Edit Profile (opens in new tab) Calvetti, Daniela Compute Distance To: Compute Author ID: calvetti.daniela Published as: Calvetti, D.; Calvetti, Daniela Documents Indexed: 127 Publications since 1991, including 5 Books 3 Contributions as Editor · 1 Further Contribution Co-Authors: 64 Co-Authors with 126 Joint Publications 1,329 Co-Co-Authors all top 5 Co-Authors 4 single-authored 68 Reichel, Lothar 58 Somersalo, Erkki 10 Sgallari, Fiorella 8 Lewis, Bryan W. 6 Baglama, James 6 Golub, Gene Howard 4 Ammar, Gregory S. 4 Arnold, Andrea 4 Kaipio, Jari P. 4 Morigi, Serena 4 Prezioso, Jamie 4 Shuibi, A. 3 Capo Rangel, G. 3 Gerardo-Giorda, Luca 3 Occhipinti, Rossana 3 Pitolli, Francesca 3 Pragliola, Monica 3 Vantaggi, Barbara 3 Zhang, Qin 2 Boron, Walter F. 2 Cheng, Yougan 2 Gragg, William B. 2 Hadwin, Paul J. 2 Hageman Blair, Rachael 2 Heino, Jenni 2 Homa, Laura 2 Huttunen, Janne M. J. 2 Immonen, Taina 2 Kim, Sunmi 2 Mcgivney, Debra 2 Nakkireddy, S. 2 Spaletta, Giulia 2 Strang, Alexander 2 Tunyan, Knarik 1 Arts, Eric J. 1 Bardsley, Johnathan M. 1 Briol, François-Xavier 1 Cabrera, Marco E. 1 Callahan, Margaret 1 Cockayne, Jon 1 Cosmo, Anna 1 Dash, Ranjan K. 1 Diazdelao, F. A. 1 Dunlop, Matthew M. 1 Ernst, Oliver G. 1 Fang, Ethan X. 1 Filippone, Maurizio 1 Gallopoulos, Efstratios 1 Girolami, Mark A. 1 Gjedde, Albert 1 Hakula, Harri 1 Hansen, Per Christian 1 Hennig, Philipp 1 Hoover, Alexander P. 1 Hristov, P. O. 1 Ipsen, Ilse C. F. 1 Isaacson, David 1 Iversen, Peter 1 Kuceyeski, Amy 1 Landi, Germana 1 Leitner, Thomas 1 Levenberg, Norman jun. 1 Li, Xudong 1 Miller, Melanie A. 1 Oates, Chris J. 1 Pascarella, Annalisa 1 Perotto, Simona 1 Petersen, Johnny 1 Pursiainen, Sampsa 1 Rosasco, Lorenzo A. 1 Rossi, Simone 1 Rusus, Cristian 1 Ruttan, Arden 1 Sorensen, Danny C. 1 Spies, Ruben D. 1 Stuart, Andrew M. 1 Volzer, Joseph 1 Waniorek, N. all top 5 Serials 21 Inverse Problems 14 Journal of Computational and Applied Mathematics 10 Numerical Algorithms 9 Journal of Theoretical Biology 7 Linear Algebra and its Applications 7 SIAM Journal on Scientific Computing 6 BIT 6 ETNA. Electronic Transactions on Numerical Analysis 5 Inverse Problems and Imaging 4 Mathematics of Computation 4 Numerische Mathematik 3 Multiscale Modeling & Simulation 2 SIAM Journal on Matrix Analysis and Applications 2 Numerical Linear Algebra with Applications 1 Journal of Computational Physics 1 Journal of Mathematical Biology 1 Mathematical Biosciences 1 Bulletin of Mathematical Biology 1 ACM Transactions on Mathematical Software 1 Applied Numerical Mathematics 1 Communications in Statistics. Theory and Methods 1 SIAM Review 1 Advances in Computational Mathematics 1 Discrete and Continuous Dynamical Systems 1 International Journal of Applied Mathematics and Computer Science 1 Mathematical Medicine and Biology 1 International Journal of Mathematics and Computer Science 1 Applied Mathematical Sciences 1 Surveys and Tutorials in the Applied Mathematical Sciences 1 Mathematical Modeling and Computation 1 SIAM Journal on Imaging Sciences 1 Bayesian Analysis 1 SIAM/ASA Journal on Uncertainty Quantification 1 Other Titles in Applied Mathematics 1 Data Sci. Book Ser. all top 5 Fields 105 Numerical analysis (65-XX) 32 Statistics (62-XX) 28 Biology and other natural sciences (92-XX) 14 Partial differential equations (35-XX) 11 Systems theory; control (93-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 7 Approximations and expansions (41-XX) 7 Optics, electromagnetic theory (78-XX) 7 Information and communication theory, circuits (94-XX) 4 General and overarching topics; collections (00-XX) 4 Probability theory and stochastic processes (60-XX) 4 Computer science (68-XX) 3 Field theory and polynomials (12-XX) 2 Real functions (26-XX) 2 Functions of a complex variable (30-XX) 2 Ordinary differential equations (34-XX) 2 Integral transforms, operational calculus (44-XX) 2 Integral equations (45-XX) 2 Operator theory (47-XX) 2 Fluid mechanics (76-XX) 2 Operations research, mathematical programming (90-XX) 1 Sequences, series, summability (40-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Mechanics of deformable solids (74-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 116 Publications have been cited 1,392 times in 887 Documents Cited by ▼ Year ▼ Application of ADI iterative methods to the restoration of noisy images. Zbl 0849.65101Calvetti, D.; Reichel, L. 98 1996 An introduction to Bayesian scientific computing. Ten lectures on subjective computing. Zbl 1137.65010Calvetti, Daniela; Somersalo, Erkki 81 2007 Tikhonov regularization and the L-curve for large discrete ill-posed problems. Zbl 0977.65030Calvetti, D.; Morigi, S.; Reichel, L.; Sgallari, F. 