Valeria Simoncini
Università degli Studi di Bologna
Publications
2023, Journal article
Numerical solution of a class of quasi-linear matrix equations
Porcelli M.; Simoncini V.
Given the matrix equation AX + XB + f (X)C = D in the unknown n * m matrix X, we analyze existence and uniqueness conditions, together with computational solution strategies for [...] being a linear o...
CNR@IRIS | DOI: 10.1016/j.laa.2023.01.024
2019, Journal article
Error estimates for iterative algorithms for minimizing regularized quadratic subproblems
N.I. Gould and V. Simoncini
We derive bounds for the objective errors and gradient residuals when finding approximations to the solution of common regularized quadratic optimization problems within evolving Krylov spaces. These ...
CNR@IRIS | DOI: 10.1080/10556788.2019.1670177
2019, Journal article
Inexact Arnoldi residual estimates and decay properties for functions of non-Hermitian matrices
Pozza S.; Simoncini V.
This paper derives a priori residual-type bounds for the Arnoldi approximation of a matrix function together with a strategy for setting the iteration accuracies in the inexact Arnoldi approximation o...
CNR@IRIS | DOI: 10.1007/s10543-019-00763-6
2018, Journal article
Computationally enhanced projection methods for symmetric Sylvester and Lyapunov matrix equations
D. Palitta and V. Simoncini
In the numerical treatment of large-scale Sylvester and Lyapunov equations, projection methods require solving a reduced problem to check convergence. As the approximation space expands, this solution...
CNR@IRIS | DOI: 10.1016/j.cam.2017.08.011
2017, Journal article
An efficient reduced basis solver for stochastic Galerkin matrix equations
C.E. Powell, D. Silvester, and V. Simoncini
Stochastic Galerkin finite element approximation of PDEs with random inputs leads to linear systems of equations with coefficient matrices that have a characteristic Kronecker product structure. By re...
CNR@IRIS | DOI: 10.1137/15M1032399
2017, Journal article
Approximating the leading singular triplets of a matrix function
S.W. Gaaf and V. Simoncini
Given a large square matrix A and a sufficiently regular function f so that f(A) iswell defined, we are interested in the approximation of the leading singular values and correspondingsingular vectors...
CNR@IRIS | DOI: 10.1016/j.apnum.2016.10.015
2017, Journal article
Approximation of functions of large matrices with Kronecker structure
M. Benzi and V. Simoncini
We consider the numerical approximation of $f({cal A})b$ where $bin{mathbb R}^{N}$ and $cal A$ is the sum of Kronecker products, that is ${cal A}=M_2 otimes I + I otimes M_1in{mathbb R}^{N imes N}$. H...
CNR@IRIS | DOI: 10.1007/s00211-016-0799-9
2017, Journal article
Stability and accuracy of inexact interior point methods for convex quadratic programming
B. Morini and V. Simoncini
We consider primal-dual interior point methods where the linear system arising at each iteration is formulated in the reduced (augmented) form and solved approximately. Focusing on the iterates close ...
CNR@IRIS | DOI: 10.1007/s10957-017-1170-8
2016, Journal article
Analysis of the rational Krylov subspace projection method for large-scale algebraic Riccati equations
V. Simoncini
In the numerical solution of the algebraic Riccati equation $A^* X + X A - X BB^* X + C^* C =0$, where $A$ is large, sparse, and stable, and $B$, $C$ have low rank, projection methods have recently em...
CNR@IRIS | DOI: 10.1137/16M1059382
2016, Journal article
Computational methods for linear matrix equations
V. Simoncini
Given the square matrices A, B, D, E and the matrix C of conforming dimensions, we consider the linear matrix equation AXE + DXB = C in the unknown matrix X. Our aim is to provide an overview of the m...
CNR@IRIS | DOI: 10.1137/130912839
2016, Journal article
Efficient low-rank solution of generalized Lyapunov equations
S.D. Shank, V. Simoncini, and D.B. Szyld
An iterative method for the low-rank approximate solution of a class of generalized Lyapunov equations is studied. At each iteration, a standard Lyapunov equation is solved using Galerkin projection w...
