Frommer, Andreas; Ramirez-Hidalgo, Gustavo; Schweitzer, Marcel; Tsolakis, Manuel Polynomial Preconditioning for the Action of the Matrix Square Root and Inverse Square Root. arXiv:2401.06684 Preprint, arXiv:2401.06684 [math.NA] (2024). MSC: 65F60 65F08 65F50 15A16 BibTeX Cite \textit{A. Frommer} et al., ``Polynomial Preconditioning for the Action of the Matrix Square Root and Inverse Square Root'', Preprint, arXiv:2401.06684 [math.NA] (2024) Full Text: arXiv OA License
Diab, Malak; Frommer, Andreas; Kahl, Karsten A flexible short recurrence Krylov subspace method for matrices arising in the time integration of port-Hamiltonian systems and ODEs/DAEs with a dissipative Hamiltonian. (English) Zbl 07782833 BIT 63, No. 4, Paper No. 57, 21 p. (2023). MSC: 65F08 65F10 65L04 65L80 PDFBibTeX XMLCite \textit{M. Diab} et al., BIT 63, No. 4, Paper No. 57, 21 p. (2023; Zbl 07782833) Full Text: DOI arXiv OA License
Espinoza-Valverde, Jesus; Frommer, Andreas; Ramirez-Hidalgo, Gustavo; Rottmann, Matthias Coarsest-level improvements in multigrid for lattice QCD on large-scale computers. (English) Zbl 07740241 Comput. Phys. Commun. 292, Article ID 108869, 12 p. (2023). MSC: 82-XX 65-XX PDFBibTeX XMLCite \textit{J. Espinoza-Valverde} et al., Comput. Phys. Commun. 292, Article ID 108869, 12 p. (2023; Zbl 07740241) Full Text: DOI arXiv
Frommer, A.; Kahl, K.; Schweitzer, M.; Tsolakis, M. Krylov subspace restarting for matrix Laplace transforms. (English) Zbl 1515.65103 SIAM J. Matrix Anal. Appl. 44, No. 2, 693-717 (2023). MSC: 65F60 65F50 44A10 65D30 65D07 PDFBibTeX XMLCite \textit{A. Frommer} et al., SIAM J. Matrix Anal. Appl. 44, No. 2, 693--717 (2023; Zbl 1515.65103) Full Text: DOI arXiv
Frommer, Andreas; Szyld, Daniel B. On the convergence of randomized and greedy relaxation schemes for solving nonsingular linear systems of equations. (English) Zbl 1506.65055 Numer. Algorithms 92, No. 1, 639-664 (2023). MSC: 65F10 15A06 PDFBibTeX XMLCite \textit{A. Frommer} and \textit{D. B. Szyld}, Numer. Algorithms 92, No. 1, 639--664 (2023; Zbl 1506.65055) Full Text: DOI arXiv
Bartel, Andreas; Diab, Malak; Frommer, Andreas; Günther, Michael Operator splitting for semi-explicit differential-algebraic equations and port-Hamiltonian DAEs. arXiv:2308.16736 Preprint, arXiv:2308.16736 [math.DS] (2023). BibTeX Cite \textit{A. Bartel} et al., ``Operator splitting for semi-explicit differential-algebraic equations and port-Hamiltonian DAEs'', Preprint, arXiv:2308.16736 [math.DS] (2023) Full Text: arXiv OA License
Frommer, Andreas; Rinelli, Michele; Schweitzer, Marcel Analysis of stochastic probing methods for estimating the trace of functions of sparse symmetric matrices. arXiv:2308.07722 Preprint, arXiv:2308.07722 [math.NA] (2023). BibTeX Cite \textit{A. Frommer} et al., ``Analysis of stochastic probing methods for estimating the trace of functions of sparse symmetric matrices'', Preprint, arXiv:2308.07722 [math.NA] (2023) Full Text: arXiv OA License
Frommer, Andreas; Günther, Michael; Liljegren-Sailer, Björn; Marheineke, Nicole Operator splitting for port-Hamiltonian systems. arXiv:2304.01766 Preprint, arXiv:2304.01766 [math.NA] (2023). MSC: 65F10 65F60 65L05 65P10 BibTeX Cite \textit{A. Frommer} et al., ``Operator splitting for port-Hamiltonian systems'', Preprint, arXiv:2304.01766 [math.NA] (2023) Full Text: arXiv OA License
Frommer, Andreas; Khalil, Mostafa Nasr; Ramirez-Hidalgo, Gustavo A multilevel approach to variance reduction in the stochastic estimation of the trace of a matrix. (English) Zbl 1507.65088 SIAM J. Sci. Comput. 44, No. 4, A2536-A2556 (2022). Reviewer: Jaromír Antoch (Praha) MSC: 65F60 65C05 15A15 PDFBibTeX XMLCite \textit{A. Frommer} et al., SIAM J. Sci. Comput. 44, No. 4, A2536--A2556 (2022; Zbl 1507.65088) Full Text: DOI arXiv
Frommer, Andreas; Ramirez-Hidalgo, Gustavo Deflated Multigrid Multilevel Monte Carlo. arXiv:2211.15383 Preprint, arXiv:2211.15383 [hep-lat] (2022). BibTeX Cite \textit{A. Frommer} and \textit{G. Ramirez-Hidalgo}, ``Deflated Multigrid Multilevel Monte Carlo'', Preprint, arXiv:2211.15383 [hep-lat] (2022) Full Text: arXiv OA License
Burke, Liam; Frommer, Andreas; Ramirez-Hidalgo, Gustavo; Soodhalter, Kirk M. Krylov Subspace Recycling For Matrix Functions. arXiv:2209.14163 Preprint, arXiv:2209.14163 [math.NA] (2022). MSC: 65F10 65F30 65F50 BibTeX Cite \textit{L. Burke} et al., ``Krylov Subspace Recycling For Matrix Functions'', Preprint, arXiv:2209.14163 [math.NA] (2022) Full Text: arXiv OA License
Frommer, Andreas; Kahl, Karsten; Knechtli, Francesco; Rottmann, Matthias; Strebel, Artur; Zwaan, Ian A multigrid accelerated eigensolver for the Hermitian Wilson-Dirac operator in lattice QCD. (English) Zbl 07689041 Comput. Phys. Commun. 258, Article ID 107615, 11 p. (2021). MSC: 65-XX 82-XX PDFBibTeX XMLCite \textit{A. Frommer} et al., Comput. Phys. Commun. 258, Article ID 107615, 11 p. (2021; Zbl 07689041) Full Text: DOI arXiv
Frommer, Andreas; Schimmel, Claudia; Schweitzer, Marcel Analysis of probing techniques for sparse approximation and trace estimation of decaying matrix functions. (English) Zbl 07398755 SIAM J. Matrix Anal. Appl. 42, No. 3, 1290-1318 (2021). MSC: 65F50 65F60 05C12 05C15 15A16 PDFBibTeX XMLCite \textit{A. Frommer} et al., SIAM J. Matrix Anal. Appl. 42, No. 3, 1290--1318 (2021; Zbl 07398755) Full Text: DOI arXiv