72 2000 Tikhonov regularization of large linear problems. Zbl 1038.65048Calvetti, Daniela; Reichel, Lothar 53 2003 Estimation of the \(L\)-curve via Lanczos bidiagonalization. Zbl 0945.65044Calvetti, D.; Golub, G. H.; Reichel, L. 49 1999 An implicit restarted Lanczos method for large symmetric eigenvalue problems. Zbl 0809.65030Calvetti, D.; Reichel, L.; Sorensen, Danny C. 48 1994 Computation of Gauss-Kronrod quadrature rules. Zbl 0947.65022Calvetti, D.; Golub, G. H.; Gragg, W. B.; Reichel, L. 44 2000 Fast Leja points. Zbl 0912.65004Baglama, J.; Calvetti, D.; Reichel, L. 38 1998 On the regularizing properties of the GMRES method. Zbl 1022.65044Calvetti, D.; Lewis, B.; Reichel, L. 38 2002 Adaptively preconditioned GMRES algorithms. Zbl 0954.65026Baglama, J.; Calvetti, D.; Golub, G. H.; Reichel, L. 37 1999 IRBL: An implicitly restarted Block-Lanczos method for large-scale Hermitian eigenproblems. Zbl 1044.65027Baglama, J.; Calvetti, D.; Reichel, L. 33 2003 Hypermodels in the Bayesian imaging framework. Zbl 1137.62062Calvetti, Daniela; Somersalo, Erkki 33 2008 GMRES-type methods for inconsistent systems. Zbl 0963.65042Calvetti, D.; Lewis, B.; Reichel, L. 31 2000 \(L\)-curve curvature bounds via Lanczos bidiagonalization. Zbl 1029.65041Calvetti, D.; Hansen, P. C.; Reichel, L. 28 2002 On the choice of subspace for iterative methods for linear discrete ill-posed problems. Zbl 0994.65043Calvetti, Daniela; Lewis, Bryan; Reichel, Lothar 28 2001 GMRES, L-curves, and discrete ill-posed problems. Zbl 1003.65040Calvetti, D.; Lewis, B.; Reichel, L. 23 2002 Priorconditioners for linear systems. Zbl 1087.65044Calvetti, Daniela; Somersalo, Erkki 20 2005 Invertible smoothing preconditioners for linear discrete ill-posed problems. Zbl 1072.65057Calvetti, D.; Reichel, L.; Shuibi, A. 19 2005 Iterative methods for \(X-AXB=C\). Zbl 0890.65040Calvetti, D.; Levenberg, N.; Reichel, L. 18 1997 Tikhonov regularization with a solution constraint. Zbl 1081.65033Calvetti, Daniela; Reichel, Lothar 18 2004 Nonnegativity and iterative methods for ill-posed problems. Zbl 1077.65041Calvetti, D.; Landi, G.; Reichel, L.; Sgallari, F. 17 2004 Conditionally Gaussian hypermodels for cerebral source localization. Zbl 1176.62107Calvetti, Daniela; Hakula, Harri; Pursiainen, Sampsa; Somersalo, Erkki 17 2009 Preconditioned iterative methods for linear discrete ill-posed problems from a Bayesian inversion perspective. Zbl 1101.65043Calvetti, Daniela 17 2007 Fast inversion of Vandermonde-like matrices involving orthogonal polynomials. Zbl 0809.65013Calvetti, D.; Reichel, L. 16 1993 Aristotelian prior boundary conditions. Zbl 1095.94005Calvetti, Daniela; Kaipio, Jari P.; Someralo, Erkki 15 2006 An adaptive Chebyshev iterative method for nonsymmetric linear systems based on modified moments. Zbl 0796.65033Calvetti, D.; Golub, G. H.; Reichel, L. 14 1994 Hierachical Bayesian models and sparsity: \(\ell_2\)-magic. Zbl 1490.62078Calvetti, D.; Somersalo, E.; Strang, A. 14 2019 Iterative updating of model error for Bayesian inversion. Zbl 1386.65056Calvetti, Daniela; Dunlop, Matthew; Somersalo, Erkki; Stuart, Andrew 14 2018 Tikhonov regularization with nonnegativity constraint. Zbl 1069.65047Calvetti, D.; Lewis, B.; Reichel, L.; Sgallari, F. 14 2004 A Gaussian hypermodel to recover blocky objects. Zbl 1112.62018Calvetti, Daniela; Somersalo, Erkki 13 2007 Lanczos-based exponential filtering for discrete ill-posed problems. Zbl 0997.65068Calvetti, D.; Reichel, L. 13 2002 Symmetric Gauss-Lobatto and modified anti-Gauss rules. Zbl 1056.41017Calvetti, Daniela; Reichel, Lothar 12 2003 L-curve and curvature bounds for Tikhonov regularization. Zbl 1049.65029Calvetti, D.; Reichel, L.; Shuibi, A. 12 2004 Iterative methods for the computation of a few eigenvalues of a large symmetric matrix. Zbl 0856.65030Baglama, J.; Calvetti, D.; Reichel, L. 12 1996 Hierarchical regularization for edge-preserving reconstruction of PET images. Zbl 1188.41023Bardsley, Johnathan M.; Calvetti, Daniela; Somersalo, Erkki 11 2010 Linear multistep methods, particle filtering and sequential Monte Carlo. Zbl 1279.65089Arnold, Andrea; Calvetti, Daniela; Somersalo, Erkki 11 2013 Sparse reconstructions from few noisy data: analysis of hierarchical Bayesian models with generalized gamma hyperpriors. Zbl 1464.62365Calvetti, Daniela; Pragliola, Monica; Somersalo, Erkki; Strang, Alexander 10 2020 Algorithm 827: irbleigs: a Matlab program for computing a few eigenpairs of a large sparse Hermitian matrix. Zbl 1070.65529Baglama, J.; Calvetti, D.; Reichel, L. 10 2003 Adaptive Richardson iteration based on Leja points. Zbl 0863.65012Calvetti, D.; Reichel, L. 10 1996 