Valeria Simoncini

Valeria Simoncini's AcademicInfluence.com Rankings

Valeria Simoncini

Physics

#8125

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#10260

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Physics

Valeria Simoncini's Degrees

Bachelors Physics University of Bologna
Masters Physics University of Bologna
PhD Physics University of Milan

Why Is Valeria Simoncini Influential?

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According to Wikipedia, Valeria Simoncini is an Italian researcher in numerical analysis who works as a professor in the mathematics department at the University of Bologna. Her research involves the computational solution of equations involving large matrices, and their applications in scientific computing. She is the chair of the SIAM Activity Group on Linear Algebra.

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Valeria Simoncini's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Recent computational developments in Krylov subspace methods for linear systems (2007) (399)
A FAMILY OF MIMETIC FINITE DIFFERENCE METHODS ON POLYGONAL AND POLYHEDRAL MESHES (2005) (389)
Computational Methods for Linear Matrix Equations (2016) (376)
A New Iterative Method for Solving Large-Scale Lyapunov Matrix Equations (2007) (343)
Theory of Inexact Krylov Subspace Methods and Applications to Scientific Computing (2003) (267)
Adaptive rational Krylov subspaces for large-scale dynamical systems (2011) (187)
An Iterative Method for Nonsymmetric Systems with Multiple Right-Hand Sides (1995) (172)
Iterative system solvers for the frequency analysis of linear mechanical systems (2000) (160)
A new discretization methodology for diffusion problems on generalized polyhedral meshes (2007) (147)
A Guide to Empirical Orthogonal Functions for Climate Data Analysis (2010) (144)
Flexible Inner-Outer Krylov Subspace Methods (2002) (142)
Block--diagonal and indefinite symmetric preconditioners for mixed finite element formulations (1999) (136)
Convergence properties of block GMRES and matrix polynomials (1996) (133)
On the eigenvalues of a class of saddle point matrices (2006) (130)
Block triangular preconditioners for symmetric saddle-point problems (2004) (124)
Analysis of the Rational Krylov Subspace and ADI Methods for Solving the Lyapunov Equation (2011) (121)
A new investigation of the extended Krylov subspace method for matrix function evaluations (2009) (118)
A Quasi-Minimal Residual Variant of the Bi-CGSTAB Algorithm for Nonsymmetric Systems (1994) (118)
Krylov Subspace Methods for Saddle Point Problems with Indefinite Preconditioning (2002) (110)
Spectral Properties of the Hermitian and Skew-Hermitian Splitting Preconditioner for Saddle Point Problems (2005) (109)
Inexact Rayleigh Quotient-Type Methods for Eigenvalue Computations (2002) (109)
Block-diagonal and indefinite symmetric preconditioners for mixed finite element formulations (2000) (100)
Restarted Full Orthogonalization Method for Shifted Linear Systems (2003) (90)
Analysis of Projection Methods for Rational Function Approximation to the Matrix Exponential (2006) (88)
Efficient algebraic solution of reaction-diffusion systems for the cardiac excitation process (2002) (78)
Acceleration Techniques for Approximating the Matrix Exponential Operator (2008) (74)
MATRIX FUNCTIONS (2006) (74)
On two numerical methods for the solution of large-scale algebraic Riccati equations (2014) (69)
On the Occurrence of Superlinear Convergence of Exact and Inexact Krylov Subspace Methods (2005) (69)
Convergence analysis of the extended Krylov subspace method for the Lyapunov equation (2011) (61)
On the Numerical Solution of (λ2 A + λ B + C), x = b and Application to Structural Dynamics (2001) (60)
Algebraic multigrid preconditioners for the bidomain reaction--diffusion system (2009) (58)
A hybrid block GMRES method for nonsymmetric systems with multiple right-hand sides (1996) (54)
Interpreting IDR as a Petrov--Galerkin Method (2010) (53)
Dynamics of actively regulated gene networks (2011) (53)
Linear Algebra Methods in a Mixed Approximation of Magnetostatic Problems (1999) (51)
Analysis of the Rational Krylov Subspace Projection Method for Large-Scale Algebraic Riccati Equations (2016) (50)
A new subspace iteration method for the algebraic Riccati equation (2013) (50)
