Palitta, Davide; Pozza, Stefano; Simoncini, Valeria The short-term rational Lanczos method and applications. (English) Zbl 1508.65028 SIAM J. Sci. Comput. 44, No. 4, A2843-A2870 (2022). Reviewer: Bahar Arslan (Bursa) MSC: 65F10 65F15 65F45 65F50 65F60 PDFBibTeX XMLCite \textit{D. Palitta} et al., SIAM J. Sci. Comput. 44, No. 4, A2843--A2870 (2022; Zbl 1508.65028) Full Text: DOI arXiv
Bünger, Alexandra; Simoncini, Valeria; Stoll, Martin A low-rank matrix equation method for solving PDE-constrained optimization problems. (English) Zbl 07418123 SIAM J. Sci. Comput. 43, No. 5, S637-S654 (2021). MSC: 65F10 49M41 65F45 65F55 PDFBibTeX XMLCite \textit{A. Bünger} et al., SIAM J. Sci. Comput. 43, No. 5, S637--S654 (2021; Zbl 07418123) Full Text: DOI arXiv
Kirsten, Gerhard; Simoncini, Valeria Order reduction methods for solving large-scale differential matrix Riccati equations. (English) Zbl 1452.65078 SIAM J. Sci. Comput. 42, No. 4, A2182-A2205 (2020). MSC: 65F45 15A24 65L05 PDFBibTeX XMLCite \textit{G. Kirsten} and \textit{V. Simoncini}, SIAM J. Sci. Comput. 42, No. 4, A2182--A2205 (2020; Zbl 1452.65078) Full Text: DOI arXiv
Palitta, Davide; Simoncini, Valeria Numerical methods for large-scale Lyapunov equations with symmetric banded data. (English) Zbl 1416.65119 SIAM J. Sci. Comput. 40, No. 5, A3581-A3608 (2018). MSC: 65F30 15A24 PDFBibTeX XMLCite \textit{D. Palitta} and \textit{V. Simoncini}, SIAM J. Sci. Comput. 40, No. 5, A3581--A3608 (2018; Zbl 1416.65119) Full Text: DOI arXiv
Powell, C. E.; Silvester, D.; Simoncini, V. An efficient reduced basis solver for stochastic Galerkin matrix equations. (English) Zbl 1381.35257 SIAM J. Sci. Comput. 39, No. 1, A141-A163 (2017). MSC: 35R60 60H35 65N30 65F10 65N22 PDFBibTeX XMLCite \textit{C. E. Powell} et al., SIAM J. Sci. Comput. 39, No. 1, A141--A163 (2017; Zbl 1381.35257) Full Text: DOI
Porcelli, Margherita; Simoncini, Valeria; Tani, Mattia Preconditioning of active-set Newton methods for PDE-constrained optimal control problems. (English) Zbl 1325.65066 SIAM J. Sci. Comput. 37, No. 5, S472-S502 (2015). MSC: 65F50 15A09 65F08 65K05 65H10 49J20 PDFBibTeX XMLCite \textit{M. Porcelli} et al., SIAM J. Sci. Comput. 37, No. 5, S472--S502 (2015; Zbl 1325.65066) Full Text: DOI arXiv
Druskin, V.; Simoncini, V.; Zaslavsky, M. Solution of the time-domain inverse resistivity problem in the model reduction framework. I. One-dimensional problem with SISO data. (English) Zbl 1273.35313 SIAM J. Sci. Comput. 35, No. 3, A1621-A1640 (2013). MSC: 35R30 41A20 41A05 65M32 86A22 86-08 PDFBibTeX XMLCite \textit{V. Druskin} et al., SIAM J. Sci. Comput. 35, No. 3, A1621--A1640 (2013; Zbl 1273.35313) Full Text: DOI