Continuation methods for the computation of zeros of Szegő polynomials. Zbl 0890.65043Ammar, G. S.; Calvetti, D.; Reichel, L. 10 1996 Parameter estimation for stiff deterministic dynamical systems via ensemble Kalman filter. Zbl 1302.93200Arnold, Andrea; Calvetti, Daniela; Somersalo, Erkki 10 2014 On the solution of large Sylvester-observer equations. Zbl 1055.65079Calvetti, D.; Lewis, B.; Reichel, L. 10 2001 Applications of anti-Gauss quadrature rules in linear algebra. Zbl 0938.65075Calvetti, Daniela; Reichel, Lothar; Sgallari, Fiorella 9 1999 An adaptive Richardson iteration method for indefinite linear systems. Zbl 0858.65035Calvetti, D.; Reichel, L. 9 1996 A hierarchical Krylov-Bayes iterative inverse solver for MEG with physiological preconditioning. Zbl 1329.35346Calvetti, D.; Pascarella, A.; Pitolli, F.; Somersalo, E.; Vantaggi, B. 9 2015 Inverse problems in the Bayesian framework. Zbl 1305.00104 9 2014 Dynamic updating of numerical model discrepancy using sequential sampling. Zbl 1306.65271Calvetti, Daniela; Ernst, Oliver; Somersalo, Erkki 9 2014 Iterative exponential filtering for large discrete ill-posed problems. Zbl 0947.65039Calvetti, D.; Reichel, L.; Zhang, Q. 8 1999 Incomplete partial fractions for parallel evaluation of rational matrix functions. Zbl 0839.65054Calvetti, D.; Gallopoulos, E.; Reichel, L. 8 1995 Bayes meets Krylov: statistically inspired preconditioners for CGLS. Zbl 1392.65047Calvetti, D.; Pitolli, F.; Somersalo, E.; Vantaggi, B. 8 2018 Computation of Gauss-Kronrod quadrature rules with non-positive weights. Zbl 0954.65017Ammar, G. S.; Calvetti, D.; Reichel, L. 8 1999 Left and right preconditioning for electrical impedance tomography with structural information. Zbl 1243.65133Calvetti, Daniela; Mcgivney, Debra; Somersalo, Erkki 8 2012 A stochastic roundoff error analysis for the fast Fourier transform. Zbl 0729.65116Calvetti, Daniela 7 1991 Quadrature rules based on the Arnoldi process. Zbl 1078.65019Calvetti, Daniela; Kim, Sun-Mi; Reichel, Lothar 7 2005 Iterative methods for large continuation problems. Zbl 0974.65052Calvetti, D.; Reichel, L. 7 2000 Enriched Krylov subspace methods for ill-posed problems. Zbl 1017.65025Calvetti, D.; Reichel, L.; Shuibi, A. 7 2003 On the evaluation of polynomial coefficients. Zbl 1035.65156Calvetti, Daniela; Reichel, Lothar 7 2003 Computation of a few small eigenvalues of a large matrix with application to liquid crystal modeling. Zbl 0922.65026Baglama, J.; Calvetti, D.; Reichel, L.; Ruttan, A. 7 1998 A Bayesian conjugate gradient method (with discussion). Zbl 1430.62024Cockayne, Jon; Oates, Chris J.; Ipsen, Ilse C. F.; Girolami, Mark 6 2019 On the solution of Cauchy systems of equations. Zbl 0897.65013Calvetti, D.; Reichel, L. 6 1996 Sampling-based analysis of a spatially distributed model for liver metabolism at steady state. Zbl 1274.62738Calvetti, Daniela; Kuceyeski, Amy; Somersalo, Erkki 6 2008 Large-scale statistical parameter estimation in complex systems with an application to metabolic models. Zbl 1125.92020Calvetti, Daniela; Somersalo, Erkki 6 2006 Sparsity promoting hybrid solvers for hierarchical Bayesian inverse problems. Zbl 07303422Calvetti, Daniela; Pragliola, Monica; Somersalo, Erkki 5 2020 A Chebychev-Vandermonde solver. Zbl 0754.65008Calvetti, D.; Reichel, L. 5 1992 On an inverse eigenproblem for Jacobi matrices. Zbl 0937.65048Calvetti, D.; Reichel, L. 5 1999 A regularizing Lanczos iteration method for underdetermined linear systems. Zbl 0967.65052Calvetti, D.; Reichel, L.; Sgallari, F.; Spaletta, G. 5 2000 Dynamic activation model for a glutamatergic neurovascular unit. Zbl 1331.92027Calvetti, Daniela; Somersalo, Erkki 5 2011 Artificial boundary conditions and domain truncation in electrical impedance tomography. I: Theory and preliminary results. Zbl 1369.35113Calvetti, Daniela; Hadwin, Paul J.; Huttunen, Janne M. J.; Isaacson, David; Kaipio, Jari P.; McGivney, Debra; Somersalo, Erkki; Volzer, Joseph 5 2015 Statistical elimination of boundary artefacts in image deblurring. Zbl 1072.62017Calvetti, Daniela; Somersalo, Erkki 5 2005 An iterative method with error estimators. Zbl 0970.65028Calvetti, D.; Morigi, S.; Reichel, L.; Sgallari, F. 5 2001 Computable error bounds and estimates for the conjugate gradient method. Zbl 0976.65033Calvetti, D.; Morigi, S.; Reichel, L.; Sgallari, F. 5 2000 Iterative solution methods for large linear discrete ill-posed problems. Zbl 0979.93033Calvetti, Daniela; Reichel, Lothar; Zhang, Qin 5 1999 Factorizations of Cauchy matrices. Zbl 0891.65023Calvetti, D.; Reichel, L. 5 1997 A spatially distributed computational model of brain cellular metabolism. Zbl 