Chow, Edmond; Frommer, Andreas; Szyld, Daniel B. Asynchronous Richardson iterations: theory and practice. (English) Zbl 1472.65036 Numer. Algorithms 87, No. 4, 1635-1651 (2021). MSC: 65F10 65Y05 PDFBibTeX XMLCite \textit{E. Chow} et al., Numer. Algorithms 87, No. 4, 1635--1651 (2021; Zbl 1472.65036) Full Text: DOI arXiv Link
Frommer, Andreas; Jacob, Birgit; Vorberg, Lukas; Wyss, Christian; Zwaan, Ian Pseudospectrum enclosures by discretization. (English) Zbl 1496.47009 Integral Equations Oper. Theory 93, No. 1, Paper No. 9, 32 p. (2021). Reviewer: Ali Shukur (Minsk) MSC: 47A10 47A12 PDFBibTeX XMLCite \textit{A. Frommer} et al., Integral Equations Oper. Theory 93, No. 1, Paper No. 9, 32 p. (2021; Zbl 1496.47009) Full Text: DOI arXiv
Frommer, Andreas; Kahl, Karsten; Tsolakis, Manuel Matrix functions via linear systems built from continued fractions. arXiv:2109.03527 Preprint, arXiv:2109.03527 [math.NA] (2021). MSC: 65F60 65F50 30B70 BibTeX Cite \textit{A. Frommer} et al., ``Matrix functions via linear systems built from continued fractions'', Preprint, arXiv:2109.03527 [math.NA] (2021) Full Text: arXiv OA License
Frommer, Andreas; Jacob, Brigit; Kahl, Kartsen; Wyss, Christian; Zwaan, Ian Krylov type methods for linear systems exploiting properties of the quadratic numerical range. (English) Zbl 1459.65041 ETNA, Electron. Trans. Numer. Anal. 53, 541-561 (2020). MSC: 65F10 65F08 15A60 PDFBibTeX XMLCite \textit{A. Frommer} et al., ETNA, Electron. Trans. Numer. Anal. 53, 541--561 (2020; Zbl 1459.65041) Full Text: DOI arXiv Link
Frommer, Andreas; Hashemi, Behnam Computing enclosures for the matrix exponential. (English) Zbl 1459.65056 SIAM J. Matrix Anal. Appl. 41, No. 4, 1674-1703 (2020). MSC: 65F60 65G20 15A16 PDFBibTeX XMLCite \textit{A. Frommer} and \textit{B. Hashemi}, SIAM J. Matrix Anal. Appl. 41, No. 4, 1674--1703 (2020; Zbl 1459.65056) Full Text: DOI
Frommer, Andreas; Lund, Kathryn; Szyld, Daniel B. Block Krylov subspace methods for functions of matrices. II: Modified block FOM. (English) Zbl 1441.65051 SIAM J. Matrix Anal. Appl. 41, No. 2, 804-837 (2020). MSC: 65F60 65F50 65F55 PDFBibTeX XMLCite \textit{A. Frommer} et al., SIAM J. Matrix Anal. Appl. 41, No. 2, 804--837 (2020; Zbl 1441.65051) Full Text: DOI
Frommer, Andreas; Schimmel, Claudia; Schweitzer, Marcel Non-Toeplitz decay bounds for inverses of Hermitian positive definite tridiagonal matrices. (English) Zbl 1402.15020 ETNA, Electron. Trans. Numer. Anal. 48, 362-372 (2018). MSC: 15B05 15A09 15B57 65F50 65F60 PDFBibTeX XMLCite \textit{A. Frommer} et al., ETNA, Electron. Trans. Numer. Anal. 48, 362--372 (2018; Zbl 1402.15020) Full Text: DOI Link
Frommer, Andreas; Schimmel, Claudia; Schweitzer, Marcel Bounds for the decay of the entries in inverses and Cauchy-Stieltjes functions of certain sparse, normal matrices. (English) Zbl 1513.15061 Numer. Linear Algebra Appl. 25, No. 4, e2131, 17 p. (2018). MSC: 15B57 33C45 PDFBibTeX XMLCite \textit{A. Frommer} et al., Numer. Linear Algebra Appl. 25, No. 4, e2131, 17 p. (2018; Zbl 1513.15061) Full Text: DOI
Frommer, Andreas; Lund, Kathryn; Szyld, Daniel B. Block Krylov subspace methods for functions of matrices. (English) Zbl 1372.65138 ETNA, Electron. Trans. Numer. Anal. 47, 100-126 (2017). MSC: 65F60 65F50 65F10 65F30 PDFBibTeX XMLCite \textit{A. Frommer} et al., ETNA, Electron. Trans. Numer. Anal. 47, 100--126 (2017; Zbl 1372.65138) Full Text: EMIS
Frommer, Andreas; Lund, Kathryn; Schweitzer, Marcel; Szyld, Daniel B. The Radau-Lanczos method for matrix functions. (English) Zbl 1371.65042 SIAM J. Matrix Anal. Appl. 38, No. 3, 710-732 (2017). MSC: 65F60 15B57 15B48 65D32 PDFBibTeX XMLCite \textit{A. Frommer} et al., SIAM J. Matrix Anal. Appl. 38, No. 3, 710--732 (2017; Zbl 1371.65042) Full Text: DOI
Frommer, Andreas; Schweitzer, Marcel Error bounds and estimates for Krylov subspace approximations of Stieltjes matrix functions. (English) Zbl 1353.65038 BIT 56, No. 3, 865-892 (2016). Reviewer: Constantin Popa (Constanţa) MSC: 65F60 65F50 65F10 65F30 65D32 PDFBibTeX XMLCite \textit{A. Frommer} and \textit{M. Schweitzer}, BIT 56, No. 3, 865--892 (2016; Zbl 1353.65038) Full Text: DOI
Brannick, James; Frommer, Andreas; Kahl, Karsten; Leder, Björn; Rottmann, Matthias; Strebel, Artur Multigrid preconditioning for the overlap operator in lattice QCD. (English) Zbl 1333.81426 Numer. Math. 132, No. 3, 463-490 (2016). MSC: 81V05 81T25 81T80 65F08 65F10 65Z05 65Y05 PDFBibTeX XMLCite \textit{J. Brannick} et al., Numer. Math. 132, No. 3, 463--490 (2016; Zbl 1333.81426) Full Text: DOI arXiv
Rashedi, Somaiyeh; Ebadi, Ghodrat; Birk, Sebastian; Frommer, Andreas On short recurrence Krylov type methods for linear systems with many right-hand sides. (English) Zbl 1382.65092 J. Comput. Appl. Math. 300, 18-29 (2016). MSC: 65F10 65F30 65F50 65H10 PDFBibTeX XMLCite \textit{S. Rashedi} et al., J. Comput. Appl. Math. 300, 18--29 (2016; Zbl 1382.65092) Full Text: DOI arXiv
Cvetković, Ljiljana (ed.); Frommer, Andreas (ed.); Hwang, Suk-Geun (ed.); Šmigoc, Helena (ed.); Zhang, Fuzhen (ed.) Preface to the 19th ILAS conference Proceedings, Seoul, South Korea 2014. (English) Zbl 1332.00076 Linear Algebra Appl. 491, 1-3 (2016). MSC: 00B25 15-06 05-06 PDFBibTeX XMLCite \textit{L. Cvetković} (ed.) et al., Linear Algebra Appl. 491, 1--3 (2016; Zbl 1332.00076) Full Text: DOI