CNR@IRIS | DOI: 10.1007/s00211-015-0777-7
2016, Journal article
Low-rank solvers for fractional differential equations
T. Breiten, V. Simoncini, and M. Stoll
Many problems in science and technology can be cast using differential equations with both fractional time and spatial derivatives. To accurately simulate natural phenomena using this technology, fine...
CNR@IRIS | Link
2016, Journal article
Matrix-equation-based strategies for convection-diffusion equations
D. Palitta and V. Simoncini
We are interested in the numerical solution of nonsymmetric linear systems arising from the discretization of convection-diffusion partial differential equations with separable coefficients, dominant ...
CNR@IRIS | DOI: 10.1007/s10543-015-0575-8
2016, Journal article
Spectral estimates for unreduced symmetric KKT systems arising from Interior Point methods
B. Morini, V. Simoncini, and M. Tani
We consider symmetrized Karush-Kuhn-Tucker systems arising in the solution of convex quadratic programming problems in standard form by Interior Point methods. Their coefficient matrices usually have ...
CNR@IRIS | DOI: 10.1002/nla.2054
2011, Journal article
Dynamics of actively regulated gene networks
L. Ironi, L. Panzeri, E. Plahte, and V. Simoncini
A popular way of modelling gene regulatory networks is to design the models as if the genes were acting directly on each other. Genes are activated or inhibited by transcription factors which are dire...
CNR@IRIS | DOI: 10.1016/j.physd.2010.12.010
2011, Journal article
Fast structured AMG preconditioning for the bidomain model in electrocardiology
M. Pennacchio and V. Simoncini
The electrical activity of the heart may be modeled by a nonlinear system of partial differential equations known as the bidomain model. Due to the rapid variations in the electrical field, accurate s...
CNR@IRIS | DOI: 10.1137/100796364
2010, Journal article
Solution of linear systems from an optimal control problem arising in wind simulation
M. Benzi, L. Ferragut, M. Pennacchio, and V. Simoncini
Several solution strategies for a class of large, sparse linear systems with a block 2×2 structure arising from the finite element discretization of an optimal control problem in wind simulation are i...
CNR@IRIS | DOI: 10.1002/nla.679
2009, Journal article
A numerical solution of a Cauchy problem for an elliptic equation by Krylov subspaces
Elden L., Simoncini V.
N/A
CNR@IRIS
2009, Journal article
Algebraic multigrid preconditioners for the bidomain reaction-diffusion system
M. Pennacchio and V. Simoncini
The so-called bidomain system is possibly the most complete model for the cardiac bioelectric activity. It consists of a reaction-diffusion system, modeling the intra, extracellular and transmembrane ...
CNR@IRIS | DOI: 10.1016/j.apnum.2009.08.001
2009, Journal article
An implicitly-restarted Krylov subspace method for real symmetric/skew-symmetric eigenproblems
Mehrmann V., Schroeder C., Simoncini V.
N/A
CNR@IRIS
2009, Journal article
Convergence analysis of projection methods for the numerical solution of large Lyapunov equations
Druskin V., Simoncini V.
N/A
CNR@IRIS
2009, Journal article
Spectral analysis of saddle point matrices with indefinite leading blocks
Gould N.I.M., Simoncini V.
N/A
CNR@IRIS
2008, Journal article
Acceleration techniques for approximating the matrix exponential operator
Popolizio M., Simoncini V.
N/A
CNR@IRIS
2008, Journal article
New conditions for non-stagnation of minimal residual methods
Simoncini V., Szyld D.B.
N/A
CNR@IRIS
2008, Journal article
Stopping criteria for rational matrix functions of Hermitian and symmetric matrices
Frommer A., Simoncini V.
N/A
CNR@IRIS
2008, Journal article
Substructuring preconditioners for mortar discretization of a degenerate evolution problem
M. Pennacchio and V. Simoncini
In this paper we present new efficient variants of substructuring preconditioners for algebraic linear systems arising from the mortar discretization of a degenerate parabolic system of equations. The...