1347.92015Calvetti, Daniela; Cheng, Yougan; Somersalo, Erkki 4 2015 Priorconditioned CGLS-based quasi-MAP estimate, statistical stopping rule, and ranking of priors. Zbl 1392.65046Calvetti, D.; Pitolli, F.; Prezioso, J.; Somersalo, E.; Vantaggi, B. 4 2017 Computational mathematical modeling. An integrated approach across scales. Zbl 1285.00035Calvetti, Daniela; Somersalo, Erkki 4 2013 Artificial boundary conditions and domain truncation in electrical impedance tomography. II: Stochastic extension of the boundary map. Zbl 1369.35114Calvetti, Daniela; Hadwin, Paul J.; Huttunen, Janne M. J.; Kaipio, Jari P.; Somersalo, Erkki 4 2015 Local regularization method applied to estimating oxygen consumption during muscle activities. Zbl 1082.62027Calvetti, Daniela; Dash, Ranjan K.; Somersalo, Erkki; Cabrera, Marco E. 4 2006 A parallel implementation of the GMRES method. Zbl 0799.65036Calvetti, Daniela; Petersen, Johnny; Reichel, Lothar 4 1993 Application of a block modified Chebyshev algorithm to the iterative solution of symmetric linear systems with multiple right hand side vectors. Zbl 0808.65024Calvetti, D.; Reichel, L. 4 1994 Polynomial zerofinders based on Szegő polynomials. Zbl 0971.65042Ammar, G. S.; Calvetti, D.; Gragg, W. B.; Reichel, L. 4 2001 The restarted QR-algorithm for eigenvalue computation of structured matrices. Zbl 1013.65031Calvetti, Daniela; Kim, Sun-Mi; Reichel, Lothar 4 2002 Partial eigenvalue assignment for large linear control systems. Zbl 1011.93055Calvetti, D.; Lewis, B.; Reichel, L. 4 2001 A computational model integrating brain electrophysiology and metabolism highlights the key role of extracellular potassium and oxygen. Zbl 1397.92276Calvetti, D.; Capo Rangel, G.; Gerardo Giorda, L.; Somersalo, E. 4 2018 Bayesian stationary state flux balance analysis for a skeletal muscle metabolic model. Zbl 1119.92024Calvetti, Daniela; Heino, Jenni; Somersalo, Erkki; Tunyan, Knarik 4 2007 Bayesian preconditioned CGLS for source separation in MEG time series. Zbl 1273.35315Homa, Laura; Calvetti, Daniela; Hoover, Alexander; Somersalo, Erkki 4 2013 A hybrid stochastic-deterministic computational model accurately describes spatial dynamics and virus diffusion in HIV-1 growth competition assay. Zbl 1337.92129Immonen, Taina; Gibson, Richard; Leitner, Thomas; Miller, Melanie A.; Arts, Eric J.; Somersalo, Erkki; Calvetti, Daniela 3 2012 On the selection of poles in the single-input pole placement problem. Zbl 0986.93033Calvetti, D.; Lewis, B.; Reichel, L. 3 1999 Gaussian quadrature applied to adaptive Chebyshev iteration. Zbl 0804.65039Calvetti, D.; Golub, G. H.; Reichel, L. 3 1994 An \(L\)-ribbon for large underdetermined linear discrete ill-posed problems. Zbl 0994.65042Calvetti, D.; Morigi, S.; Reichel, L.; Sgallari, F. 3 2000 Gauss quadrature applied to trust region computations. Zbl 1033.65039Calvetti, Daniela; Reichel, Lothar 3 2003 Uncertainty quantification in flux balance analysis of spatially lumped and distributed models of neuron-astrocyte metabolism. Zbl 1350.92006Calvetti, Daniela; Cheng, Yougan; Somersalo, Erkki 2 2016 Large-scale Bayesian parameter estimation for a three-compartment cardiac metabolism model during ischemia. Zbl 1103.62106Calvetti, Daniela; Hageman, Rachael; Somersalo, Erkki 2 2006 A hybrid iterative method for symmetric indefinite linear systems. Zbl 0927.65048Calvetti, D.; Reichel, L. 2 1998 Approximation of continuous EIT data from electrode measurements with Bayesian methods. Zbl 1417.78006Calvetti, D.; Nakkireddy, S.; Somersalo, Erkki 2 2019 Brain energetics plays a key role in the coordination of electrophysiology, metabolism and hemodynamics: evidence from an integrated computational model. Zbl 1416.92047Capo Rangel, G.; Prezioso, J.; Gerardo-Giorda, L.; Somersalo, E.; Calvetti, D. 2 2019 A hybrid iterative method for symmetric positive definite linear systems. Zbl 0853.65042Calvetti, D.; Reichel, L. 2 1996 A modified companion matrix method based on Newton polynomials. Zbl 1044.65038Calvetti, D.; Reichel, L.; Sgallari, F. 2 2003 Tikhonov regularization of large symmetric problems. Zbl 1164.65377Calvetti, D.; Reichel, L.; Shuibi, A. 2 2005 A Bayesian filtering approach to layer stripping for electrical impedance tomography. Zbl 1469.35248Calvetti, D.; Nakkireddy, S.; Somersalo, E. 2 2020 Mathematics of data science. A computational approach to clustering and classification. Zbl 1471.68001Calvetti, Daniela; Somersalo, Erkki 1 2021 Sparse reconstructions from few noisy data: analysis of hierarchical Bayesian models with generalized gamma hyperpriors. Zbl 1464.62365Calvetti, Daniela; Pragliola, Monica; Somersalo, Erkki; Strang, Alexander 10 2020 Sparsity promoting hybrid