Frommer, Andreas; Szyld, Daniel B. On necessary conditions for convergence of stationary iterative methods for Hermitian semidefinite linear systems. (English) Zbl 1320.65049 Linear Algebra Appl. 453, 192-201 (2014). MSC: 65F10 65F20 PDFBibTeX XMLCite \textit{A. Frommer} and \textit{D. B. Szyld}, Linear Algebra Appl. 453, 192--201 (2014; Zbl 1320.65049) Full Text: DOI
Frommer, Andreas; Güttel, Stefan; Schweitzer, Marcel Convergence of restarted Krylov subspace methods for Stieltjes functions of matrices. (English) Zbl 1316.65040 SIAM J. Matrix Anal. Appl. 35, No. 4, 1602-1624 (2014). Reviewer: Michael M. Pahirya (Mukachevo) MSC: 65F10 65F50 65F30 65F60 PDFBibTeX XMLCite \textit{A. Frommer} et al., SIAM J. Matrix Anal. Appl. 35, No. 4, 1602--1624 (2014; Zbl 1316.65040) Full Text: DOI Link
Birk, Sebastian; Frommer, Andreas A deflated conjugate gradient method for multiple right hand sides and multiple shifts. (English) Zbl 1305.65116 Numer. Algorithms 67, No. 3, 507-529 (2014). MSC: 65F10 81V05 PDFBibTeX XMLCite \textit{S. Birk} and \textit{A. Frommer}, Numer. Algorithms 67, No. 3, 507--529 (2014; Zbl 1305.65116) Full Text: DOI arXiv
Frommer, A.; Kahl, K.; Krieg, S.; Leder, B.; Rottmann, M. Adaptive aggregation-based domain decomposition multigrid for the lattice Wilson-Dirac operator. (English) Zbl 1302.81159 SIAM J. Sci. Comput. 36, No. 4, A1581-A1608 (2014). MSC: 81V05 81T25 81Q05 39A12 81T80 65F08 65F10 65Z05 65Y05 PDFBibTeX XMLCite \textit{A. Frommer} et al., SIAM J. Sci. Comput. 36, No. 4, A1581--A1608 (2014; Zbl 1302.81159) Full Text: DOI arXiv
Frommer, Andreas; Güttel, Stefan; Schweitzer, Marcel Efficient and stable Arnoldi restarts for matrix functions based on quadrature. (English) Zbl 1309.65050 SIAM J. Matrix Anal. Appl. 35, No. 2, 661-683 (2014). Reviewer: Liu Xinguo (Qingdao) MSC: 65F60 65F10 PDFBibTeX XMLCite \textit{A. Frommer} et al., SIAM J. Matrix Anal. Appl. 35, No. 2, 661--683 (2014; Zbl 1309.65050) Full Text: DOI
Frommer, Andreas; Hashemi, Behnam; Sablik, Thomas Computing enclosures for the inverse square root and the sign function of a matrix. (English) Zbl 1293.65071 Linear Algebra Appl. 456, 199-213 (2014). MSC: 65F30 15A24 65G30 65G20 PDFBibTeX XMLCite \textit{A. Frommer} et al., Linear Algebra Appl. 456, 199--213 (2014; Zbl 1293.65071) Full Text: DOI
Frommer, Andreas; Hashemi, Behnam Verified stability analysis using the Lyapunov matrix equation. (English) Zbl 1288.65058 ETNA, Electron. Trans. Numer. Anal. 40, 187-203 (2013). MSC: 65F30 15A24 65G30 PDFBibTeX XMLCite \textit{A. Frommer} and \textit{B. Hashemi}, ETNA, Electron. Trans. Numer. Anal. 40, 187--203 (2013; Zbl 1288.65058) Full Text: EMIS
Frommer, A.; Kahl, K.; Lippert, Th.; Rittich, H. 2-norm error bounds and estimates for Lanczos approximations to linear systems and rational matrix functions. (English) Zbl 1283.65020 SIAM J. Matrix Anal. Appl. 34, No. 3, 1046-1065 (2013). Reviewer: Adhemar Bultheel (Leuven) MSC: 65F10 65D32 65F60 41A55 PDFBibTeX XMLCite \textit{A. Frommer} et al., SIAM J. Matrix Anal. Appl. 34, No. 3, 1046--1065 (2013; Zbl 1283.65020) Full Text: DOI arXiv
Fritzsche, David; Frommer, Andreas; Shank, Stephen D.; Szyld, Daniel B. Overlapping blocks by growing a partition with applications to preconditioning. (English) Zbl 1268.65044 SIAM J. Sci. Comput. 35, No. 1, A453-A473 (2013). Reviewer: Gisbert Stoyan (Budapest) MSC: 65F10 65F08 05C85 05C20 05C50 PDFBibTeX XMLCite \textit{D. Fritzsche} et al., SIAM J. Sci. Comput. 35, No. 1, A453--A473 (2013; Zbl 1268.65044) Full Text: DOI Link
Frommer, Andreas; Hashemi, Behnam Verified error bounds for solutions of Sylvester matrix equations. (English) Zbl 1236.65045 Linear Algebra Appl. 436, No. 2, 405-420 (2012). Reviewer: Constantin Popa (Constanţa) MSC: 65F30 15A24 65F05 65G20 65G30 PDFBibTeX XMLCite \textit{A. Frommer} and \textit{B. Hashemi}, Linear Algebra Appl. 436, No. 2, 405--420 (2012; Zbl 1236.65045) Full Text: DOI
Frommer, Andreas; Nobile, Andrea; Zingler, Paul Deflation and Flexible SAP-Preconditioning of GMRES in Lattice QCD Simulation. arXiv:1204.5463 Preprint, arXiv:1204.5463 [hep-lat] (2012). BibTeX Cite \textit{A. Frommer} et al., ``Deflation and Flexible SAP-Preconditioning of GMRES in Lattice QCD Simulation'', Preprint, arXiv:1204.5463 [hep-lat] (2012) Full Text: arXiv OA License
Bolten, Matthias; Brandt, Achi; Brannick, James; Frommer, Andreas; Kahl, Karsten; Livshits, Ira A bootstrap algebraic multilevel method for Markov chains. (English) Zbl 1269.65033 SIAM J. Sci. Comput. 33, No. 6, 3425-3446 (2011). MSC: 65F15 65F08 60J22 65C40 65F10 15B51 PDFBibTeX XMLCite \textit{M. Bolten} et al., SIAM J. Sci. Comput. 33, No. 6, 3425--3446 (2011; Zbl 1269.65033) Full Text: DOI arXiv
Bolten, Matthias; Friedhoff, Stephanie; Frommer, Andreas; Heming, Matthias; Kahl, Karsten Algebraic multigrid methods for Laplacians of graphs. (English) Zbl 1217.65063 Linear Algebra Appl. 434, No. 11, 2225-2243 (2011). Reviewer: Gisbert Stoyan (Budapest) MSC: 65F10 65Y05 05C50 65N55 05C70 PDFBibTeX XMLCite \textit{M. Bolten} et al., Linear Algebra Appl. 434, No. 11, 2225--2243 (2011; Zbl 1217.65063) Full Text: DOI