CNR@IRIS | DOI: 10.1007/s10915-008-9195-7
2007, Journal article
A new iterative method for solving large-scale Lyapunov matrix equations
Simoncini V.
N/A
CNR@IRIS
2007, Journal article
Recent computational developments in Krylov subspace methods for linear systems
Simoncini V., Szyld D.B.
N/A
CNR@IRIS
2006, Journal article
Analysis of projection methods for rational function approximation to the matrix exponential
Lopez L., Simoncini V.
N/A
CNR@IRIS
2006, Journal article
On the eigenvalues of a class of saddle point matrices
Benzi M., Simoncini V.
N/A
CNR@IRIS
2006, Journal article
Preserving geometric properties of the exponential matrix by block Krylov subspace methods
Lopez L., Simoncini V.
N/A
CNR@IRIS
2005, Journal article
Numerical solution of parameter-dependent linear systems
Gu G.D., Simoncini V.
N/A
CNR@IRIS
2005, Journal article
On the occurrence of superlinear convergence of exact and inexact Krylov subspace methods
Simoncini V., Szyld D.B.
N/A
CNR@IRIS
2005, Journal article
Relaxed Krylov subspace approximation
Simoncini V., Szyld D.B.
N/A
CNR@IRIS
2005, Journal article
The effect of non-optimal bases on the convergence of Krylov subspace methods
Simoncini V., Szyld D.B.
N/A
CNR@IRIS
2005, Journal article
Variable accuracy of matrix-vector products in projection methods for eigencomputation
Simoncini V.
N/A
CNR@IRIS
2004, Journal article
Block triangular preconditioners for symmetric saddle-point problems
Simoncini V.
N/A
CNR@IRIS
2004, Journal article
Spectral properties of the Hermitian and skew-Hermitian splitting preconditioner for saddle point problems
Simoncini V., Benzi M.
N/A
CNR@IRIS
2004, Journal article
The behavior of symmetric Krylov subspace methods for solving M x= (M - [gamma] I)v
V. Simoncini and M. Pennacchio
We analyze the behavior of Krylov subspace methods for the solution of the symmetric system Mx = (M - gammaI)upsilon when gamma is close to some of the extreme eigenvalues of M. We show that a stagnat...
CNR@IRIS | DOI: 10.1016/S0024-3795(03)00487-7
2003, Journal article
Algebraic formulations for the solution of the nullspace-free eigenvalue problem using the inexact shift-and-invert Lanczos method
Simoncini V.
Given the generalized symmetric eigenvalue problem $Ax=lambda Mx$, with A semidefinite and M definite, we analyze some algebraic formulations for the approximation of the smallest nonzero eigenpairs, ...
CNR@IRIS
2003, Journal article
Theory of inexact Krylov subspace methods and applications to scientific computing
Simoncini V., Szyld D.B.
We provide a general framework for the understanding of inexact Krylov subspace methods for the solution of symmetric and nonsymmetric linear systems of equations, as well as for certain eigenvalue ca...
CNR@IRIS
Numerical solution of a class of quasi-linear matrix equations
Porcelli M.; Simoncini V.
Given the matrix equation AX + XB + f (X)C = D in the unknown n * m matrix X, we analyze existence and uniqueness conditions, together with computational solution strategies for [...] being a linear o...
CNR@IRIS | DOI: 10.1016/j.laa.2023.01.024
2019, Journal article
Error estimates for iterative algorithms for minimizing regularized quadratic subproblems
N.I. Gould and V. Simoncini
We derive bounds for the objective errors and gradient residuals when finding approximations to the solution of common regularized quadratic optimization problems within evolving Krylov spaces. These ...
CNR@IRIS | DOI: 10.1080/10556788.2019.1670177
2019, Journal article
Inexact Arnoldi residual estimates and decay properties for functions of non-Hermitian matrices
Pozza S.; Simoncini V.
This paper derives a priori residual-type bounds for the Arnoldi approximation of a matrix function together with a strategy for setting the iteration accuracies in the inexact Arnoldi approximation o...
