Edit Profile (opens in new tab) Calvetti, Daniela Co-Author Distance Author ID: calvetti.daniela Published as: Calvetti, D.; Calvetti, Daniela Homepage: https://sites.google.com/case.edu/danielacalvetti/home External Links: MGP · ORCID · Wikidata · Google Scholar · dblp · GND · IdRef Documents Indexed: 139 Publications since 1991, including 5 Books and 5 Additional arXiv Preprints 3 Contributions as Editor · 1 Further Contribution Co-Authors: 69 Co-Authors with 138 Joint Publications 1,599 Co-Co-Authors all top 5 Co-Authors 4 single-authored 70 Somersalo, Erkki 68 Reichel, Lothar 10 Sgallari, Fiorella 8 Lewis, Bryan W. 6 Baglama, James 6 Golub, Gene Howard 6 Pragliola, Monica 4 Ammar, Gregory S. 4 Arnold, Andrea 4 Kaipio, Jari P. 4 Morigi, Serena 4 Pitolli, Francesca 4 Prezioso, Jamie 4 Shuibi, A. 4 Vantaggi, Barbara 3 Capo Rangel, G. 3 Gerardo-Giorda, Luca 3 Occhipinti, Rossana 3 Zhang, Qin 2 Bocchinfuso, Alberto 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 Hoover, Alexander P. 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 Cuomo, Salvatore 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 Hristov, P. O. 1 Idumah, Gideon 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 Sullivan, Tim 1 Toraldo, Gerardo 1 Volzer, Joseph 1 Waniorek, Nathan 1 Xu, Hongguo all top 5 Serials 24 Inverse Problems 14 Journal of Computational and Applied Mathematics 10 Numerical Algorithms 10 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 Mathematical Biosciences 2 SIAM Journal on Matrix Analysis and Applications 2 Numerical Linear Algebra with Applications 2 SIAM/ASA Journal on Uncertainty Quantification 1 Journal of Computational Physics 1 Journal of Mathematical Biology 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 Wiley Interdisciplinary Reviews. WIREs Computational Statistics 1 Bayesian Analysis 1 Other Titles in Applied Mathematics 1 Data Science Book Series all top 5 Fields 108 Numerical analysis (65-XX) 36 Statistics (62-XX) 31 Biology and other natural sciences (92-XX) 17 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) 5 Probability theory and stochastic processes (60-XX) 4 General and overarching topics; collections (00-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 124 Publications have been cited 1,710 times in 1,053 Documents Cited by ▼ Year ▼ Application of ADI iterative methods to the restoration of noisy images. Zbl 0849.65101 Calvetti, D.; Reichel, L. 108 1996 An introduction to Bayesian scientific computing. Ten lectures on subjective computing. Zbl 1137.65010 Calvetti, Daniela; Somersalo, Erkki 105 2007 Tikhonov regularization and the L-curve for large discrete ill-posed problems. Zbl 0977.65030 Calvetti, D.; Morigi, S.; Reichel, L.; Sgallari, F. 84 2000 Tikhonov regularization of large linear problems. Zbl 1038.65048 Calvetti, Daniela; Reichel, Lothar 62 2003 An implicit restarted Lanczos method for large symmetric eigenvalue problems. Zbl 0809.65030 Calvetti, D.; Reichel, L.; Sorensen, Danny C. 55 1994 Estimation of the \(L\)-curve via Lanczos bidiagonalization. Zbl 0945.65044 Calvetti, D.; Golub, G. H.; Reichel, L. 52 1999 Computation of Gauss-Kronrod quadrature rules. Zbl 0947.65022 Calvetti, D.; Golub, G. H.; Gragg, W. B.; Reichel, L. 52 2000 Hypermodels in the Bayesian imaging framework. Zbl 1137.62062 Calvetti, Daniela; Somersalo, Erkki 48 2008 On the regularizing properties of the GMRES method. Zbl 1022.65044 Calvetti, D.; Lewis, B.; Reichel, L. 42 2002 Adaptively preconditioned GMRES algorithms. Zbl 0954.65026 Baglama, J.; Calvetti, D.; Golub, G. H.; Reichel, L. 42 1999 Fast Leja points. Zbl 0912.65004 Baglama, J.; Calvetti, D.; Reichel, L. 39 1998 IRBL: An implicitly restarted Block-Lanczos method for large-scale Hermitian eigenproblems. Zbl 1044.65027 Baglama, J.; Calvetti, D.; Reichel, L. 37 2003 GMRES-type methods for inconsistent systems. Zbl 0963.65042 Calvetti, D.; Lewis, B.; Reichel, L. 34 2000 On the choice of subspace for iterative methods for linear discrete ill-posed problems. Zbl 0994.65043 Calvetti, Daniela; Lewis, Bryan; Reichel, Lothar 33 2001 \(L\)-curve curvature bounds via Lanczos bidiagonalization. Zbl 1029.65041 Calvetti, D.; Hansen, P. C.; Reichel, L. 31 2002 Hierachical Bayesian models and sparsity: \(\ell_2\)-magic. Zbl 1490.62078 Calvetti, D.; Somersalo, E.; Strang, A. 28 2019 GMRES, L-curves, and discrete ill-posed problems. Zbl 1003.65040 Calvetti, D.; Lewis, B.; Reichel, L. 27 2002 Conditionally Gaussian hypermodels for cerebral source localization. Zbl 1176.62107 Calvetti, Daniela; Hakula, Harri; Pursiainen, Sampsa; Somersalo, Erkki 