solvers for hierarchical Bayesian inverse problems. Zbl 07303422Calvetti, Daniela; Pragliola, Monica; Somersalo, Erkki 5 2020 A Bayesian filtering approach to layer stripping for electrical impedance tomography. Zbl 1469.35248Calvetti, D.; Nakkireddy, S.; Somersalo, E. 2 2020 Hierachical Bayesian models and sparsity: \(\ell_2\)-magic. Zbl 1490.62078Calvetti, D.; Somersalo, E.; Strang, A. 14 2019 A Bayesian conjugate gradient method (with discussion). Zbl 1430.62024Cockayne, Jon; Oates, Chris J.; Ipsen, Ilse C. F.; Girolami, Mark 6 2019 Approximation of continuous EIT data from electrode measurements with Bayesian methods. Zbl 1417.78006Calvetti, D.; Nakkireddy, S.; Somersalo, Erkki 2 2019 Brain energetics plays a key role in the coordination of electrophysiology, metabolism and hemodynamics: evidence from an integrated computational model. Zbl 1416.92047Capo Rangel, G.; Prezioso, J.; Gerardo-Giorda, L.; Somersalo, E.; Calvetti, D. 2 2019 Estimating hemodynamic stimulus and blood vessel compliance from cerebral blood flow data. Zbl 1406.92130Calvetti, D.; Prezioso, J.; Somersalo, E. 1 2019 Iterative updating of model error for Bayesian inversion. Zbl 1386.65056Calvetti, Daniela; Dunlop, Matthew; Somersalo, Erkki; Stuart, Andrew 14 2018 Bayes meets Krylov: statistically inspired preconditioners for CGLS. Zbl 1392.65047Calvetti, D.; Pitolli, F.; Somersalo, E.; Vantaggi, B. 8 2018 A computational model integrating brain electrophysiology and metabolism highlights the key role of extracellular potassium and oxygen. Zbl 1397.92276Calvetti, D.; Capo Rangel, G.; Gerardo Giorda, L.; Somersalo, E. 4 2018 Priorconditioned CGLS-based quasi-MAP estimate, statistical stopping rule, and ranking of priors. Zbl 1392.65046Calvetti, D.; Pitolli, F.; Prezioso, J.; Somersalo, E.; Vantaggi, B. 4 2017 Uncertainty quantification in flux balance analysis of spatially lumped and distributed models of neuron-astrocyte metabolism. Zbl 1350.92006Calvetti, Daniela; Cheng, Yougan; Somersalo, Erkki 2 2016 A hierarchical Krylov-Bayes iterative inverse solver for MEG with physiological preconditioning. Zbl 1329.35346Calvetti, D.; Pascarella, A.; Pitolli, F.; Somersalo, E.; Vantaggi, B. 9 2015 Artificial boundary conditions and domain truncation in electrical impedance tomography. I: Theory and preliminary results. Zbl 1369.35113Calvetti, Daniela; Hadwin, Paul J.; Huttunen, Janne M. J.; Isaacson, David; Kaipio, Jari P.; McGivney, Debra; Somersalo, Erkki; Volzer, Joseph 5 2015 A spatially distributed computational model of brain cellular metabolism. Zbl 1347.92015Calvetti, Daniela; Cheng, Yougan; Somersalo, Erkki 4 2015 Artificial boundary conditions and domain truncation in electrical impedance tomography. II: Stochastic extension of the boundary map. Zbl 1369.35114Calvetti, Daniela; Hadwin, Paul J.; Huttunen, Janne M. J.; Kaipio, Jari P.; Somersalo, Erkki 4 2015 Variable order smoothness priors for ill-posed inverse problems. Zbl 1309.65045Calvetti, Daniela; Somersalo, Erkki; Spies, Ruben 1 2015 A CS decomposition for orthogonal matrices with application to eigenvalue computation. Zbl 1316.65044Calvetti, D.; Reichel, L.; Xu, H. 1 2015 Parameter estimation for stiff deterministic dynamical systems via ensemble Kalman filter. Zbl 1302.93200Arnold, Andrea; Calvetti, Daniela; Somersalo, Erkki 10 2014 Inverse problems in the Bayesian framework. Zbl 1305.00104 9 2014 Dynamic updating of numerical model discrepancy using sequential sampling. Zbl 1306.65271Calvetti, Daniela; Ernst, Oliver; Somersalo, Erkki 9 2014 Modeling HIV-1 dynamics and fitness in cell culture across scales. Zbl 1297.92047Immonen, Taina; Somersalo, Erkki; Calvetti, Daniela 1 2014 Linear multistep methods, particle filtering and sequential Monte Carlo. Zbl 1279.65089Arnold, Andrea; Calvetti, Daniela; Somersalo, Erkki 11 2013 Computational mathematical modeling. An integrated approach across scales. Zbl 1285.00035Calvetti, Daniela; Somersalo, Erkki 4 2013 Bayesian preconditioned CGLS for source separation in MEG time series. Zbl 1273.35315Homa, Laura; Calvetti, Daniela; Hoover, Alexander; Somersalo, Erkki 4 2013 Left and right preconditioning for electrical impedance tomography with structural information. Zbl 1243.65133Calvetti, Daniela; Mcgivney, Debra; Somersalo, Erkki 8 2012 A hybrid stochastic-deterministic computational model accurately describes spatial dynamics and virus diffusion in HIV-1 growth competition assay. Zbl 1337.92129Immonen, Taina; Gibson, Richard; Leitner, Thomas; Miller, Melanie A.; Arts, Eric J.; Somersalo, Erkki; Calvetti, Daniela 3 2012 A reaction-diffusion model of CO\(_2\) influx into an oocyte. Zbl 1411.92112Somersalo, Erkki; Occhipinti, Rossana; Boron, Walter