Pennacchio, Micol; Simoncini, Valeria Fast structured AMG preconditioning for the bidomain model in electrocardiology. (English) Zbl 1227.92034 SIAM J. Sci. Comput. 33, No. 2, 721-745 (2011). MSC: 92C50 92C05 35Q92 65N55 92C30 PDFBibTeX XMLCite \textit{M. Pennacchio} and \textit{V. Simoncini}, SIAM J. Sci. Comput. 33, No. 2, 721--745 (2011; Zbl 1227.92034) Full Text: DOI
Simoncini, Valeria; Szyld, Daniel B. Interpreting IDR as a Petrov-Galerkin method. (English) Zbl 1219.65039 SIAM J. Sci. Comput. 32, No. 4, 1898-1912 (2010). MSC: 65F10 15A06 65F50 PDFBibTeX XMLCite \textit{V. Simoncini} and \textit{D. B. Szyld}, SIAM J. Sci. Comput. 32, No. 4, 1898--1912 (2010; Zbl 1219.65039) 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
Simoncini, V. A new iterative method for solving large-scale Lyapunov matrix equations. (English) Zbl 1146.65038 SIAM J. Sci. Comput. 29, No. 3, 1268-1288 (2007). Reviewer: Petko Hr. Petkov (Sofia) MSC: 65F30 15A24 PDFBibTeX XMLCite \textit{V. Simoncini}, SIAM J. Sci. Comput. 29, No. 3, 1268--1288 (2007; Zbl 1146.65038) Full Text: DOI
Simoncini, Valeria; Szyld, Daniel B. Theory of inexact Krylov subspace methods and applications to scientific computing. (English) Zbl 1048.65032 SIAM J. Sci. Comput. 25, No. 2, 454-477 (2003). Reviewer: Xavier Antoine (Pasadena) MSC: 65F10 65F15 PDFBibTeX XMLCite \textit{V. Simoncini} and \textit{D. B. Szyld}, SIAM J. Sci. Comput. 25, No. 2, 454--477 (2003; Zbl 1048.65032) Full Text: DOI
Simoncini, V.; Perotti, F. On the numerical solution of \((\lambda^2 A + \lambda B + C)x = b\) and application to structural dynamics. (English) Zbl 1018.65043 SIAM J. Sci. Comput. 23, No. 6, 1875-1897 (2002). Reviewer: Michael Jung (Dresden) MSC: 65F10 PDFBibTeX XMLCite \textit{V. Simoncini} and \textit{F. Perotti}, SIAM J. Sci. Comput. 23, No. 6, 1875--1897 (2002; Zbl 1018.65043) Full Text: DOI
Perugia, I.; Simoncini, V.; Arioli, M. Linear algebra methods in a mixed approximation of magnetostatic problems. (English) Zbl 1040.78012 SIAM J. Sci. Comput. 21, No. 3, 1085-1101 (1999). MSC: 78M10 78A30 65N30 65F10 PDFBibTeX XMLCite \textit{I. Perugia} et al., SIAM J. Sci. Comput. 21, No. 3, 1085--1101 (1999; Zbl 1040.78012) Full Text: DOI
Simoncini, V.; Gallopoulos, E. An iterative method for nonsymmetric systems with multiple right-hand sides. (English) Zbl 0831.65037 SIAM J. Sci. Comput. 16, No. 4, 917-933 (1995). Reviewer: M.Jung (Chemnitz) MSC: 65F10 65Y20 PDFBibTeX XMLCite \textit{V. Simoncini} and \textit{E. Gallopoulos}, SIAM J. Sci. Comput. 16, No. 4, 917--933 (1995; Zbl 0831.65037) Full Text: DOI Link
Chan, T. F.; Gallopoulos, E.; Simoncini, V.; Szeto, T.; Tong, C. H. A quasi-minimal residual variant of the Bi-CGSTAB algorithm for nonsymmetric systems. (English) Zbl 0803.65038 SIAM J. Sci. Comput. 15, No. 2, 338-347 (1994). Reviewer: C.He (Chemnitz) MSC: 65F10 65F50 PDFBibTeX XMLCite \textit{T. F. Chan} et al., SIAM J. Sci. Comput. 15, No. 2, 338--347 (1994; Zbl 0803.65038) Full Text: DOI Link