CNR@IRIS | DOI: 10.1007/s10543-019-00763-6
2018, Journal article
Computationally enhanced projection methods for symmetric Sylvester and Lyapunov matrix equations
D. Palitta and V. Simoncini
In the numerical treatment of large-scale Sylvester and Lyapunov equations, projection methods require solving a reduced problem to check convergence. As the approximation space expands, this solution...
CNR@IRIS | DOI: 10.1016/j.cam.2017.08.011
2017, Journal article
An efficient reduced basis solver for stochastic Galerkin matrix equations
C.E. Powell, D. Silvester, and V. Simoncini
Stochastic Galerkin finite element approximation of PDEs with random inputs leads to linear systems of equations with coefficient matrices that have a characteristic Kronecker product structure. By re...
CNR@IRIS | DOI: 10.1137/15M1032399
2017, Journal article
Approximating the leading singular triplets of a matrix function
S.W. Gaaf and V. Simoncini
Given a large square matrix A and a sufficiently regular function f so that f(A) iswell defined, we are interested in the approximation of the leading singular values and correspondingsingular vectors...
CNR@IRIS | DOI: 10.1016/j.apnum.2016.10.015
2017, Journal article
Approximation of functions of large matrices with Kronecker structure
M. Benzi and V. Simoncini
We consider the numerical approximation of $f({cal A})b$ where $bin{mathbb R}^{N}$ and $cal A$ is the sum of Kronecker products, that is ${cal A}=M_2 otimes I + I otimes M_1in{mathbb R}^{N imes N}$. H...
CNR@IRIS | DOI: 10.1007/s00211-016-0799-9
2017, Journal article
Stability and accuracy of inexact interior point methods for convex quadratic programming
B. Morini and V. Simoncini
We consider primal-dual interior point methods where the linear system arising at each iteration is formulated in the reduced (augmented) form and solved approximately. Focusing on the iterates close ...
CNR@IRIS | DOI: 10.1007/s10957-017-1170-8
2016, Journal article
Analysis of the rational Krylov subspace projection method for large-scale algebraic Riccati equations
V. Simoncini
In the numerical solution of the algebraic Riccati equation $A^* X + X A - X BB^* X + C^* C =0$, where $A$ is large, sparse, and stable, and $B$, $C$ have low rank, projection methods have recently em...
CNR@IRIS | DOI: 10.1137/16M1059382
2016, Journal article
Computational methods for linear matrix equations
V. Simoncini
Given the square matrices A, B, D, E and the matrix C of conforming dimensions, we consider the linear matrix equation AXE + DXB = C in the unknown matrix X. Our aim is to provide an overview of the m...
CNR@IRIS | DOI: 10.1137/130912839
2016, Journal article
Efficient low-rank solution of generalized Lyapunov equations
S.D. Shank, V. Simoncini, and D.B. Szyld
An iterative method for the low-rank approximate solution of a class of generalized Lyapunov equations is studied. At each iteration, a standard Lyapunov equation is solved using Galerkin projection w...
CNR@IRIS | DOI: 10.1007/s00211-015-0777-7
2016, Journal article
Low-rank solvers for fractional differential equations
T. Breiten, V. Simoncini, and M. Stoll
Many problems in science and technology can be cast using differential equations with both fractional time and spatial derivatives. To accurately simulate natural phenomena using this technology, fine...
CNR@IRIS | Link
2016, Journal article
Matrix-equation-based strategies for convection-diffusion equations
D. Palitta and V. Simoncini
We are interested in the numerical solution of nonsymmetric linear systems arising from the discretization of convection-diffusion partial differential equations with separable coefficients, dominant ...
CNR@IRIS | DOI: 10.1007/s10543-015-0575-8
2016, Journal article
Spectral estimates for unreduced symmetric KKT systems arising from Interior Point methods
B. Morini, V. Simoncini, and M. Tani
We consider symmetrized Karush-Kuhn-Tucker systems arising in the solution of convex quadratic programming problems in standard form by Interior Point methods. Their coefficient matrices usually have ...