F.; Calvetti, Daniela 1 2012 Dynamic activation model for a glutamatergic neurovascular unit. Zbl 1331.92027Calvetti, Daniela; Somersalo, Erkki 5 2011 Statistical methods in imaging. Zbl 1259.62057Calvetti, Daniela; Somersalo, Erkki 1 2011 Bayesian mixture models for source separation in MEG. Zbl 1234.92042Calvetti, Daniela; Homa, Laura; Somersalo, Erkki 1 2011 Hierarchical regularization for edge-preserving reconstruction of PET images. Zbl 1188.41023Bardsley, Johnathan M.; Calvetti, Daniela; Somersalo, Erkki 11 2010 Conditionally Gaussian hypermodels for cerebral source localization. Zbl 1176.62107Calvetti, Daniela; Hakula, Harri; Pursiainen, Sampsa; Somersalo, Erkki 17 2009 Hypermodels in the Bayesian imaging framework. Zbl 1137.62062Calvetti, Daniela; Somersalo, Erkki 33 2008 Sampling-based analysis of a spatially distributed model for liver metabolism at steady state. Zbl 1274.62738Calvetti, Daniela; Kuceyeski, Amy; Somersalo, Erkki 6 2008 Dynamic Bayesian sensitivity analysis of a myocardial metabolic model. Zbl 1133.92009Calvetti, D.; Hageman, R.; Occhipinti, R.; Somersalo, E. 1 2008 An introduction to Bayesian scientific computing. Ten lectures on subjective computing. Zbl 1137.65010Calvetti, Daniela; Somersalo, Erkki 81 2007 Preconditioned iterative methods for linear discrete ill-posed problems from a Bayesian inversion perspective. Zbl 1101.65043Calvetti, Daniela 17 2007 A Gaussian hypermodel to recover blocky objects. Zbl 1112.62018Calvetti, Daniela; Somersalo, Erkki 13 2007 Bayesian stationary state flux balance analysis for a skeletal muscle metabolic model. Zbl 1119.92024Calvetti, Daniela; Heino, Jenni; Somersalo, Erkki; Tunyan, Knarik 4 2007 Microlocal sequential regularization in imaging. Zbl 1141.94305Calvetti, Daniela; Somersalo, Erkki 1 2007 Aristotelian prior boundary conditions. Zbl 1095.94005Calvetti, Daniela; Kaipio, Jari P.; Someralo, Erkki 15 2006 Large-scale statistical parameter estimation in complex systems with an application to metabolic models. Zbl 1125.92020Calvetti, Daniela; Somersalo, Erkki 6 2006 Local regularization method applied to estimating oxygen consumption during muscle activities. Zbl 1082.62027Calvetti, Daniela; Dash, Ranjan K.; Somersalo, Erkki; Cabrera, Marco E. 4 2006 Large-scale Bayesian parameter estimation for a three-compartment cardiac metabolism model during ischemia. Zbl 1103.62106Calvetti, Daniela; Hageman, Rachael; Somersalo, Erkki 2 2006 Priorconditioners for linear systems. Zbl 1087.65044Calvetti, Daniela; Somersalo, Erkki 20 2005 Invertible smoothing preconditioners for linear discrete ill-posed problems. Zbl 1072.65057Calvetti, D.; Reichel, L.; Shuibi, A. 19 2005 Quadrature rules based on the Arnoldi process. Zbl 1078.65019Calvetti, Daniela; Kim, Sun-Mi; Reichel, Lothar 7 2005 Statistical elimination of boundary artefacts in image deblurring. Zbl 1072.62017Calvetti, Daniela; Somersalo, Erkki 5 2005 Tikhonov regularization of large symmetric problems. Zbl 1164.65377Calvetti, D.; Reichel, L.; Shuibi, A. 2 2005 Tikhonov regularization with a solution constraint. Zbl 1081.65033Calvetti, Daniela; Reichel, Lothar 18 2004 Nonnegativity and iterative methods for ill-posed problems. Zbl 1077.65041Calvetti, D.; Landi, G.; Reichel, L.; Sgallari, F. 17 2004 Tikhonov regularization with nonnegativity constraint. Zbl 1069.65047Calvetti, D.; Lewis, B.; Reichel, L.; Sgallari, F. 14 2004 L-curve and curvature bounds for Tikhonov regularization. Zbl 1049.65029Calvetti, D.; Reichel, L.; Shuibi, A. 12 2004 Tikhonov regularization of large linear problems. Zbl 1038.65048Calvetti, Daniela; Reichel, Lothar 53 2003 IRBL: An implicitly restarted Block-Lanczos method for large-scale Hermitian eigenproblems. Zbl 1044.65027Baglama, J.; Calvetti, D.; Reichel, L. 33 2003 Symmetric Gauss-Lobatto and modified anti-Gauss rules. Zbl 1056.41017Calvetti, Daniela; Reichel, Lothar 12 2003 Algorithm 827: irbleigs: a Matlab program for computing a few eigenpairs of a large sparse Hermitian matrix. Zbl 1070.65529Baglama, J.; Calvetti, D.; Reichel, L. 10 2003 Enriched Krylov subspace methods for ill-posed problems. Zbl 1017.65025Calvetti, D.; Reichel, L.; Shuibi, A. 7 2003 On the evaluation of polynomial coefficients. Zbl 1035.65156Calvetti, Daniela; Reichel, Lothar 7 2003 Gauss quadrature applied to trust region computations. Zbl 1033.65039Calvetti, Daniela; Reichel, Lothar 3 2003 A modified companion matrix method based on Newton polynomials. Zbl 1044.65038Calvetti, D.; Reichel, L.; Sgallari, F. 2 2003 Pole placement preconditioning. Zbl 1018.65059Calvetti, D.; Reichel, L. 1 2003 On the regularizing properties of the GMRES method. Zbl 