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
Hao, Yue; Simoncini, Valeria Matrix equation solving of PDEs in polygonal domains using conformal mappings. (English) Zbl 1495.65199 J. Numer. Math. 29, No. 3, 221-244 (2021). Reviewer: Abdallah Bradji (Annaba) MSC: 65N22 65E10 65F10 65F40 35J25 30C30 15A24 PDFBibTeX XMLCite \textit{Y. Hao} and \textit{V. Simoncini}, J. Numer. Math. 29, No. 3, 221--244 (2021; Zbl 1495.65199) Full Text: DOI
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
Pozza, Stefano; Simoncini, Valeria Functions of rational Krylov space matrices and their decay properties. (English) Zbl 1470.65081 Numer. Math. 148, No. 1, 99-126 (2021). MSC: 65F60 65F25 41A20 PDFBibTeX XMLCite \textit{S. Pozza} and \textit{V. Simoncini}, Numer. Math. 148, No. 1, 99--126 (2021; Zbl 1470.65081) Full Text: DOI
Pozza, Stefano; Simoncini, Valeria Inexact Arnoldi residual estimates and decay properties for functions of non-Hermitian matrices. (English) Zbl 1434.65058 BIT 59, No. 4, 969-986 (2019). MSC: 65F60 PDFBibTeX XMLCite \textit{S. Pozza} and \textit{V. Simoncini}, BIT 59, No. 4, 969--986 (2019; Zbl 1434.65058) 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
Porcelli, Margherita; Simoncini, Valeria; Stoll, Martin Preconditioning PDE-constrained optimization with \(L^1\)-sparsity and control constraints. (English) Zbl 1393.49022 Comput. Math. Appl. 74, No. 5, 1059-1075 (2017). MSC: 49M25 35Q93 65N30 65N22 49K20 49M15 PDFBibTeX XMLCite \textit{M. Porcelli} et al., Comput. Math. Appl. 74, No. 5, 1059--1075 (2017; Zbl 1393.49022) Full Text: DOI arXiv
Morini, Benedetta; Simoncini, Valeria; Tani, Mattia A comparison of reduced and unreduced KKT systems arising from interior point methods. (English) Zbl 1406.90088 Comput. Optim. Appl. 68, No. 1, 1-27 (2017). MSC: 90C20 90C25 90C51 PDFBibTeX XMLCite \textit{B. Morini} et al., Comput. Optim. Appl. 68, No. 1, 1--27 (2017; Zbl 1406.90088) Full Text: DOI
Benzi, Michele; Simoncini, Valeria Approximation of functions of large matrices with Kronecker structure. (English) Zbl 1365.65134 Numer. Math. 135, No. 1, 1-26 (2017). Reviewer: Frank Uhlig (Auburn) MSC: 65F60 65F50 65D15 PDFBibTeX XMLCite \textit{M. Benzi} and \textit{V. Simoncini}, Numer. Math. 135, No. 1, 1--26 (2017; Zbl 1365.65134) Full Text: DOI arXiv
Gaaf, Sarah W.; Simoncini, Valeria Approximating the leading singular triplets of a large matrix function. (English) Zbl 1355.65062 Appl. Numer. Math. 113, 26-43 (2017). MSC: 65F60 15A18 65F20 PDFBibTeX XMLCite \textit{S. W. Gaaf} and \textit{V. Simoncini}, Appl. Numer. Math. 113, 26--43 (2017; Zbl 1355.65062) Full Text: DOI arXiv Link
Morini, Benedetta; Simoncini, Valeria; Tani, Mattia Spectral estimates for unreduced symmetric KKT systems arising from interior point methods. (English) Zbl 1413.65246 Numer. Linear Algebra Appl. 23, No. 5, 776-800 (2016). MSC: 65K05 90C20 90C51 65F08 PDFBibTeX XMLCite \textit{B. Morini} et al., Numer. Linear Algebra Appl. 23, No. 5, 776--800 (2016; Zbl 1413.65246) Full Text: DOI
Benzi, Michele; Simoncini, Valeria Decay bounds for functions of Hermitian matrices with banded or Kronecker structure. (English) Zbl 1323.15005 SIAM J. Matrix Anal. Appl. 36, No. 3, 1263-1282 (2015). MSC: 15A16 65F60 65F50 PDFBibTeX XMLCite \textit{M. Benzi} and \textit{V. Simoncini}, SIAM J. Matrix Anal. Appl. 36, No. 3, 1263--1282 (2015; Zbl 1323.15005) Full Text: DOI arXiv
Canuto, Claudio; Simoncini, Valeria; Verani, Marco Contraction and optimality properties of an adaptive Legendre-Galerkin method: the multi-dimensional case. (English) Zbl 1325.65151 J. Sci. Comput. 63, No. 3, 769-798 (2015). Reviewer: Ivan Secrieru (Chişinău) MSC: 65N30 65N15 35J25 PDFBibTeX XMLCite \textit{C. Canuto} et al., J. Sci. Comput. 63, No. 3, 769--798 (2015; Zbl 1325.65151) Full Text: DOI arXiv