CNR@IRIS | DOI: 10.1002/nla.2054
2011, Journal article
Dynamics of actively regulated gene networks
L. Ironi, L. Panzeri, E. Plahte, and V. Simoncini
A popular way of modelling gene regulatory networks is to design the models as if the genes were acting directly on each other. Genes are activated or inhibited by transcription factors which are dire...
CNR@IRIS | DOI: 10.1016/j.physd.2010.12.010
2011, Journal article
Fast structured AMG preconditioning for the bidomain model in electrocardiology
M. Pennacchio and V. Simoncini
The electrical activity of the heart may be modeled by a nonlinear system of partial differential equations known as the bidomain model. Due to the rapid variations in the electrical field, accurate s...
CNR@IRIS | DOI: 10.1137/100796364
2010, Journal article
Solution of linear systems from an optimal control problem arising in wind simulation
M. Benzi, L. Ferragut, M. Pennacchio, and V. Simoncini
Several solution strategies for a class of large, sparse linear systems with a block 2×2 structure arising from the finite element discretization of an optimal control problem in wind simulation are i...
CNR@IRIS | DOI: 10.1002/nla.679
2009, Journal article
A numerical solution of a Cauchy problem for an elliptic equation by Krylov subspaces
Elden L., Simoncini V.
N/A
CNR@IRIS
2009, Journal article
Algebraic multigrid preconditioners for the bidomain reaction-diffusion system
M. Pennacchio and V. Simoncini
The so-called bidomain system is possibly the most complete model for the cardiac bioelectric activity. It consists of a reaction-diffusion system, modeling the intra, extracellular and transmembrane ...
CNR@IRIS | DOI: 10.1016/j.apnum.2009.08.001
2009, Journal article
An implicitly-restarted Krylov subspace method for real symmetric/skew-symmetric eigenproblems
Mehrmann V., Schroeder C., Simoncini V.
N/A
CNR@IRIS
2009, Journal article
Convergence analysis of projection methods for the numerical solution of large Lyapunov equations
Druskin V., Simoncini V.
N/A
CNR@IRIS
2009, Journal article
Spectral analysis of saddle point matrices with indefinite leading blocks
Gould N.I.M., Simoncini V.
N/A
CNR@IRIS
2008, Journal article
Acceleration techniques for approximating the matrix exponential operator
Popolizio M., Simoncini V.
N/A
CNR@IRIS
2008, Journal article
New conditions for non-stagnation of minimal residual methods
Simoncini V., Szyld D.B.
N/A
CNR@IRIS
2008, Journal article
Stopping criteria for rational matrix functions of Hermitian and symmetric matrices
Frommer A., Simoncini V.
N/A
CNR@IRIS
2008, Journal article
Substructuring preconditioners for mortar discretization of a degenerate evolution problem
M. Pennacchio and V. Simoncini
In this paper we present new efficient variants of substructuring preconditioners for algebraic linear systems arising from the mortar discretization of a degenerate parabolic system of equations. The...
CNR@IRIS | DOI: 10.1007/s10915-008-9195-7
2007, Journal article
A new iterative method for solving large-scale Lyapunov matrix equations
Simoncini V.
N/A
CNR@IRIS
2007, Journal article
Recent computational developments in Krylov subspace methods for linear systems
Simoncini V., Szyld D.B.
N/A
CNR@IRIS
2006, Journal article
Analysis of projection methods for rational function approximation to the matrix exponential
Lopez L., Simoncini V.
N/A
CNR@IRIS
2006, Journal article
On the eigenvalues of a class of saddle point matrices
Benzi M., Simoncini V.
N/A
CNR@IRIS
2006, Journal article
Preserving geometric properties of the exponential matrix by block Krylov subspace methods
Lopez L., Simoncini V.
N/A
CNR@IRIS
2005, Journal article
Numerical solution of parameter-dependent linear systems
Gu G.D., Simoncini V.
N/A
CNR@IRIS
2005, Journal article
On the occurrence of superlinear convergence of exact and inexact Krylov subspace methods
Simoncini V., Szyld D.B.
N/A
CNR@IRIS
2005, Journal article
Relaxed Krylov subspace approximation
Simoncini V., Szyld D.B.
