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ORCIDValeria Simoncini
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- affiliation: University of Bologna, Italy
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2020 – today
- 2024
[j74]Alessandro Russo, Luciano Lopez, Valeria Simoncini:
Preface. Comput. Math. Appl. 166: 50 (2024)- [j73]Sijing Liu, Valeria Simoncini:
Multigrid Preconditioning for Discontinuous Galerkin Discretizations of an Elliptic Optimal Control Problem with a Convection-Dominated State Equation. J. Sci. Comput. 101(3): 79 (2024) - [i14]Sijing Liu, Valeria Simoncini:
Multigrid preconditioning for discontinuous Galerkin discretizations of an elliptic optimal control problem with a convection-dominated state equation. CoRR abs/2406.09276 (2024) - [i13]Jörn T. Zimmerling, Vladimir Druskin, Valeria Simoncini:
Monotonicity, bounds and extrapolation of Block-Gauss and Gauss-Radau quadrature for computing BT φ (A) B. CoRR abs/2407.21505 (2024) - 2023
- [j72]Alessandro Alla
, Dante Kalise, Valeria Simoncini:
State-dependent Riccati equation feedback stabilization for nonlinear PDEs. Adv. Comput. Math. 49(1): 9 (2023) - [j71]Valeria Simoncini, Yue Hao:
Analysis of the Truncated Conjugate Gradient Method for Linear Matrix Equations. SIAM J. Matrix Anal. Appl. 44(1): 359-381 (2023) - [i12]Davide Palitta, Marcel Schweitzer, Valeria Simoncini:
Sketched and truncated polynomial Krylov methods: Evaluation of matrix functions. CoRR abs/2306.06481 (2023) - [i11]Stefania Bellavia, Davide Palitta, Margherita Porcelli, Valeria Simoncini:
Regularized methods via cubic subspace minimization for nonconvex optimization. CoRR abs/2306.14290 (2023) - [i10]Davide Palitta, Marcel Schweitzer, Valeria Simoncini:
Sketched and Truncated Polynomial Krylov Subspace Methods: Matrix Equations. CoRR abs/2311.16019 (2023) - 2022
- [j70]Davide Palitta, Stefano Pozza, Valeria Simoncini:
The Short-Term Rational Lanczos Method and Applications. SIAM J. Sci. Comput. 44(4): 2843- (2022) - [i9]Margherita Porcelli, Valeria Simoncini:
Numerical solution of a class of quasi-linear matrix equations. CoRR abs/2209.00897 (2022) - 2021
- [j69]Yue Hao, Valeria Simoncini:
Matrix equation solving of PDEs in polygonal domains using conformal mappings. J. Num. Math. 29(3): 221-244 (2021) - [j68]Yue Hao, Valeria Simoncini:
The Sherman-Morrison-Woodbury formula for generalized linear matrix equations and applications. Numer. Linear Algebra Appl. 28(5) (2021) - [j67]Stefano Pozza, Valeria Simoncini:
Functions of rational Krylov space matrices and their decay properties. Numerische Mathematik 148(1): 99-126 (2021) - [j66]Alexandra Bünger, Valeria Simoncini, Martin Stoll:
A Low-Rank Matrix Equation Method for Solving PDE-Constrained Optimization Problems. SIAM J. Sci. Comput. 43(5): S637-S654 (2021) - [i8]Davide Palitta, Stefano Pozza, Valeria Simoncini:
The Short-term Rational Lanczos Method and Applications. CoRR abs/2103.04054 (2021) - [i7]Alessandro Alla, Dante Kalise, Valeria Simoncini:
State-dependent Riccati equation feedback stabilization for nonlinear PDEs. CoRR abs/2106.07163 (2021) - [i6]Domitilla Brandoni, Margherita Porcelli, Valeria Simoncini:
A Tensor-Train Dictionary Learning algorithm based on Spectral Proximal Alternating Linearized Minimization. CoRR abs/2107.11644 (2021) - [i5]Julian Henning, Davide Palitta, Valeria Simoncini, Karsten Urban:
Very Weak Space-Time Variational Formulation for the Wave Equation: Analysis and Efficient Numerical Solution. CoRR abs/2107.12119 (2021) - 2020
- [j65]Maria Chiara D'Autilia, Ivonne Sgura, Valeria Simoncini:
Matrix-oriented discretization methods for reaction-diffusion PDEs: Comparisons and applications. Comput. Math. Appl. 79(7): 2067-2085 (2020) - [j64]Nicholas I. M. Gould, Valeria Simoncini:
Error estimates for iterative algorithms for minimizing regularized quadratic subproblems. Optim. Methods Softw. 35(2): 304-328 (2020) - [j63]Gerhard Kirsten, Valeria Simoncini:
Order Reduction Methods for Solving Large-Scale Differential Matrix Riccati Equations. SIAM J. Sci. Comput. 42(4): A2182-A2205 (2020) - [i4]Alexandra Bünger, Valeria Simoncini, Martin Stoll:
A low-rank matrix equation method for solving PDE-constrained optimization problems. CoRR abs/2005.14499 (2020) - [i3]Gerhard Kirsten, Valeria Simoncini:
A matrix-oriented POD-DEIM algorithm applied to nonlinear differential matrix equations. CoRR abs/2006.13289 (2020)
2010 – 2019
- 2019
- [j62]Giulia Sacchi, Valeria Simoncini:
A GMRES Convergence Analysis for Localized Invariant Subspace Ill-Conditioning. SIAM J. Matrix Anal. Appl. 40(2): 542-563 (2019) - [c4]Julian Henning, Davide Palitta, Valeria Simoncini, Karsten Urban:
Matrix Oriented Reduction of Space-Time Petrov-Galerkin Variational Problems. ENUMATH 2019: 1049-1057 - [i2]Davide Palitta, Valeria Simoncini:
Optimality properties of Galerkin and Petrov-Galerkin methods for linear matrix equations. CoRR abs/1908.06016 (2019) - [i1]Julian Henning, Davide Palitta, Valeria Simoncini, Karsten Urban:
Matrix oriented reduction of space-time Petrov-Galerkin variational problems. CoRR abs/1912.10082 (2019) - 2018
- [j61]Davide Palitta, Valeria Simoncini:
Computationally enhanced projection methods for symmetric Sylvester and Lyapunov matrix equations. J. Comput. Appl. Math. 330: 648-659 (2018) - [j60]Peter Benner, Heike Faßbender, Lars Grasedyck, Daniel Kressner, Beatrice Meini, Valeria Simoncini:
7th Workshop on Matrix Equations and Tensor Techniques. Numer. Linear Algebra Appl. 25(6) (2018) - [j59]Davide Palitta, Valeria Simoncini:
Numerical Methods for Large-Scale Lyapunov Equations with Symmetric Banded Data. SIAM J. Sci. Comput. 40(5): A3581-A3608 (2018) - 2017
- [j58]Margherita Porcelli, Valeria Simoncini, Martin Stoll:
Preconditioning PDE-constrained optimization with L1-sparsity and control constraints. Comput. Math. Appl. 74(5): 1059-1075 (2017) - [j57]Benedetta Morini, Valeria Simoncini, Mattia Tani:
A comparison of reduced and unreduced KKT systems arising from interior point methods. Comput. Optim. Appl. 68(1): 1-27 (2017) - [j56]Benedetta Morini, Valeria Simoncini:
Stability and Accuracy of Inexact Interior Point Methods for Convex Quadratic Programming. J. Optim. Theory Appl. 175(2): 450-477 (2017) - [j55]Michele Benzi, Valeria Simoncini:
Approximation of functions of large matrices with Kronecker structure. Numerische Mathematik 135(1): 1-26 (2017) - [j54]Catherine Elizabeth Powell, David J. Silvester, Valeria Simoncini:
An Efficient Reduced Basis Solver for Stochastic Galerkin Matrix Equations. SIAM J. Sci. Comput. 39(1) (2017) - 2016