Canuto, C.; Simoncini, V.; Verani, M. On the decay of the inverse of matrices that are sum of Kronecker products. (English) Zbl 1291.65144 Linear Algebra Appl. 452, 21-39 (2014). MSC: 65F50 15A09 PDFBibTeX XMLCite \textit{C. Canuto} et al., Linear Algebra Appl. 452, 21--39 (2014; Zbl 1291.65144) Full Text: DOI arXiv
Krendl, Wolfgang; Simoncini, Valeria; Zulehner, Walter Stability estimates and structural spectral properties of saddle point problems. (English) Zbl 1269.65032 Numer. Math. 124, No. 1, 183-213 (2013). Reviewer: Petr Tichý (Prague) MSC: 65F10 65F08 65N22 65K10 49K40 PDFBibTeX XMLCite \textit{W. Krendl} et al., Numer. Math. 124, No. 1, 183--213 (2013; Zbl 1269.65032) Full Text: DOI arXiv
Sesana, Debora; Simoncini, Valeria Spectral analysis of inexact constraint preconditioning for symmetric saddle point matrices. (English) Zbl 1263.65029 Linear Algebra Appl. 438, No. 6, 2683-2700 (2013). Reviewer: Adhemar Bultheel (Leuven) MSC: 65F08 65F10 65F50 PDFBibTeX XMLCite \textit{D. Sesana} and \textit{V. Simoncini}, Linear Algebra Appl. 438, No. 6, 2683--2700 (2013; Zbl 1263.65029) Full Text: DOI
Simoncini, V. Reduced order solution of structured linear systems arising in certain PDE-constrained optimization problems. (English) Zbl 1266.49061 Comput. Optim. Appl. 53, No. 2, 591-617 (2012). Reviewer: Igor Bock (Bratislava) MSC: 49M30 49K20 49M25 35J20 49Q20 PDFBibTeX XMLCite \textit{V. Simoncini}, Comput. Optim. Appl. 53, No. 2, 591--617 (2012; Zbl 1266.49061) Full Text: DOI
Mehrmann, Volker; Schröder, C.; Simoncini, Valeria An implicitly-restarted Krylov subspace method for real symmetric/skew-symmetric eigenproblems. (English) Zbl 1247.65050 Linear Algebra Appl. 436, No. 10, 4070-4087 (2012). Reviewer: Constantin Popa (Constanţa) MSC: 65F15 65F18 65F50 PDFBibTeX XMLCite \textit{V. Mehrmann} et al., Linear Algebra Appl. 436, No. 10, 4070--4087 (2012; Zbl 1247.65050) Full Text: DOI
Benzi, Michele; Ferragut, Luis; Pennacchio, Micol; Simoncini, Valeria Solution of linear systems from an optimal control problem arising in wind simulation. (English) Zbl 1240.65194 Numer. Linear Algebra Appl. 17, No. 6, 895-915 (2010). MSC: 65K10 65F10 65F08 65F05 49M30 65F50 76G25 76M10 49J20 PDFBibTeX XMLCite \textit{M. Benzi} et al., Numer. Linear Algebra Appl. 17, No. 6, 895--915 (2010; Zbl 1240.65194) Full Text: DOI Link
Simoncini, V. Extended Krylov subspace for parameter dependent systems. (English) Zbl 1190.65052 Appl. Numer. Math. 60, No. 5, 550-560 (2010). MSC: 65F10 65F30 15A24 PDFBibTeX XMLCite \textit{V. Simoncini}, Appl. Numer. Math. 60, No. 5, 550--560 (2010; Zbl 1190.65052) Full Text: DOI
Pennacchio, Micol; Simoncini, Valeria Algebraic multigrid preconditioners for the bidomain reaction-diffusion system. (English) Zbl 1171.92017 Appl. Numer. Math. 59, No. 12, 3033-3050 (2009). MSC: 92C30 92C05 35K57 37N25 34A34 PDFBibTeX XMLCite \textit{M. Pennacchio} and \textit{V. Simoncini}, Appl. Numer. Math. 59, No. 12, 3033--3050 (2009; Zbl 1171.92017) Full Text: DOI
Simoncini, Valeria; Szyld, Daniel B. New conditions for non-stagnation of minimal residual methods. (English) Zbl 1151.65026 Numer. Math. 109, No. 3, 477-487 (2008). Reviewer: Raffaella Pavani (Milano) MSC: 65F10 PDFBibTeX XMLCite \textit{V. Simoncini} and \textit{D. B. Szyld}, Numer. Math. 109, No. 3, 477--487 (2008; Zbl 1151.65026) Full Text: DOI
Benzi, Michele; Simoncini, Valeria On the eigenvalues of a class of saddle point matrices. (English) Zbl 1103.65033 Numer. Math. 103, No. 2, 173-196 (2006). Reviewer: Axel Ruhe (Stockholm) MSC: 65F10 65F35 65N06 35Q30 PDFBibTeX XMLCite \textit{M. Benzi} and \textit{V. Simoncini}, Numer. Math. 103, No. 2, 173--196 (2006; Zbl 1103.65033) Full Text: DOI