Chen, Xiaojun; Frommer, Andreas; Lang, Bruno Computational existence proofs for spherical \(t\)-designs. (English) Zbl 1208.65032 Numer. Math. 117, No. 2, 289-305 (2011). MSC: 65D32 41A55 41A63 65H10 65G30 65G20 PDFBibTeX XMLCite \textit{X. Chen} et al., Numer. Math. 117, No. 2, 289--305 (2011; Zbl 1208.65032) Full Text: DOI
Bloch, Jacques C. R.; Breu, Tobias; Frommer, Andreas; Heybrock, Simon; Schäfer, Katrin; Wettig, Tilo Short-recurrence Krylov subspace methods for the overlap Dirac operator at nonzero chemical potential. (English) Zbl 1219.81096 Comput. Phys. Commun. 181, No. 8, 1378-1387 (2010). MSC: 81Q05 81V05 82B30 81Q12 81T80 81-08 PDFBibTeX XMLCite \textit{J. C. R. Bloch} et al., Comput. Phys. Commun. 181, No. 8, 1378--1387 (2010; Zbl 1219.81096) Full Text: DOI arXiv
Brannick, J.; Frommer, A.; Kahl, K.; Maclachlan, S.; Zikatanov, L. Adaptive reduction-based multigrid for nearly singular and highly disordered physical systems. (English) Zbl 1205.65321 ETNA, Electron. Trans. Numer. Anal. 37, 276-295 (2010). MSC: 65N55 65N22 65F10 PDFBibTeX XMLCite \textit{J. Brannick} et al., ETNA, Electron. Trans. Numer. Anal. 37, 276--295 (2010; Zbl 1205.65321) Full Text: EuDML EMIS
Frommer, Andreas; Hashemi, Behnam Verified computation of square roots of a matrix. (English) Zbl 1194.65069 SIAM J. Matrix Anal. Appl. 31(2009), No. 3, 1279-1302 (2010). MSC: 65F60 15A24 65G20 65G30 PDFBibTeX XMLCite \textit{A. Frommer} and \textit{B. Hashemi}, SIAM J. Matrix Anal. Appl. 31, No. 3, 1279--1302 (2010; Zbl 1194.65069) Full Text: DOI
Cundy, N.; Krieg, S.; Arnold, G.; Frommer, A.; Lippert, Th.; Schilling, K. Numerical methods for the QCD overlap operator IV: Hybrid Monte Carlo. (English) Zbl 1198.81013 Comput. Phys. Commun. 180, No. 1, 26-54 (2009). MSC: 81-04 81V05 15A18 PDFBibTeX XMLCite \textit{N. Cundy} et al., Comput. Phys. Commun. 180, No. 1, 26--54 (2009; Zbl 1198.81013) Full Text: DOI arXiv
Frommer, Andreas Monotone convergence of the Lanczos approximations to matrix functions of Hermitian matrices. (English) Zbl 1190.65063 ETNA, Electron. Trans. Numer. Anal. 35, 118-128 (2009). Reviewer: Constantin Popa (Constanţa) MSC: 65F30 65F10 15A16 15B57 PDFBibTeX XMLCite \textit{A. Frommer}, ETNA, Electron. Trans. Numer. Anal. 35, 118--128 (2009; Zbl 1190.65063) Full Text: EuDML EMIS
Chen, Xiaojun; Frommer, Andreas; Long, Bruno Computational existence proofs for spherical \(t\)-designs. (English) Zbl 1210.05021 Suzuki, Masakazu (ed.) et al., The joint conference of ASCM 2009 and MACIS 2009. 9th international conference on Asian symposium on computer mathematics and 3rd international conference on mathematical aspects of computer and information sciences, Fukuoka, Japan, December 14–17, 2009. Selected papers. Fukuoka: Kyushu University, Faculty of Mathematics. COE Lecture Note 22, 281-283 (2009). MSC: 05B30 PDFBibTeX XMLCite \textit{X. Chen} et al., COE Lect. Note 22, 281--283 (2009; Zbl 1210.05021)
Beelitz, Thomas; Frommer, Andreas; Lang, Bruno; Willems, Paul A framework for existence tests based on the topological degree and homotopy. (English) Zbl 1163.65024 Numer. Math. 111, No. 4, 493-507 (2009). Reviewer: Jürgen Guddat (Berlin) MSC: 65H10 65G30 PDFBibTeX XMLCite \textit{T. Beelitz} et al., Numer. Math. 111, No. 4, 493--507 (2009; Zbl 1163.65024) Full Text: DOI
Cvetković, Ljiljana (ed.); Frommer, Andreas (ed.); Kolotilina, Lilia (ed.); Szyld, Daniel B. (ed.) Preface to the 80th birthday of Richard S. Varga. (English) Zbl 1315.00132 Linear Algebra Appl. 429, No. 10, 2291-2292 (2008). MSC: 00B30 PDFBibTeX XMLCite \textit{L. Cvetković} (ed.) et al., Linear Algebra Appl. 429, No. 10, 2291--2292 (2008; Zbl 1315.00132) Full Text: DOI
Frommer, Andreas; Simoncini, Valeria Stopping criteria for rational matrix functions of Hermitian and symmetric matrices. (English) Zbl 1203.65079 SIAM J. Sci. Comput. 30, No. 3, 1387-1412 (2008). Reviewer: Gennadij Demidenko (Novosibirsk) MSC: 65F30 65F10 65F50 PDFBibTeX XMLCite \textit{A. Frommer} and \textit{V. Simoncini}, SIAM J. Sci. Comput. 30, No. 3, 1387--1412 (2008; Zbl 1203.65079) Full Text: DOI Link
Frommer, Andreas; Nabben, Reinhard; Szyld, Daniel B. Convergence of stationary iterative methods for Hermitian semidefinite linear systems and applications to Schwarz methods. (English) Zbl 1165.65012 SIAM J. Matrix Anal. Appl. 30, No. 2, 925-938 (2008). Reviewer: Tzvetan Semerdjiev (Sofia) MSC: 65F10 65F20 PDFBibTeX XMLCite \textit{A. Frommer} et al., SIAM J. Matrix Anal. Appl. 30, No. 2, 925--938 (2008; Zbl 1165.65012) Full Text: DOI
Frommer, Andreas; Simoncini, Valeria Matrix functions. (English) Zbl 1153.65333 Schilders, Wilhelmus H. A. (ed.) et al., Model order reduction: Theory, research aspects and applications. Selected papers based on the presentations at the workshop ‘Model order reduction, coupled problems and optimization’, Leiden, The Netherlands, September 19–23, 2005. Berlin: Springer (ISBN 978-3-540-78840-9/hbk). Mathematics in Industry 13, 275-303 (2008). MSC: 65F30 15A54 PDFBibTeX XMLCite \textit{A. Frommer} and \textit{V. Simoncini}, Math. Ind. 13, 275--303 (2008; Zbl 1153.65333)