1022.65044Calvetti, D.; Lewis, B.; Reichel, L. 38 2002 \(L\)-curve curvature bounds via Lanczos bidiagonalization. Zbl 1029.65041Calvetti, D.; Hansen, P. C.; Reichel, L. 28 2002 GMRES, L-curves, and discrete ill-posed problems. Zbl 1003.65040Calvetti, D.; Lewis, B.; Reichel, L. 23 2002 Lanczos-based exponential filtering for discrete ill-posed problems. Zbl 0997.65068Calvetti, D.; Reichel, L. 13 2002 The restarted QR-algorithm for eigenvalue computation of structured matrices. Zbl 1013.65031Calvetti, Daniela; Kim, Sun-Mi; Reichel, Lothar 4 2002 On the choice of subspace for iterative methods for linear discrete ill-posed problems. Zbl 0994.65043Calvetti, Daniela; Lewis, Bryan; Reichel, Lothar 28 2001 On the solution of large Sylvester-observer equations. Zbl 1055.65079Calvetti, D.; Lewis, B.; Reichel, L. 10 2001 An iterative method with error estimators. Zbl 0970.65028Calvetti, D.; Morigi, S.; Reichel, L.; Sgallari, F. 5 2001 Polynomial zerofinders based on Szegő polynomials. Zbl 0971.65042Ammar, G. S.; Calvetti, D.; Gragg, W. B.; Reichel, L. 4 2001 Partial eigenvalue assignment for large linear control systems. Zbl 1011.93055Calvetti, D.; Lewis, B.; Reichel, L. 4 2001 Tikhonov regularization and the L-curve for large discrete ill-posed problems. Zbl 0977.65030Calvetti, D.; Morigi, S.; Reichel, L.; Sgallari, F. 72 2000 Computation of Gauss-Kronrod quadrature rules. Zbl 0947.65022Calvetti, D.; Golub, G. H.; Gragg, W. B.; Reichel, L. 44 2000 GMRES-type methods for inconsistent systems. Zbl 0963.65042Calvetti, D.; Lewis, B.; Reichel, L. 31 2000 Iterative methods for large continuation problems. Zbl 0974.65052Calvetti, D.; Reichel, L. 7 2000 A regularizing Lanczos iteration method for underdetermined linear systems. Zbl 0967.65052Calvetti, D.; Reichel, L.; Sgallari, F.; Spaletta, G. 5 2000 Computable error bounds and estimates for the conjugate gradient method. Zbl 0976.65033Calvetti, D.; Morigi, S.; Reichel, L.; Sgallari, F. 5 2000 An \(L\)-ribbon for large underdetermined linear discrete ill-posed problems. Zbl 0994.65042Calvetti, D.; Morigi, S.; Reichel, L.; Sgallari, F. 3 2000 Estimation of the \(L\)-curve via Lanczos bidiagonalization. Zbl 0945.65044Calvetti, D.; Golub, G. H.; Reichel, L. 49 1999 Adaptively preconditioned GMRES algorithms. Zbl 0954.65026Baglama, J.; Calvetti, D.; Golub, G. H.; Reichel, L. 37 1999 Applications of anti-Gauss quadrature rules in linear algebra. Zbl 0938.65075Calvetti, Daniela; Reichel, Lothar; Sgallari, Fiorella 9 1999 Iterative exponential filtering for large discrete ill-posed problems. Zbl 0947.65039Calvetti, D.; Reichel, L.; Zhang, Q. 8 1999 Computation of Gauss-Kronrod quadrature rules with non-positive weights. Zbl 0954.65017Ammar, G. S.; Calvetti, D.; Reichel, L. 8 1999 On an inverse eigenproblem for Jacobi matrices. Zbl 0937.65048Calvetti, D.; Reichel, L. 5 1999 Iterative solution methods for large linear discrete ill-posed problems. Zbl 0979.93033Calvetti, Daniela; Reichel, Lothar; Zhang, Qin 5 1999 On the selection of poles in the single-input pole placement problem. Zbl 0986.93033Calvetti, D.; Lewis, B.; Reichel, L. 3 1999 A computable error bound for matrix functionals. Zbl 0937.65054Calvetti, D.; Golub, G. H.; Reichel, L. 1 1999 A block-Lanczos method for large continuation problems. Zbl 0942.65054Calvetti, D.; Reichel, L. 1 1999 Fast Leja points. Zbl 0912.65004Baglama, J.; Calvetti, D.; Reichel, L. 38 1998 Computation of a few small eigenvalues of a large matrix with application to liquid crystal modeling. Zbl 0922.65026Baglama, J.; Calvetti, D.; Reichel, L.; Ruttan, A. 7 1998 A hybrid iterative method for symmetric indefinite linear systems. Zbl 0927.65048Calvetti, D.; Reichel, L. 2 1998 Iterative methods for \(X-AXB=C\). Zbl 0890.65040Calvetti, D.; Levenberg, N.; Reichel, L. 18 1997 Factorizations of Cauchy matrices. Zbl 0891.65023Calvetti, D.; Reichel, L. 5 1997 Application of ADI iterative methods to the restoration of noisy images. Zbl 0849.65101Calvetti, D.; Reichel, L. 98 1996 Iterative methods for the computation of a few eigenvalues of a large symmetric matrix. Zbl 0856.65030Baglama, J.; Calvetti, D.; Reichel, L. 12 1996 Adaptive Richardson iteration based on Leja points. Zbl 0863.65012Calvetti, D.; Reichel, L. 10 1996 ...and 16 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,356 Authors 122 Reichel, Lothar 50 Calvetti, Daniela 27 Somersalo, Erkki 20 Sgallari, Fiorella 19 Jbilou, Khalide 18 Morigi, Serena 18 Spalević, Miodrag M. 13 Benner, Peter 13 Kaipio, Jari P. 12 Bentbib, Abdeslem Hafid 11 Chung, Julianne M. 11 Gazzola, Silvia 11 Rodriguez, Giuseppe 10 Bardsley, Johnathan M. 10 Hochstenbach, Michiel E. 10 Olshevsky, Vadim 9 