Stopping Criteria for Rational Matrix Functions of Hermitian and Symmetric Matrices (2008) (49)
Krylov subspace methods for projected Lyapunov equations (2012) (49)
Efficient low-rank solution of generalized Lyapunov equations (2016) (48)
Variable Accuracy of Matrix-Vector Products in Projection Methods for Eigencomputation (2005) (48)
Low-Rank Solvers for Fractional Differential Equations (2016) (47)
Stability estimates and structural spectral properties of saddle point problems (2012) (47)
Adaptive Tangential Interpolation in Rational Krylov Subspaces for MIMO Dynamical Systems (2014) (46)
On the numerical solution ofAX −XB =C (1996) (45)
Spectral Analysis of Saddle Point Matrices with Indefinite Leading Blocks (2009) (45)
Decay Bounds for Functions of Hermitian Matrices with Banded or Kronecker Structure (2015) (42)
Matrix-equation-based strategies for convection–diffusion equations (2015) (41)
Convergence Analysis of Projection Methods for the Numerical Solution of Large Lyapunov Equations (2009) (41)
An Efficient Reduced Basis Solver for Stochastic Galerkin Matrix Equations (2017) (40)
Preserving geometric properties of the exponential matrix by block Krylov subspace methods (2006) (39)
Basic Statistical Concepts (2010) (38)
A Stabilized QMR Version of Block BiCG (1997) (38)
Minimal residual methods for large scale Lyapunov equations (2013) (37)
On the decay of the inverse of matrices that are sum of Kronecker products (2013) (36)
An Optimal Iterative Solver for Symmetric Indefinite Systems Stemming from Mixed Approximation (2010) (36)
On the Convergence of Restarted Krylov Subspace Methods (2000) (35)
An implicitly-restarted Krylov subspace method for real symmetric/skew-symmetric eigenproblems (2012) (34)
Preconditioning of Active-Set Newton Methods for PDE-constrained Optimal Control Problems (2014) (33)
Fast Structured AMG Preconditioning for the Bidomain Model in Electrocardiology (2011) (32)
A numerical solution of a Cauchy problem for an elliptic equation by Krylov subspaces (2009) (29)
Extended Krylov subspace for parameter dependent systems (2010) (29)
Reduced order solution of structured linear systems arising in certain PDE-constrained optimization problems (2012) (28)
Approximation of functions of large matrices with Kronecker structure (2015) (27)
A comparison of reduced and unreduced KKT systems arising from interior point methods (2017) (26)
Solution of the Time-Domain Inverse Resistivity Problem in the Model Reduction Framework Part I. One-Dimensional Problem with SISO Data (2013) (25)
Spectral estimates for unreduced symmetric KKT systems arising from Interior Point methods (2016) (25)
The effect of non-optimal bases on the convergence of Krylov subspace methods (2005) (23)
Solving Ill-Posed Linear Systems with GMRES and a Singular Preconditioner (2012) (23)
Spectral analysis of inexact constraint preconditioning for symmetric saddle point matrices (2013) (21)
New conditions for non-stagnation of minimal residual methods (2008) (20)
Empirical Orthogonal Functions (2010) (19)
Exploiting Hidden Structure in Matrix Computations: Algorithms and Applications (2016) (19)
Numerical solution of parameter‐dependent linear systems (2005) (18)
Algebraic formulations for the solution of the nullspace‐free eigenvalue problem using the inexact Shift‐and‐Invert Lanczos method (2003) (18)
Acquired Clustering Properties and Solution of Certain Saddle Point Systems (2010) (18)
Block Krylov subspace methods for the computation of structural response to turbulent wind (2011) (18)
Substructuring Preconditioners for Mortar Discretization of a Degenerate Evolution Problem (2008) (17)
Large-scale Gauss-Newton inversion of transient controlled-source electromagnetic measurement data using the model reduction framework (2013) (17)
Error Bounds for Lanczos Approximations of Rational Functions of Matrices (2009) (15)
Preconditioning PDE-constrained optimization with L1-sparsity and control constraints (2016) (15)
Matrix-oriented discretization methods for reaction-diffusion PDEs: Comparisons and applications (2019) (15)
Order Reduction Methods for Solving Large-Scale Differential Matrix Riccati Equations (2019) (14)
Inexact Arnoldi residual estimates and decay properties for functions of non-Hermitian matrices (2016) (14)
Numerical Methods for Large-Scale Lyapunov Equations with Symmetric Banded Data (2017) (14)