N/A
CNR@IRIS
2005, Journal article
The effect of non-optimal bases on the convergence of Krylov subspace methods
Simoncini V., Szyld D.B.
N/A
CNR@IRIS
2005, Journal article
Variable accuracy of matrix-vector products in projection methods for eigencomputation
Simoncini V.
N/A
CNR@IRIS
2004, Journal article
Block triangular preconditioners for symmetric saddle-point problems
Simoncini V.
N/A
CNR@IRIS
2004, Journal article
Spectral properties of the Hermitian and skew-Hermitian splitting preconditioner for saddle point problems
Simoncini V., Benzi M.
N/A
CNR@IRIS
2004, Journal article
The behavior of symmetric Krylov subspace methods for solving M x= (M - [gamma] I)v
V. Simoncini and M. Pennacchio
We analyze the behavior of Krylov subspace methods for the solution of the symmetric system Mx = (M - gammaI)upsilon when gamma is close to some of the extreme eigenvalues of M. We show that a stagnat...
CNR@IRIS | DOI: 10.1016/S0024-3795(03)00487-7
2003, Journal article
Algebraic formulations for the solution of the nullspace-free eigenvalue problem using the inexact shift-and-invert Lanczos method
Simoncini V.
Given the generalized symmetric eigenvalue problem $Ax=lambda Mx$, with A semidefinite and M definite, we analyze some algebraic formulations for the approximation of the smallest nonzero eigenpairs, ...
CNR@IRIS
2003, Journal article
Theory of inexact Krylov subspace methods and applications to scientific computing
Simoncini V., Szyld D.B.
We provide a general framework for the understanding of inexact Krylov subspace methods for the solution of symmetric and nonsymmetric linear systems of equations, as well as for certain eigenvalue ca...
CNR@IRIS
2009, Essay or book chapter
Error bounds for Lanczos approximations of rational functions of matrices
Frommer A., Simoncini V.
N/A
CNR@IRIS
2008, Essay or book chapter
Matrix functions
Frommer A., Simoncini V.
N/A
CNR@IRIS
Error bounds for Lanczos approximations of rational functions of matrices
Frommer A., Simoncini V.
N/A
CNR@IRIS
2008, Essay or book chapter
Matrix functions
Frommer A., Simoncini V.
N/A
CNR@IRIS
2010, Meeting abstracts
Algebraic multigrid preconditioners in computational electrocardiology
M. Pennacchio and V. Simoncini
N/A
CNR@IRIS
2010, Meeting abstracts
Efficient structured AMG preconditioners for the cardiac bidomain model in 3D
M. Pennacchio and V. Simoncini
N/A
CNR@IRIS
2010, Conference proceedings
Non-symmetric algebraic multigrid preconditioners for the bidomain reaction-diffusion system
M. Pennacchio and V. Simoncini
We deal with the efficient solution of the so-called bidomain system which is possibly the most complete model for the cardiac bioelectric activity. We study the performance of a non-symmetric structu...
CNR@IRIS | DOI: 10.1007/978-3-642-11795-4_78
2009, Conference proceedings
A numerical procedure for the dynamic response of tall building subject to turbulent wind excitation
Barbella G., Perotti F., Simoncini V.
N/A
CNR@IRIS
2008, Conference communications
Approssimazione di funzioni di matrici di grandi dimensioni ed applicazioni
Simoncini V.
N/A
CNR@IRIS
2008, Conference communications
Approximation of functions of large matrices: computational aspects and applications
Simoncini V.
N/A
CNR@IRIS
2008, Conference communications
Approximation of functions of large matrices: computational aspects and applications
Simoncini V.
N/A
CNR@IRIS
2008, Conference communications
Cimmino's method and the next generation of iterative solvers
Simoncini V.
N/A
CNR@IRIS
2008, Conference communications
Spectral properties of saddle point linear systems and relations to iterative solvers
Simoncini V.