Bloch, J.; Frommer, A.; Lang, B.; Wettig, T. An iterative method to compute the sign function of a non-Hermitian matrix and its application to the overlap Dirac operator at nonzero chemical potential. (English) Zbl 1196.65085 Comput. Phys. Commun. 177, No. 12, 933-943 (2007). MSC: 65F60 81T25 81V05 PDFBibTeX XMLCite \textit{J. Bloch} et al., Comput. Phys. Commun. 177, No. 12, 933--943 (2007; Zbl 1196.65085) Full Text: DOI arXiv
Fritzsche, David; Frommer, Andreas; Szyld, Daniel B. Extensions of certain graph-based algorithms for preconditioning. (English) Zbl 1149.65033 SIAM J. Sci. Comput. 29, No. 5, 2144-2161 (2007). MSC: 65F35 65F10 PDFBibTeX XMLCite \textit{D. Fritzsche} et al., SIAM J. Sci. Comput. 29, No. 5, 2144--2161 (2007; Zbl 1149.65033) Full Text: DOI
Scheid, Harald; Frommer, Andreas Number theory. 4th ed. (Zahlentheorie.) (German) Zbl 1163.11001 Heidelberg: Elsevier/Spektrum Akademischer Verlag (ISBN 978-3-8274-1692-6/hbk). viii, 509 p. (2007). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 11-01 11Axx 11Dxx 11Nxx 11Pxx 11T71 PDFBibTeX XMLCite \textit{H. Scheid} and \textit{A. Frommer}, Zahlentheorie. 4th ed. Heidelberg: Elsevier/Spektrum Akademischer Verlag (2007; Zbl 1163.11001)
Frommer, A.; Hoxha, F.; Lang, B. Proving the existence of zeros using the topological degree and interval arithmetic. (English) Zbl 1129.65037 J. Comput. Appl. Math. 199, No. 2, 397-402 (2007). Reviewer: Svetoslav Markov (Sofia) MSC: 65H10 65G30 65H20 PDFBibTeX XMLCite \textit{A. Frommer} et al., J. Comput. Appl. Math. 199, No. 2, 397--402 (2007; Zbl 1129.65037) Full Text: DOI
Tapamo, H.; Frommer, A. Two acceleration mechanisms in verified global optimization. (English) Zbl 1108.65069 J. Comput. Appl. Math. 199, No. 2, 390-396 (2007). MSC: 65K05 90C30 65G20 65G30 65Y05 PDFBibTeX XMLCite \textit{H. Tapamo} and \textit{A. Frommer}, J. Comput. Appl. Math. 199, No. 2, 390--396 (2007; Zbl 1108.65069) Full Text: DOI
Beelitz, Thomas; Frommer, Andreas; Lang, Bruno; Willems, Paul Symbolic-numeric techniques for solving nonlinear systems. (English) Zbl 1391.65143 PAMM, Proc. Appl. Math. Mech. 5, 705-708 (2005). MSC: 65H10 68W30 PDFBibTeX XMLCite \textit{T. Beelitz} et al., PAMM, Proc. Appl. Math. Mech. 5, 705--708 (2005; Zbl 1391.65143) Full Text: DOI
Arnold, Guido; Cundy, Nigel; van den Eshof, Jasper; Frommer, Andreas; Krieg, Stefan; Lippert, Thomas; Schäfer, Katrin Numerical methods for the QCD overlap operator. II: Optimal Krylov subspace methods. (English) Zbl 1077.81528 Boriçi, Artan (ed.) et al., QCD and numerical analysis III. Proceedings of the third international workshop on numerical analysis and lattice QCD, Edinburgh, UK, June 30 – July 4, 2003. Berlin: Springer (ISBN 3-540-21257-4/pbk). Lecture Notes in Computational Science and Engineering 47, 153-167 (2005). MSC: 81T25 81T80 81V05 81-08 PDFBibTeX XMLCite \textit{G. Arnold} et al., Lect. Notes Comput. Sci. Eng. 47, 153--167 (2005; Zbl 1077.81528) Full Text: arXiv
Frommer, Andreas; Lang, Bruno Existence tests for solutions of nonlinear equations using Borsuk’s theorem. (English) Zbl 1095.47057 SIAM J. Numer. Anal. 43, No. 3, 1348-1361 (2005). Reviewer: Hang Tong Lau (Montréal) MSC: 47N40 47H10 65G20 65G40 65H10 PDFBibTeX XMLCite \textit{A. Frommer} and \textit{B. Lang}, SIAM J. Numer. Anal. 43, No. 3, 1348--1361 (2005; Zbl 1095.47057) Full Text: DOI
Boriçi, Artan (ed.); Frommer, Andreas (ed.); Joó, Bálint (ed.); Kennedy, Anthony (ed.); Pendleton, Brian (ed.) QCD and numerical analysis III. Proceedings of the third international workshop on numerical analysis and lattice QCD, Edinburgh, UK, June 30 – July 4, 2003. (English) Zbl 1066.81001 Lecture Notes in Computational Science and Engineering 47. Berlin: Springer (ISBN 3-540-21257-4/pbk). xii, 201 p. (2005). MSC: 81-06 65-06 00B25 PDFBibTeX XMLCite \textit{A. Boriçi} (ed.) et al., QCD and numerical analysis III. Proceedings of the third international workshop on numerical analysis and lattice QCD, Edinburgh, UK, June 30 -- July 4, 2003. Berlin: Springer (2005; Zbl 1066.81001) Full Text: DOI
El Baz, Didier; Frommer, Andreas; Spiteri, Pierre Asynchronous iterations with flexible communication: contracting operators. (English) Zbl 1069.65054 J. Comput. Appl. Math. 176, No. 1, 91-103 (2005). Reviewer: Przemyslaw Stpiczynski (Lublin) MSC: 65H10 65Y05 65F10 PDFBibTeX XMLCite \textit{D. El Baz} et al., J. Comput. Appl. Math. 176, No. 1, 91--103 (2005; Zbl 1069.65054) Full Text: DOI
Frommer, Andreas; Lang, Bruno On preconditioners for the Borsuk existence test. (English) Zbl 1354.65098 PAMM, Proc. Appl. Math. Mech. 4, 638-639 (2004). MSC: 65H10 65F08 PDFBibTeX XMLCite \textit{A. Frommer} and \textit{B. Lang}, PAMM, Proc. Appl. Math. Mech. 4, 638--639 (2004; Zbl 1354.65098) Full Text: DOI
Li, Yingbo; Kummert, Anton; Frommer, Andreas A linear programming based analysis of the CP-rank of completely positive matrices. (English) Zbl 1171.90471 Int. J. Appl. Math. Comput. Sci. 14, No. 1, 25-31 (2004). MSC: 90C05 90C08 15B48 PDFBibTeX XMLCite \textit{Y. Li} et al., Int. J. Appl. Math. Comput. Sci. 14, No. 1, 25--31 (2004; Zbl 1171.90471) Full Text: EuDML
Alefeld, Götz; Frommer, Andreas; Heindl, Gerhard; Mayer, Jan On the existence theorems of Kantorovich, Miranda and Borsuk. (English) Zbl 1080.47042 ETNA, Electron. Trans. Numer. Anal. 17, 102-111 (2004). Reviewer: Ulrich Kosel (Freiberg) MSC: 47H10 47J05 65H10 PDFBibTeX XMLCite \textit{G. Alefeld} et al., ETNA, Electron. Trans. Numer. Anal. 17, 102--111 (2004; Zbl 1080.47042) Full Text: EuDML EMIS