RITZ AND PSEUDO-RITZ VALUES USING MATRIX POLYNOMIALS (1996) (14)
Analysis of a Minimum Perturbation Algorithm for Nonsymmetric Linear Systems (1997) (13)
Arnoldi-Riccati method for large eigenvalue problems (1996) (13)
Contraction and Optimality Properties of an Adaptive Legendre–Galerkin Method: The Multi-Dimensional Case (2012) (13)
Computationally enhanced projection methods for symmetric Sylvester and Lyapunov matrix equations (2016) (12)
Fast iterative solvers for fractional dierential equations (2014) (12)
Iterative methods for complex symmetric systems with multiple right-hand sides (1994) (12)
Solution of linear systems from an optimal control problem arising in wind simulation (2010) (11)
Error estimates for iterative algorithms for minimizing regularized quadratic subproblems (2020) (10)
Projection methods for large-scale T-Sylvester equations (2016) (10)
A new variant of restarted GMRES (1997) (10)
Optimality Properties of Galerkin and Petrov–Galerkin Methods for Linear Matrix Equations (2019) (9)
TRANSFER FUNCTIONS AND RESOLVENT NORM APPROXIMATION OF LARGE MATRICES (1998) (8)
Decay bounds for non-Hermitian matrix functions (2016) (8)
A matrix-oriented POD-DEIM algorithm applied to nonlinear differential matrix equations (2020) (8)
On the Superlinear Convergence of MINRES (2013) (8)
Approximating the leading singular triplets of a large matrix function (2017) (8)
Krylov Subspace Methods for Large-Scale Constrained Sylvester Equations (2013) (8)
Matrix oriented reduction of space-time Petrov-Galerkin variational problems (2019) (7)
An ultraweak space-time variational formulation for the wave equation: Analysis and efficient numerical solution (2022) (7)
Inexact Rayleigh quotient-type methods for subspace tracking (1999) (7)
The Lyapunov matrix equation. Matrix analysis from a computational perspective (2015) (7)
ADAPTIVE TANGENTIAL INTERPOLATION IN RATIONAL KRYLOV SUBSPACES FOR MIMO MODEL REDUCTION (2012) (7)
Relaxed Krylov subspace approximation (2005) (7)
Stability and Accuracy of Inexact Interior Point Methods for Convex Quadratic Programming (2017) (7)
Tensor-Train decomposition for image recognition (2020) (6)
Parallel Computation of Pseudospectra Using Transfer Functions on a MATLAB-MPI Cluster Platform (2002) (5)
The Sherman–Morrison–Woodbury formula for generalized linear matrix equations and applications (2021) (5)
Decay bounds for functions of matrices with banded or Kronecker structure (2015) (5)
Non-Symmetric Algebraic Multigrid Preconditioners for the Bidomain Reaction–Diffusion system (2010) (5)
On the Superlinear Convergence of Exact and Inexact Krylov Subspace Methods (2003) (4)
The Short-term Rational Lanczos Method and Applications (2021) (4)
Numerical solution of a class of third order tensor linear equations (2020) (4)
Efficient Preconditioning for an Optimal Control Problem with the Time-Periodic Stokes Equations (2013) (4)
State-dependent Riccati equation feedback stabilization for nonlinear PDEs (2021) (4)
ON A NON-STAGNATION CONDITION FOR GMRES AND APPLICATION TO SADDLE POINT MATRICES ∗ (2010) (4)
Short--term recurrences for indefinite preconditioning of saddle point problems (2000) (4)
A matrix analysis of Arnoldi and Lanczos methods (1998) (4)
Angelo Luongo 2 Analytical and numerical techniques in frequency domain response computation (2003) (4)
Order Reduction Approaches for the Algebraic Riccati Equation and the LQR Problem (2017) (3)
Generalizations: Rotated, Complex, Extended and Combined EOF (2010) (3)
Multiple Linear Regression Methods (2010) (3)
Remarks on Non-Linear Spectral Perturbation (1999) (3)
Matrix equation solving of PDEs in polygonal domains using conformal mappings (2020) (3)
A low-rank matrix equation method for solving PDE-constrained optimization problems (2020) (3)
PSEUDOSPECTRA COMPUTATION OF LARGE MATRICES (2004) (3)
A GMRES Convergence Analysis for Localized Invariant Subspace Ill-Conditioning (2019) (3)
An algorithm for approximating the singular triplets of complex symmetric matrices (1997) (3)
A COMPARISON OF REDUCED AND UNREDUCED SYMMETRIC KKT SYSTEMS ARISING FROM INTERIOR POINT METHODS∗ (2016) (2)
The Canonical Correlation Analysis (2010) (2)
Functions of rational Krylov space matrices and their decay properties (2021) (2)