- [j53]Froilán M. Dopico, Javier González, Daniel Kressner, Valeria Simoncini:
Projection methods for large-scale T-Sylvester equations. Math. Comput. 85(301): 2427-2455 (2016) - [j52]Benedetta Morini, Valeria Simoncini, Mattia Tani:
Spectral estimates for unreduced symmetric KKT systems arising from Interior Point methods. Numer. Linear Algebra Appl. 23(5): 776-800 (2016) - [j51]Stephen D. Shank, Valeria Simoncini, Daniel B. Szyld:
Efficient low-rank solution of generalized Lyapunov equations. Numerische Mathematik 134(2): 327-342 (2016) - [j50]Valeria Simoncini:
Analysis of the Rational Krylov Subspace Projection Method for Large-Scale Algebraic Riccati Equations. SIAM J. Matrix Anal. Appl. 37(4): 1655-1674 (2016) - [j49]Valeria Simoncini:
Computational Methods for Linear Matrix Equations. SIAM Rev. 58(3): 377-441 (2016) - 2015
- [j48]Claudio Canuto, Valeria Simoncini, Marco Verani:
Contraction and Optimality Properties of an Adaptive Legendre-Galerkin Method: The Multi-Dimensional Case. J. Sci. Comput. 63(3): 769-798 (2015) - [j47]Yiding Lin, Valeria Simoncini:
A new subspace iteration method for the algebraic Riccati equation. Numer. Linear Algebra Appl. 22(1): 26-47 (2015) - [j46]Michele Benzi, Valeria Simoncini:
Decay Bounds for Functions of Hermitian Matrices with Banded or Kronecker Structure. SIAM J. Matrix Anal. Appl. 36(3): 1263-1282 (2015) - [j45]Margherita Porcelli, Valeria Simoncini, Mattia Tani:
Preconditioning of Active-Set Newton Methods for PDE-constrained Optimal Control Problems. SIAM J. Sci. Comput. 37(5) (2015) - 2014
- [j44]Vladimir Druskin, Valeria Simoncini, Mikhail Zaslavsky:
Adaptive Tangential Interpolation in Rational Krylov Subspaces for MIMO Dynamical Systems. SIAM J. Matrix Anal. Appl. 35(2): 476-498 (2014) - 2013
- [j43]Wolfgang Krendl, Valeria Simoncini, Walter Zulehner:
Stability estimates and structural spectral properties of saddle point problems. Numerische Mathematik 124(1): 183-213 (2013) - [j42]Stephen D. Shank, Valeria Simoncini:
Krylov Subspace Methods for Large-Scale Constrained Sylvester Equations. SIAM J. Matrix Anal. Appl. 34(4): 1448-1463 (2013) - [j41]Vladimir Druskin, Valeria Simoncini, Mikhail Zaslavsky:
Solution of the Time-Domain Inverse Resistivity Problem in the Model Reduction Framework Part I. One-Dimensional Problem with SISO Data. SIAM J. Sci. Comput. 35(3) (2013) - [c3]Wolfgang Krendl, Valeria Simoncini, Walter Zulehner:
Efficient Preconditioning for an Optimal Control Problem with the Time-Periodic Stokes Equations. ENUMATH 2013: 479-487 - 2012
- [j40]Valeria Simoncini:
Reduced order solution of structured linear systems arising in certain PDE-constrained optimization problems. Comput. Optim. Appl. 53(2): 591-617 (2012) - [j39]Lars Eldén, Valeria Simoncini:
Solving Ill-Posed Linear Systems with GMRES and a Singular Preconditioner. SIAM J. Matrix Anal. Appl. 33(4): 1369-1394 (2012) - 2011
- [j38]Leonid Knizhnerman, Valeria Simoncini:
Convergence analysis of the extended Krylov subspace method for the Lyapunov equation. Numerische Mathematik 118(3): 567-586 (2011) - [j37]Vladimir Druskin, Valeria Simoncini:
Adaptive rational Krylov subspaces for large-scale dynamical systems. Syst. Control. Lett. 60(8): 546-560 (2011) - [j36]Vladimir Druskin, Leonid Knizhnerman, Valeria Simoncini:
Analysis of the Rational Krylov Subspace and ADI Methods for Solving the Lyapunov Equation. SIAM J. Numer. Anal. 49(5): 1875-1898 (2011) - [j35]Micol Pennacchio, Valeria Simoncini:
Fast Structured AMG Preconditioning for the Bidomain Model in Electrocardiology. SIAM J. Sci. Comput. 33(2): 721-745 (2011) - [j34]David J. Silvester, Valeria Simoncini:
An Optimal Iterative Solver for Symmetric Indefinite Systems Stemming from Mixed Approximation. ACM Trans. Math. Softw. 37(4): 42:1-42:22 (2011) - 2010
- [j33]Leonid Knizhnerman, Valeria Simoncini:
A new investigation of the extended Krylov subspace method for matrix function evaluations. Numer. Linear Algebra Appl. 17(4): 615-638 (2010) - [j32]Michele Benzi, Luis Ferragut, Micol Pennacchio, Valeria Simoncini:
Solution of linear systems from an optimal control problem arising in wind simulation. Numer. Linear Algebra Appl. 17(6): 895-915 (2010) - [j31]Maxim A. Olshanskii, Valeria Simoncini:
Acquired Clustering Properties and Solution of Certain Saddle Point Systems. SIAM J. Matrix Anal. Appl. 31(5): 2754-2768 (2010) - [j30]Valeria Simoncini, Daniel B. Szyld:
Interpreting IDR as a Petrov--Galerkin Method. SIAM J. Sci. Comput. 32(4): 1898-1912 (2010)
2000 – 2009
- 2009
- [j29]Nicholas I. M. Gould, Valeria Simoncini:
Spectral Analysis of Saddle Point Matrices with Indefinite Leading Blocks. SIAM J. Matrix Anal. Appl. 31(3): 1152-1171 (2009) - [j28]Valeria Simoncini, Vladimir Druskin:
Convergence Analysis of Projection Methods for the Numerical Solution of Large Lyapunov Equations. SIAM J. Numer. Anal. 47(2): 828-843 (2009) - 2008
- [j27]Micol Pennacchio, Valeria Simoncini:
Substructuring Preconditioners for Mortar Discretization of a Degenerate Evolution Problem. J. Sci. Comput. 36(3): 391-419 (2008) - [j26]Valeria Simoncini, Daniel B. Szyld:
New conditions for non-stagnation of minimal residual methods. Numerische Mathematik 109(3): 477-487 (2008) - [j25]Marina Popolizio, Valeria Simoncini:
Acceleration Techniques for Approximating the Matrix Exponential Operator. SIAM J. Matrix Anal. Appl. 30(2): 657-683 (2008) - [j24]Andreas Frommer, Valeria Simoncini:
Stopping Criteria for Rational Matrix Functions of Hermitian and Symmetric Matrices. SIAM J. Sci. Comput. 30(3): 1387-1412 (2008) - [c2]Andreas Frommer, Valeria Simoncini:
Error Bounds for Lanczos Approximations of Rational Functions of Matrices. Numerical Validation in Current Hardware Architectures 2008: 203-216 - 2007
- [j23]Valeria Simoncini, Daniel B. Szyld:
Recent computational developments in Krylov subspace methods for linear systems. Numer. Linear Algebra Appl. 14(1): 1-59 (2007) - [j22]Valeria Simoncini:
A New Iterative Method for Solving Large-Scale Lyapunov Matrix Equations. SIAM J. Sci. Comput. 29(3): 1268-1288 (2007) - 2006
- [j21]Michele Benzi, Valeria Simoncini:
On the eigenvalues of a class of saddle point matrices. Numerische Mathematik 103(2): 173-196 (2006) - [j20]Luciano Lopez, Valeria Simoncini:
Analysis of Projection Methods for Rational Function Approximation to the Matrix Exponential. SIAM J. Numer. Anal. 44(2): 613-635 (2006) - 2005
- [j19]Guiding Gu, Valeria Simoncini:
Numerical solution of parameter-dependent linear systems. Numer. Linear Algebra Appl. 12(9): 923-940 (2005) - [j18]Valeria Simoncini, Daniel B. Szyld:
