39, no. 1, pp. 539-565, 2018.

DOI: 10.1137/17M1140108

9.

A. Frommer, C. Schimmel and M. Schweitzer, "Non-Toeplitz decay bounds for inverses of Hermitian positive definite tridiagonal matrices", Electron. Trans. Numer. Anal., vol. 48, pp. 362-372, 2018.

DOI: 10.1553/etna_vol48s362

8.

M. Schweitzer, "A two-sided short-recurrence extended Krylov subspace method for nonsymmetric matrices and its relation to rational moment matching", Numer. Algorithms, vol. 76, no. 1, pp. 1-31, 2017.

DOI: 10.1007/s11075-016-0239-z

7.

A. Frommer, K. Lund, M. Schweitzer and D. B. Szyld, "The Radau-Lanczos method for matrix functions", SIAM J. Matrix Anal. Appl., vol. 38, no. 3, pp. 710-732, 2017.

DOI: 10.1137/16M1072565

6.

M. Schweitzer, "Any finite convergence curve is possible in the initial iterations of restarted FOM", Electron. Trans. Numer. Anal., vol. 45, pp. 133-145, 2016.

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5.

A. Frommer and M. Schweitzer, "Error bounds and estimates for Krylov subspace approximations of Stieltjes matrix functions", BIT, vol. 56, no. 3, pp. 865-892, 2016.

DOI: 10.1007/s10543-015-0596-3

4.

M. Schweitzer, "Monotone convergence of the extended Krylov subspace method for Laplace-Stieltjes functions of Hermitian positive definite matrices", Linear Algebra Appl., vol. 507, pp. 486-498, 2016.

DOI: 10.1016/j.laa.2016.06.041

3.

M. Schweitzer, "Restarting and error estimation in polynomial and extended Krylov subspace methods for the approximation of matrix functions", Bergische Universität Wuppertal, Fakultät für Mathematik und Naturwissenschaften, 2016.

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2.

A. Frommer, S. Güttel and M. Schweitzer, "Convergence of restarted Krylov subspace methods for Stieltjes functions of matrices", SIAM J. Matrix Anal. Appl., vol. 35, no. 4, pp. 1602-1624, 2014.

DOI: 10.1137/140973463

1.

A. Frommer, S. Güttel and M. Schweitzer, "Efficient and stable Arnoldi restarts for matrix functions based on quadrature", SIAM J. Matrix Anal. Appl., vol. 35, no. 2, pp. 661-683, 2014.

DOI: 10.1137/13093491X