Approximate nonnegative matrix factorization algorithm for the analysis of angular differential imaging data (2018) (2)
ON THE NUMERICAL SOLUTION OF LARGE-SCALE RICCATI EQUATIONS (2012) (2)
On the field of values of oblique projections (2010) (2)
Projection methods for large T-Sylvester equations (2014) (2)
Decay bounds for functions of banded non-Hermitian matrices (2016) (2)
On the existence and approximation of a dissipating feedback (2018) (1)
MATRIX EQUATION SOLVING OF PDES ON REGULAR DOMAINS (2020) (1)
The behavior of symmetric Krylov subspace methods for solving Mx=(M−γI)v (2004) (1)
Solving Ill-Posed Cauchy Problems by a Krylov Subspace Method (2008) (1)
Refined spectral estimates for preconditioned saddle point linear systems in a non-standard inner product (2013) (1)
Contraction and Optimality Properties of an Adaptive Legendre–Galerkin Method: The Multi-Dimensional Case (2014) (1)
Approximating leading singular triplets of a matrix function (2015) (1)
Matrix Functions and Matrix Equations (2010) (1)
On the numerical solution of a class of systems of linear matrix equations (2018) (1)
A matrix-oriented POD-DEIM algorithm applied to semilinear matrix differential equations (2020) (1)
Reduced order solution of structured linear systems arising in certain PDE-constrained optimization problems (2012) (1)
Substructuring Preconditioners for the Bidomain Extracellular Potential Problem (2006) (0)
N A ] 2 2 M ay 2 01 5 PRECONDITIONING OF ACTIVE-SET NEWTON METHODS FOR PDE-CONSTRAINED OPTIMAL CONTROL PROBLEMS (2021) (0)
Inexact Arnoldi residual estimates and decay properties for functions of non-Hermitian matrices (2019) (0)
Stability estimates and structural spectral properties of saddle point problems (2012) (0)
Efficient low-rank solution of generalized Lyapunov equations (2015) (0)
A Numerical Procedure for the Dynamic Response of Tall Buildings Subject to Turbulent Wind Excitation (2009) (0)
Numerical solution of a class of quasi-linear matrix equations (2022) (0)
On acceleration methods for approximating matrix functions (2006) (0)
Computational aspects in direct frequency domain analysis (2002) (0)
Optimality Properties of Galerkin and Petrov–Galerkin Methods for Linear Matrix Equations (2020) (0)
Approximation of functions of large matrices with Kronecker structure (2016) (0)
A comparison of reduced and unreduced KKT systems arising from interior point methods (2017) (0)
5th Workshop of the Ercim Working Group on Matrix Computations and Statistics Numerical Methods for Statistics Aims and Scopes Local Organizing Committee (2004) (0)
Book Review: Handbook of numerical analysis, Vol. VI, Numerical methods for solids (Part 3), Numerical methods for fluids (Part 1) (2000) (0)
Visit at Cerfacs 2 Research Report (1995) (0)
Matrix-equation-based strategies for convection–diffusion equations (2015) (0)
PREDICTING CHANGES IN A CHANGING WORLD - Integrating ecological, analytical, economic, political and juridical aspects to forecast and manage the impacts of global changes in marine systems (2008) (0)
1 Matrix Functions and Matrix Equations (2010) (0)
Analysis of the Truncated Conjugate Gradient Method for Linear Matrix Equations (2023) (0)
Elements of Linear Algebra (2010) (0)
Chapter 1 On the Superlinear Convergence of MINRES ⋆ (2012) (0)
Numerical Solution of a Cauchy Problem for an Elliptic Equation by Krylov Subspaces 2 February 2009 (2009) (0)
A Spectral Finite Element Model for Shallow Water Equations : Implementation Experiences on the Cray T 3 D (1997) (0)
Cross-Covariance and the Singular Value Decomposition (2010) (0)
Stability and Accuracy of Inexact Interior Point Methods for Convex Quadratic Programming (2017) (0)
A spectral PALM algorithm for matrix and tensor-train based Dictionary Learning (2021) (0)
7th Workshop on Matrix Equations and Tensor Techniques (2018) (0)
A MEMORY-CONSERVING HYBRID METHOD FOR SOLVING LINEAR SYSTEMS WITH MULTIPLE RIGHT HAND SIDES (2007) (0)
Solving modified systems with multiple right-hand sides (1996) (0)
A Tensor-Train Dictionary Learning algorithm based on Spectral Proximal Alternating Linearized Minimization (2021) (0)
ADVANCES AND PERSPECTIVES ON NUMERICAL METHODS FOR SADDLE POINT PROBLEMS (2009) (0)
Very Weak Space-Time Variational Formulation for the Wave Equation: Analysis and Efficient Numerical Solution (2021) (0)

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