The effect of non-optimal bases on the convergence of Krylov subspace methods. Numerische Mathematik 100(4): 711-733 (2005) - [j17]Valeria Simoncini:
Variable Accuracy of Matrix-Vector Products in Projection Methods for Eigencomputation. SIAM J. Numer. Anal. 43(3): 1155-1174 (2005) - [j16]Valeria Simoncini, Daniel B. Szyld:
On the Occurrence of Superlinear Convergence of Exact and Inexact Krylov Subspace Methods. SIAM Rev. 47(2): 247-272 (2005) - 2004
- [j15]Valeria Simoncini, Michele Benzi:
Spectral Properties of the Hermitian and Skew-Hermitian Splitting Preconditioner for Saddle Point Problems. SIAM J. Matrix Anal. Appl. 26(2): 377-389 (2004) - 2003
- [j14]Valeria Simoncini:
Algebraic formulations for the solution of the nullspace-free eigenvalue problem using the inexact Shift-and-Invert Lanczos method. Numer. Linear Algebra Appl. 10(4): 357-375 (2003) - [j13]Valeria Simoncini, Daniel B. Szyld:
Theory of Inexact Krylov Subspace Methods and Applications to Scientific Computing. SIAM J. Sci. Comput. 25(2): 454-477 (2003) - 2002
- [j12]Miroslav Rozlozník, Valeria Simoncini:
Krylov Subspace Methods for Saddle Point Problems with Indefinite Preconditioning. SIAM J. Matrix Anal. Appl. 24(2): 368-391 (2002) - [j11]Valeria Simoncini, Daniel B. Szyld:
Flexible Inner-Outer Krylov Subspace Methods. SIAM J. Numer. Anal. 40(6): 2219-2239 (2002) - [j10]Valeria Simoncini, Federico Perotti:
On the Numerical Solution of (λ2 A + λ B + C), x = b and Application to Structural Dynamics. SIAM J. Sci. Comput. 23(6): 1875-1897 (2002) - [c1]Constantine Bekas, Effrosini Kokiopoulou, Efstratios Gallopoulos, Valeria Simoncini:
Parallel Computation of Pseudospectra Using Transfer Functions on a MATLAB-MPI Cluster Platform. PVM/MPI 2002: 199-207 - 2000
- [j9]Ilaria Perugia, Valeria Simoncini:
Block-diagonal and indefinite symmetric preconditioners for mixed finite element formulations. Numer. Linear Algebra Appl. 7(7-8): 585-616 (2000) - [j8]Valeria Simoncini:
On the Convergence of Restarted Krylov Subspace Methods. SIAM J. Matrix Anal. Appl. 22(2): 430-452 (2000)
1990 – 1999
- 1999
- [j7]Valeria Simoncini:
A new variant of restarted GMRES. Numer. Linear Algebra Appl. 6(1): 61-77 (1999) - [j6]Ilaria Perugia, Valeria Simoncini, Mario Arioli:
Linear Algebra Methods in a Mixed Approximation of Magnetostatic Problems. SIAM J. Sci. Comput. 21(3): 1085-1101 (1999) - 1998
- [j5]Valeria Simoncini:
A matrix analysis of Arnoldi and Lanczos methods. Numerische Mathematik 81(1): 125-141 (1998) - 1997
- [j4]Valeria Simoncini, Eva Sjöström:
An algorithm for approximating the singular triplets of complex symmetric matrices. Numer. Linear Algebra Appl. 4(6): 469-489 (1997) - [j3]Valeria Simoncini:
A Stabilized QMR Version of Block BiCG. SIAM J. Matrix Anal. Appl. 18(2): 419-434 (1997) - 1995
- [j2]Valeria Simoncini, Efstratios Gallopoulos:
An Iterative Method for Nonsymmetric Systems with Multiple Right-Hand Sides. SIAM J. Sci. Comput. 16(4): 917-933 (1995) - 1994
- [j1]Tony F. Chan, Efstratios Gallopoulos, Valeria Simoncini, Tedd Szeto, Charles H. Tong:
A Quasi-Minimal Residual Variant of the Bi-CGSTAB Algorithm for Nonsymmetric Systems. SIAM J. Sci. Comput. 15(2): 338-347 (1994)
Coauthor Index
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