Qiu, Z. P.; Mueller, P. C.; Frommer, A. The new nonprobabilistic criterion of failure for dynamical systems based on convex models. (English) Zbl 1112.93038 Math. Comput. Modelling 40, No. 1-2, 201-215 (2004). MSC: 93C41 65G30 70J99 70Q05 74R99 PDFBibTeX XMLCite \textit{Z. P. Qiu} et al., Math. Comput. Modelling 40, No. 1--2, 201--215 (2004; Zbl 1112.93038) Full Text: DOI
Frommer, A.; Lang, B.; Schnurr, M. A comparison of the Moore and Miranda existence tests. (English) Zbl 1069.47060 Computing 72, No. 3-4, 349-354 (2004). Reviewer: Costică Moroşanu (Iaşi) MSC: 47H10 65G20 65G40 65H10 PDFBibTeX XMLCite \textit{A. Frommer} et al., Computing 72, No. 3--4, 349--354 (2004; Zbl 1069.47060) Full Text: DOI
Alt, René (ed.); Frommer, Andreas (ed.); Kearfott, R. Baker (ed.); Luther, Wolfram (ed.) Numerical software with result verification. International Dagstuhl seminar, Dagstuhl Castle, Germany, January 19–24, 2003. Revised papers. (English) Zbl 1046.65001 Lecture Notes in Computer Science 2991. Berlin: Springer (ISBN 3-540-21260-4/pbk). x, 315 p. (2004). MSC: 65-06 68-06 00B25 65Y99 PDFBibTeX XMLCite \textit{R. Alt} (ed.) et al., Numerical software with result verification. International Dagstuhl seminar, Dagstuhl Castle, Germany, January 19--24, 2003. Revised papers. Berlin: Springer (2004; Zbl 1046.65001) Full Text: DOI
Frommer, Andreas BiCGStab(\(\ell\)) for families of shifted linear systems. (English) Zbl 1239.65022 Computing 70, No. 2, 87-109 (2003). MSC: 65F10 PDFBibTeX XMLCite \textit{A. Frommer}, Computing 70, No. 2, 87--109 (2003; Zbl 1239.65022) Full Text: DOI
Elsner, Ludwig; Frommer, Andreas; Nabben, Reinhard; Schneider, Hans; Szyld, Daniel B. Conditions for strict inequality in comparisons of spectral radii of splittings of different matrices. (English) Zbl 1018.65049 Linear Algebra Appl. 363, 65-80 (2003). Reviewer: F.Szidarovszky (Tucson) MSC: 65F10 15A42 15B48 PDFBibTeX XMLCite \textit{L. Elsner} et al., Linear Algebra Appl. 363, 65--80 (2003; Zbl 1018.65049) Full Text: DOI
Frommer, A.; Nabben, R.; Szyld, D. B. An algebraic convergence theory for restricted additive and multiplicative Schwarz methods. (English) Zbl 1026.65022 Debit, N. (ed.) et al., Domain decomposition methods in science and engineering. Papers of the thirteenth international conference on domain decomposition methods, Lyon, France, October 9-12, 2000. Barcelona: International Center for Numerical Methods in Engineering (CIMNE). Theory Eng. Appl. Comput. Methods. 371-377 (2002). MSC: 65F10 65F35 PDFBibTeX XMLCite \textit{A. Frommer} et al., in: Domain decomposition methods in science and engineering. XIII. Papers of the thirteenth international conference on domain decomposition methods, Lyon, France, October 9--12, 2000. Barcelona: International Center for Numerical Methods in Engineering (CIMNE). 371--377 (2002; Zbl 1026.65022)
van den Eshof, J.; Frommer, A.; Lippert, Th.; Schilling, K.; van der Vorst, H. A. Numerical methods for the QCDd overlap operator. I: Sign-function and error bounds. (English) Zbl 1008.81508 Comput. Phys. Commun. 146, No. 2, 203-224 (2002). MSC: 81T25 81V05 81-08 PDFBibTeX XMLCite \textit{J. van den Eshof} et al., Comput. Phys. Commun. 146, No. 2, 203--224 (2002; Zbl 1008.81508) Full Text: DOI arXiv
Frommer, A.; Spiteri, P. On linear asynchronous iterations when the spectral radius of the modulus matrix is one. (English) Zbl 0994.65034 Alefeld, G. (ed.) et al., Topics in numerical analysis. With special emphasis on nonlinear problems. Dedicated to Prof. Tetsuro Yamamoto on his 65th birthday. Wien: Springer. Comput. Suppl. 15, 91-104 (2001). Reviewer: Dietrich Braess (Bochum) MSC: 65F10 65Y05 PDFBibTeX XMLCite \textit{A. Frommer} and \textit{P. Spiteri}, Comput. Suppl. 15, 91--104 (2001; Zbl 0994.65034)
Frommer, Andreas Proving conjectures by use of interval arithmetic. (English) Zbl 0990.65048 Kulisch, Ulrich (ed.) et al., Perspectives on enclosure methods. SCAN 2000, GAMM-IMACS international symposium on scientific computing, computer arithmetic and validated numerics, Univ. Karlsruhe, Germany, September 19-22, 2000. Wien: Springer. 1-13 (2001). MSC: 65G30 68T15 PDFBibTeX XMLCite \textit{A. Frommer}, in: Perspectives on enclosure methods. SCAN 2000, GAMM-IMACS international symposium on scientific computing, computer arithmetic and validated numerics, Univ. Karlsruhe, Germany, September 19--22, 2000. Wien: Springer. 1--13 (2001; Zbl 0990.65048)
Benzi, Michele; Frommer, Andreas; Nabben, Reinhard; Szyld, Daniel B. Algebraic theory of multiplicative Schwarz methods. (English) Zbl 0991.65037 Numer. Math. 89, No. 4, 605-639 (2001). Reviewer: Krassimir Georgiev (Mol) MSC: 65F10 65F35 65N55 PDFBibTeX XMLCite \textit{M. Benzi} et al., Numer. Math. 89, No. 4, 605--639 (2001; Zbl 0991.65037) Full Text: DOI
Qiu, Zhiping; Müller, Peter C.; Frommer, Andreas Ellipsoidal set-theoretic approach for stability of linear state-space models with interval uncertainty. (English) Zbl 0985.65077 Math. Comput. Simul. 57, No. 1-2, 45-59 (2001). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65K10 93B35 93C05 93D09 PDFBibTeX XMLCite \textit{Z. Qiu} et al., Math. Comput. Simul. 57, No. 1--2, 45--59 (2001; Zbl 0985.65077) Full Text: DOI