Baglama, James 9 Hansen, Per Christian 9 Novati, Paolo 8 Bouhamidi, Abderrahman 8 El-Guide, Mohamed 8 Hajarian, Masoud 8 Hayami, Ken 8 Noschese, Silvia 8 Sadok, Hassane 7 Dehghan Takht Fooladi, Mehdi 7 Hyvönen, Nuutti 7 Landi, Germana 7 Pitolli, Francesca 7 Tambue, Antoine 7 Toutounian, Faezeh 7 Wei, Yimin 6 Donatelli, Marco 6 Jagels, Carl F. 6 Lanza, Alessandro 6 Stuart, Andrew M. 5 Arnold, Andrea 5 Bella, Tom 5 Buccini, Alessandro 5 Caliari, Marco 5 Cui, Tiangang 5 Heyouni, Mohammed 5 Hosseini, Bamdad 5 Huang, Guang-Xin 5 Marzouk, Youssef M. 5 Morgan, Ronald B. 5 Nagy, James Gerard 5 Strakoš, Zdeněk 5 Wang, Qingwen 5 Wang, Xiang 4 Arridge, Simon R. 4 Ascher, Uri M. 4 Chung, Matthias 4 Dax, Achiya 4 de la Calle Ysern, Bernardo 4 Duintjer Tebbens, Jurjen 4 Faßbender, Heike 4 Fenu, Caterina 4 Gemignani, Luca 4 Gerardo-Giorda, Luca 4 Gohberg, Israel 4 Golub, Gene Howard 4 Guo, Zhichang 4 Hasçelik, Ali İhsan 4 He, ZhuoHeng 4 Huttunen, Janne M. J. 4 Jia, Zhongxiao 4 Jiang, Jiahua 4 Kailath, Thomas 4 Kolehmainen, Ville 4 Li, Jinglai 4 Loli Piccolomini, Elena 4 Lord, Gabriel James 4 Lu, Linzhang 4 Ma, Changfeng 4 Mach, Thomas 4 Morikuni, Keiichi 4 Niu, Qiang 4 Pragliola, Monica 4 Prezioso, Jamie 4 Prudhomme, Serge 4 Pursiainen, Sampsa 4 Saad, Yousef 4 Saibaba, Arvind Krishna 4 Stoll, Martin 4 Vandebril, Raf 4 Vianello, Marco 4 Wu, Gang 4 Ye, Qiang 4 Yin, Feng 4 Zama, Fabiana 3 Abdulle, Assyr 3 Alqahtani, Hessah 3 Behera, Ratikanta 3 Beik, Fatemeh Panjeh Ali 3 Bergamaschi, Luca 3 Borges, Leonardo Silveira 3 Bui-Thanh, Tan 3 Capo Rangel, G. 3 Chen, Guoliang ...and 1,256 more Authors all top 5 Cited in 170 Serials 97 Journal of Computational and Applied Mathematics 54 Linear Algebra and its Applications 46 Numerical Algorithms 45 Applied Numerical Mathematics 43 SIAM Journal on Scientific Computing 38 Inverse Problems 37 BIT 33 Applied Mathematics and Computation 28 Computers & Mathematics with Applications 23 Numerical Linear Algebra with Applications 23 SIAM/ASA Journal on Uncertainty Quantification 20 Journal of Computational Physics 18 Mathematics of Computation 16 Computer Methods in Applied Mechanics and Engineering 14 Numerische Mathematik 13 Inverse Problems and Imaging 11 SIAM Journal on Matrix Analysis and Applications 11 Journal of Scientific Computing 11 Inverse Problems in Science and Engineering 8 Journal of Mathematical Imaging and Vision 8 Computational and Applied Mathematics 8 Journal of Theoretical Biology 7 ETNA. 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Serie Quarta 1 Information Sciences 1 Integral Equations and Operator Theory 1 Journal of the American Statistical Association 1 Journal of Econometrics 1 Journal of Functional Analysis 1 Journal of Optimization Theory and Applications 1 Kybernetika 1 Proceedings of the American Mathematical Society 1 SIAM Journal on Numerical Analysis 1 Studies in Applied Mathematics ...and 70 more Serials all top 5 Cited in 46 Fields 708 Numerical analysis (65-XX) 161 Linear and multilinear algebra; matrix theory (15-XX) 116 Statistics (62-XX) 93 Partial differential equations (35-XX) 81 Information and communication theory, circuits (94-XX) 66 Biology and other natural sciences (92-XX) 54 Computer science (68-XX) 52 Approximations and expansions (41-XX) 39 Systems theory; control (93-XX) 32 Operations research, mathematical programming (90-XX) 29 Optics, electromagnetic theory (78-XX) 27 Probability theory and stochastic processes (60-XX) 27 Mechanics of deformable solids (74-XX) 23 Ordinary differential equations (34-XX) 21 Fluid mechanics (76-XX) 20 Calculus of variations and optimal control; optimization (49-XX) 17 Integral equations (45-XX) 17 Operator theory (47-XX) 13 Harmonic analysis on Euclidean spaces (42-XX) 12 Combinatorics (05-XX) 12 Geophysics (86-XX) 8 Real functions (26-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Dynamical systems and ergodic theory (37-XX) 7 Classical thermodynamics, heat transfer (80-XX) 7 Statistical mechanics, structure of matter (82-XX) 6 Field theory and polynomials (12-XX) 6 Functions of a complex variable (30-XX) 6 Special functions (33-XX) 6 Integral transforms, operational calculus (44-XX) 4 Potential theory (31-XX) 2 History and biography (01-XX) 2 Number theory (11-XX) 2 Sequences, series, summability (40-XX) 2 Functional analysis (46-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Quantum theory (81-XX) 1 General and overarching topics; collections (00-XX) 1 Commutative algebra (13-XX) 1 Difference and functional equations (39-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Relativity and gravitational theory (83-XX) 1 Mathematics education (97-XX) Citations by Year