N/A
CNR@IRIS
2008, Meeting abstracts
Substructuring preconditioners for mortar discretization of a degenerate evolution problem
M. Pennacchio and V. Simoncini
N/A
CNR@IRIS
2006, Conference proceedings
Substructuring preconditioners for the bidomain extracellular potential problem
M. Pennacchio and V. Simoncini
We study the efficient solution of the linear system arising from the discretization by the mortar method of mathematical models in electrocardiology. We focus on the bidomain extracellular potential ...
CNR@IRIS | DOI: 10.1007/978-3-540-34288-5_43
Algebraic multigrid preconditioners in computational electrocardiology
M. Pennacchio and V. Simoncini
N/A
CNR@IRIS
2010, Meeting abstracts
Efficient structured AMG preconditioners for the cardiac bidomain model in 3D
M. Pennacchio and V. Simoncini
N/A
CNR@IRIS
2010, Conference proceedings
Non-symmetric algebraic multigrid preconditioners for the bidomain reaction-diffusion system
M. Pennacchio and V. Simoncini
We deal with the efficient solution of the so-called bidomain system which is possibly the most complete model for the cardiac bioelectric activity. We study the performance of a non-symmetric structu...
CNR@IRIS | DOI: 10.1007/978-3-642-11795-4_78
2009, Conference proceedings
A numerical procedure for the dynamic response of tall building subject to turbulent wind excitation
Barbella G., Perotti F., Simoncini V.
N/A
CNR@IRIS
2008, Conference communications
Approssimazione di funzioni di matrici di grandi dimensioni ed applicazioni
Simoncini V.
N/A
CNR@IRIS
2008, Conference communications
Approximation of functions of large matrices: computational aspects and applications
Simoncini V.
N/A
CNR@IRIS
2008, Conference communications
Approximation of functions of large matrices: computational aspects and applications
Simoncini V.
N/A
CNR@IRIS
2008, Conference communications
Cimmino's method and the next generation of iterative solvers
Simoncini V.
N/A
CNR@IRIS
2008, Conference communications
Spectral properties of saddle point linear systems and relations to iterative solvers
Simoncini V.
N/A
CNR@IRIS
2008, Meeting abstracts
Substructuring preconditioners for mortar discretization of a degenerate evolution problem
M. Pennacchio and V. Simoncini
N/A
CNR@IRIS
2006, Conference proceedings
Substructuring preconditioners for the bidomain extracellular potential problem
M. Pennacchio and V. Simoncini
We study the efficient solution of the linear system arising from the discretization by the mortar method of mathematical models in electrocardiology. We focus on the bidomain extracellular potential ...
CNR@IRIS | DOI: 10.1007/978-3-540-34288-5_43
2015, Working paper
An Efficient Reduced Basis Solver for Stochastic Galerkin Matrix Equations
C.E. Powell, D. Silvester, V. Simoncini
Stochastic Galerkin finite element approximation of PDEs with random inputs leads to linear systemsof equations with coefficient matrices that have a characteristic Kronecker product structure. By ref...
CNR@IRIS | Link
2008, Technical report
Spectral analysis of saddle point matrices with indefinite leading blocks
Gould N., Simoncini V.
N/A
CNR@IRIS
2006, Working paper
Substructuring preconditioners for Mortar Discretization of a degenerate evolution problem
M. Pennacchio and V. Simoncini
In this paper we present new efficient variants of substructuring preconditioners for algebraic linear systems arising from the mortar discretization of a degenerate parabolic system of equations. The...
CNR@IRIS
An Efficient Reduced Basis Solver for Stochastic Galerkin Matrix Equations
C.E. Powell, D. Silvester, V. Simoncini
Stochastic Galerkin finite element approximation of PDEs with random inputs leads to linear systemsof equations with coefficient matrices that have a characteristic Kronecker product structure. By ref...
CNR@IRIS | Link
2008, Technical report
Spectral analysis of saddle point matrices with indefinite leading blocks
Gould N., Simoncini V.
N/A
CNR@IRIS
2006, Working paper
Substructuring preconditioners for Mortar Discretization of a degenerate evolution problem
M. Pennacchio and V. Simoncini
In this paper we present new efficient variants of substructuring preconditioners for algebraic linear systems arising from the mortar discretization of a degenerate parabolic system of equations. The...
CNR@IRIS