Qiu, Zhiping; Müller, Peter C.; Frommer, Andreas Stability robustness bounds for linear state-space models with structured uncertainty based on ellipsoidal set-theoretic approach. (English) Zbl 1066.93043 Math. Comput. Simul. 56, No. 1, 35-53 (2001). Reviewer: Dmitry Silin (Berkeley) MSC: 93D09 PDFBibTeX XMLCite \textit{Z. Qiu} et al., Math. Comput. Simul. 56, No. 1, 35--53 (2001; Zbl 1066.93043) Full Text: DOI
Frommer, Andreas A feasibility result for interval Gaussian elimination relying on graph structure. (English) Zbl 0984.65020 Alefeld, Götz (ed.) et al., Symbolic algebraic methods and verification methods. Wien: Springer. 79-86 (2001). Reviewer: Nikolai L.Vulchanov (Warszawa) MSC: 65F05 65G30 PDFBibTeX XMLCite \textit{A. Frommer}, in: Symbolic algebraic methods and verification methods. Wien: Springer. 79--86 (2001; Zbl 0984.65020)
Qiu, Zhiping; Müller, Peter C.; Frommer, Andreas An approximate method for the standard interval eigenvalue problem of real non-symmetric interval matrices. (English) Zbl 0991.65040 Commun. Numer. Methods Eng. 17, No. 4, 239-251 (2001). Reviewer: Günter Mayer (Speyer) MSC: 65F15 65G30 PDFBibTeX XMLCite \textit{Z. Qiu} et al., Commun. Numer. Methods Eng. 17, No. 4, 239--251 (2001; Zbl 0991.65040) Full Text: DOI
Frommer, Andreas; Szyld, Daniel B. An algebraic convergence theory for restricted additive Schwarz methods using weighted max norms. (English) Zbl 1006.65031 SIAM J. Numer. Anal. 39, No. 2, 463-479 (2001). Reviewer: M.Plum (Karlsruhe) MSC: 65F10 65N55 65N12 65F35 PDFBibTeX XMLCite \textit{A. Frommer} and \textit{D. B. Szyld}, SIAM J. Numer. Anal. 39, No. 2, 463--479 (2001; Zbl 1006.65031) Full Text: DOI
Frommer, A.; Großer, B.; Krivsky, S. MathePrisma – experience with a multimedia project for ‘Mathematics in school’. (MathePrisma – Erfahrungen mit einem Multimedia-Projekt zur Mathematik für die Schule.) (German) Zbl 1043.00502 Blankenagel, Jürgen (ed.) et al., Mathematical didactics with enthusiasm for mathematics. Festschrift for Harald Scheid. Stuttgart: Klett-Verlag (ISBN 3-12-983380-3/pbk). 73-82 (2000). MSC: 00A35 97U80 PDFBibTeX XMLCite \textit{A. Frommer} et al., in: Mathematikdidaktik aus Begeisterung für die Mathematik. Festschrift für Harald Scheid. Stuttgart: Klett-Verlag. 73--82 (2000; Zbl 1043.00502)
Frommer, Andreas (ed.); Lippert, Thomas (ed.); Medeke, Björn (ed.); Schilling, Klaus (ed.) Numerical challenges in lattice quantum chromodynamics. Joint interdisciplinary workshop of John von Neumann Institute for Computing, Jülich, and Institute of Applied Computer Science, Wuppertal Univ., Germany, August 1999. (English) Zbl 0957.00052 Lecture Notes in Computational Science and Engineering. 15. Berlin: Springer. viii, 184 p. (2000). MSC: 00B25 81-06 81V05 PDFBibTeX XMLCite \textit{A. Frommer} (ed.) et al., Numerical challenges in lattice quantum chromodynamics. Joint interdisciplinary workshop of John von Neumann Institute for Computing, Jülich, and Institute of Applied Computer Science, Wuppertal Univ., Germany, August 1999. Berlin: Springer (2000; Zbl 0957.00052)
Frommer, Andreas; Szyld, Daniel B. On asynchronous iterations. (English) Zbl 0967.65066 J. Comput. Appl. Math. 123, No. 1-2, 201-216 (2000). Reviewer: Willi Schönauer (Karlsruhe) MSC: 65H10 65F10 65Y05 PDFBibTeX XMLCite \textit{A. Frommer} and \textit{D. B. Szyld}, J. Comput. Appl. Math. 123, No. 1--2, 201--216 (2000; Zbl 0967.65066) Full Text: DOI
Diekmann, R.; Frommer, A.; Monien, B. Efficient schemes for nearest neighbor load balancing. (English) Zbl 0942.90023 Parallel Comput. 25, No. 7, 789-812 (1999). MSC: 90B35 68M20 PDFBibTeX XMLCite \textit{R. Diekmann} et al., Parallel Comput. 25, No. 7, 789--812 (1999; Zbl 0942.90023) Full Text: DOI
Bietenholz, W.; Eicker, N.; Frommer, A.; Lippert, Th.; Medeke, B. Preconditioning of improved and ”perfect” fermion actions. (English) Zbl 0998.81549 Comput. Phys. Commun. 119, No. 1, 1-18 (1999). MSC: 81V45 81T25 81-08 81T17 PDFBibTeX XMLCite \textit{W. Bietenholz} et al., Comput. Phys. Commun. 119, No. 1, 1--18 (1999; Zbl 0998.81549) Full Text: DOI arXiv
Eicker, N.; Bietenholz, W.; Frommer, A.; Lippert, T.; Medeke, B.; Schilling, K. A preconditioner for improved fermion actions. (English) Zbl 1051.81629 Nucl. Phys., B, Proc. Suppl. 73, No. 1-3, 850-852 (1999). MSC: 81T80 81T25 PDFBibTeX XMLCite \textit{N. Eicker} et al., Nucl. Phys., B, Proc. Suppl. 73, No. 1--3, 850--852 (1999; Zbl 1051.81629) Full Text: DOI arXiv
Frommer, Andreas; Weinberg, Andre Verified error bounds for linear systems through the Lanczos process. (English) Zbl 1067.65041 Csendes, Tibor (ed.), Developments in reliable computing. SCAN-98 conference, 8th international symposium on Scientific computing, computer arithmetic and validated numerics. Budapest, Hungary, September 22–25, 1998. Dordrecht: Kluwer Academic Publishers (ISBN 0-7923-6057-5). 255-267 (1999). MSC: 65F30 65G20 PDFBibTeX XMLCite \textit{A. Frommer} and \textit{A. Weinberg}, in: Developments in reliable computing. SCAN-98 conference, 8th international symposium on Scientific computing, computer arithmetic and validated numerics. Budapest, Hungary, September 22--25, 1998. Dordrecht: Kluwer Academic Publishers. 255--267 (1999; Zbl 1067.65041)
Frommer, Andreas; Renaut, Rosemary A. Parallel space decomposition for minimization of nonlinear functionals. (English) Zbl 0945.65064 Yang, Tianruo (ed.), Parallel numerical computation with applications. Proceedings of the workshop on Frontiers of parallel numerical computations and applications, organized in the IEEE 7th symposium on the Frontiers on massively parallel computers (Frontiers ’99) at Annapolis, MD, USA, February 20-25, 1999. Boston: Kluwer Academic Publishers. Kluwer Int. Ser. Eng. Comput. Sci. 515, 53-61 (1999). MSC: 65K05 90C30 65Y05 PDFBibTeX XMLCite \textit{A. Frommer} and \textit{R. A. Renaut}, Kluwer Int. Ser. Eng. Comput. Sci. 515, 53--61 (1999; Zbl 0945.65064)
Elsässer, Robert; Frommer, Andreas; Monien, Burkhard; Preis, Robert Optimal and alternating-direction load balancing schemes. (English) Zbl 0947.68008 Amestoy, Patrick (ed.) et al., Euro-Par ’99. Parallel processing. 5th international Euro-Par conference, Toulouse, France, August 31 - September 3, 1999. Proceedings. Berlin: Springer. Lect. Notes Comput. Sci. 1685, 280-290 (1999). MSC: 68M10 68R10 PDFBibTeX XMLCite \textit{R. Elsässer} et al., Lect. Notes Comput. Sci. 1685, 280--290 (1999; Zbl 0947.68008)
Frommer, Andreas; Weinberg, Andre Verified error bounds for linear systems through the Lanczos process. (English) Zbl 0947.65050 Reliab. Comput. 5, No. 3, 255-267 (1999). MSC: 65F30 65G20 PDFBibTeX XMLCite \textit{A. Frommer} and \textit{A. Weinberg}, Reliab. Comput. 5, No. 3, 255--267 (1999; Zbl 0947.65050) Full Text: DOI
Diekmann, Ralf; Frommer, Andreas; Monien, Burkhard Efficient schemes for nearest neighbor load balancing. (English) Zbl 0930.68163 Parallel Comput. 25, No. 7, 789-812 (1999). MSC: 68W05 68M20 PDFBibTeX XMLCite \textit{R. Diekmann} et al., Parallel Comput. 25, No. 7, 789--812 (1999; Zbl 0930.68163) Full Text: DOI
Frommer, Andreas; Renaut, Rosemary A. A unified approach to parallel space decomposition methods. (English) Zbl 0936.65071 J. Comput. Appl. Math. 110, No. 1, 205-223 (1999). Reviewer: N.Djuranović-Miličić (Beograd) MSC: 65K05 90C30 65F10 65Y05 65F20 PDFBibTeX XMLCite \textit{A. Frommer} and \textit{R. A. Renaut}, J. Comput. Appl. Math. 110, No. 1, 205--223 (1999; Zbl 0936.65071) Full Text: DOI
Frommer, Andreas; Szyld, Daniel B. Weighted max norms, splittings, and overlapping additive Schwarz iterations. (English) Zbl 0934.65035 Numer. Math. 83, No. 2, 259-278 (1999). Reviewer: F.Szidarovszky (Tucson) MSC: 65F10 PDFBibTeX XMLCite \textit{A. Frommer} and \textit{D. B. Szyld}, Numer. Math. 83, No. 2, 259--278 (1999; Zbl 0934.65035) Full Text: DOI
Frommer, Andreas; Maass, Peter Fast cg-based methods for Tikhonov–Phillips regularization. (English) Zbl 0943.65068 SIAM J. Sci. Comput. 20, No. 5, 1831-1850 (1999). Reviewer: Emil Minchev (Sofia) MSC: 65J10 47A50 47A52 45B05 65J20 65R30 PDFBibTeX XMLCite \textit{A. Frommer} and \textit{P. Maass}, SIAM J. Sci. Comput. 20, No. 5, 1831--1850 (1999; Zbl 0943.65068) Full Text: DOI
Diekmann, Ralf; Frommer, Andreas; Monien, Burkhard Nearest neighbor load balancing on graphs. (English) Zbl 0927.90103 Bilardi, Gianfranco (ed.) et al., Algorithms - ESA ’98. 6th annual European symposium, Venice, Italy, August 24–26, 1998. Proceedings. Berlin: Springer. Lect. Notes Comput. Sci. 1461, 429-440 (1998). MSC: 90C35 90B35 PDFBibTeX XMLCite \textit{R. Diekmann} et al., Lect. Notes Comput. Sci. 1461, 429--440 (1998; Zbl 0927.90103)
Frommer, Andreas; Glässner, Uwe Restarted GMRES for shifted linear systems. (English) Zbl 0912.65023 SIAM J. Sci. Comput. 19, No. 1, 15-26 (1998). Reviewer: D.Petcu (Timişoara) MSC: 65F10 81T25 81V05 PDFBibTeX XMLCite \textit{A. Frommer} and \textit{U. Glässner}, SIAM J. Sci. Comput. 19, No. 1, 15--26 (1998; Zbl 0912.65023) Full Text: DOI
Frommer, A.; Lippert, Th.; Schilling, K. Scalable parallel SSOR preconditioning for lattice computations in gauge theories. (English) Zbl 0996.68823 Lengauer, Christian (ed.) et al., Euro-par ’97 parallel processing. 3rd international Euro-Par conference, Passau, Germany, August 26-29, 1997. Proceedings. Berlin: Springer. Lect. Notes Comput. Sci. 1300, 742-749 (1997). MSC: 68U99 65Y05 PDFBibTeX XMLCite \textit{A. Frommer} et al., Lect. Notes Comput. Sci. 1300, 742--749 (1997; Zbl 0996.68823)
Frommer, Andreas; Schwandt, Hartmut; Szyld, Daniel B. Asynchronous weighted additive Schwarz methods. (English) Zbl 0890.65027 ETNA, Electron. Trans. Numer. Anal. 5, 48-61 (1997). Reviewer: F.Szidarovszky (Tucson) MSC: 65F10 65Y05 PDFBibTeX XMLCite \textit{A. Frommer} et al., ETNA, Electron. Trans. Numer. Anal. 5, 48--61 (1997; Zbl 0890.65027) Full Text: EuDML EMIS
Frommer, Andreas; Schwandt, Hartmut A unified representation and theory of algebraic additive Schwarz and multisplitting methods. (English) Zbl 0892.65017 SIAM J. Matrix Anal. Appl. 18, No. 4, 893-912 (1997). Reviewer: E.D’yakonov (Moskva) MSC: 65F10 65N55 65Y05 PDFBibTeX XMLCite \textit{A. Frommer} and \textit{H. Schwandt}, SIAM J. Matrix Anal. Appl. 18, No. 4, 893--912 (1997; Zbl 0892.65017) Full Text: DOI
Frommer, A.; Schwandt, H. A unified representation and theory of algebraic additive Schwarz and multisplitting methods. (English) Zbl 0900.65087 Z. Angew. Math. Mech. 77, Suppl. 2, S557-S558 (1997). MSC: 65F10 PDFBibTeX XMLCite \textit{A. Frommer} and \textit{H. Schwandt}, Z. Angew. Math. Mech. 77, S557--S558 (1997; Zbl 0900.65087)