27 2009 Priorconditioners for linear systems. Zbl 1087.65044 Calvetti, Daniela; Somersalo, Erkki 26 2005 Iterative updating of model error for Bayesian inversion. Zbl 1386.65056 Calvetti, Daniela; Dunlop, Matthew; Somersalo, Erkki; Stuart, Andrew 25 2018 A Gaussian hypermodel to recover blocky objects. Zbl 1112.62018 Calvetti, Daniela; Somersalo, Erkki 23 2007 Invertible smoothing preconditioners for linear discrete ill-posed problems. Zbl 1072.65057 Calvetti, D.; Reichel, L.; Shuibi, A. 23 2005 Sparse reconstructions from few noisy data: analysis of hierarchical Bayesian models with generalized gamma hyperpriors. Zbl 1464.62365 Calvetti, Daniela; Pragliola, Monica; Somersalo, Erkki; Strang, Alexander 23 2020 Preconditioned iterative methods for linear discrete ill-posed problems from a Bayesian inversion perspective. Zbl 1101.65043 Calvetti, Daniela 20 2007 A hierarchical Krylov-Bayes iterative inverse solver for MEG with physiological preconditioning. Zbl 1329.35346 Calvetti, D.; Pascarella, A.; Pitolli, F.; Somersalo, E.; Vantaggi, B. 20 2015 Iterative methods for \(X-AXB=C\). Zbl 0890.65040 Calvetti, D.; Levenberg, N.; Reichel, L. 19 1997 Bayes meets Krylov: statistically inspired preconditioners for CGLS. Zbl 1392.65047 Calvetti, D.; Pitolli, F.; Somersalo, E.; Vantaggi, B. 19 2018 Tikhonov regularization with a solution constraint. Zbl 1081.65033 Calvetti, Daniela; Reichel, Lothar 18 2004 Nonnegativity and iterative methods for ill-posed problems. Zbl 1077.65041 Calvetti, D.; Landi, G.; Reichel, L.; Sgallari, F. 18 2004 Sparsity promoting hybrid solvers for hierarchical Bayesian inverse problems. Zbl 07303422 Calvetti, Daniela; Pragliola, Monica; Somersalo, Erkki 18 2020 Fast inversion of Vandermonde-like matrices involving orthogonal polynomials. Zbl 0809.65013 Calvetti, D.; Reichel, L. 17 1993 Symmetric Gauss-Lobatto and modified anti-Gauss rules. Zbl 1056.41017 Calvetti, Daniela; Reichel, Lothar 17 2003 An adaptive Chebyshev iterative method for nonsymmetric linear systems based on modified moments. Zbl 0796.65033 Calvetti, D.; Golub, G. H.; Reichel, L. 16 1994 Aristotelian prior boundary conditions. Zbl 1095.94005 Calvetti, Daniela; Kaipio, Jari P.; Someralo, Erkki 16 2006 Tikhonov regularization with nonnegativity constraint. Zbl 1069.65047 Calvetti, D.; Lewis, B.; Reichel, L.; Sgallari, F. 16 2004 Lanczos-based exponential filtering for discrete ill-posed problems. Zbl 0997.65068 Calvetti, D.; Reichel, L. 15 2002 L-curve and curvature bounds for Tikhonov regularization. Zbl 1049.65029 Calvetti, D.; Reichel, L.; Shuibi, A. 15 2004 Computation of Gauss-Kronrod quadrature rules with non-positive weights. Zbl 0954.65017 Ammar, G. S.; Calvetti, D.; Reichel, L. 13 1999 Iterative methods for the computation of a few eigenvalues of a large symmetric matrix. Zbl 0856.65030 Baglama, J.; Calvetti, D.; Reichel, L. 13 1996 Hierarchical regularization for edge-preserving reconstruction of PET images. Zbl 1188.41023 Bardsley, Johnathan M.; Calvetti, Daniela; Somersalo, Erkki 13 2010 Linear multistep methods, particle filtering and sequential Monte Carlo. Zbl 1279.65089 Arnold, Andrea; Calvetti, Daniela; Somersalo, Erkki 13 2013 Parameter estimation for stiff deterministic dynamical systems via ensemble Kalman filter. Zbl 1302.93200 Arnold, Andrea; Calvetti, Daniela; Somersalo, Erkki 12 2014 Inverse problems in the Bayesian framework. Zbl 1305.00104 12 2014 On the solution of large Sylvester-observer equations. Zbl 1055.65079 Calvetti, D.; Lewis, B.; Reichel, L. 12 2001 Adaptive Richardson iteration based on Leja points. Zbl 0863.65012 Calvetti, D.; Reichel, L. 11 1996 Dynamic updating of numerical model discrepancy using sequential sampling. Zbl 1306.65271 Calvetti, Daniela; Ernst, Oliver; Somersalo, Erkki 11 2014 Algorithm 827: irbleigs: a Matlab program for computing a few eigenpairs of a large sparse Hermitian matrix. Zbl 1070.65529 Baglama, J.; Calvetti, D.; Reichel, L. 11 2003 On the evaluation of polynomial coefficients. Zbl 1035.65156 Calvetti, Daniela; Reichel, Lothar 11 2003 Continuation methods for the computation of zeros of Szegő polynomials. Zbl 0890.65043 Ammar, G. S.; Calvetti, D.; Reichel, L. 10 1996 Applications of anti-Gauss quadrature rules in linear algebra. Zbl 0938.65075 Calvetti, Daniela; Reichel, Lothar; Sgallari, Fiorella 10 1999 Left and right preconditioning for electrical impedance tomography with structural information. Zbl 1243.65133 Calvetti, Daniela; Mcgivney, Debra; Somersalo, Erkki 10 2012 Enriched Krylov subspace methods for ill-posed problems. Zbl 1017.65025 Calvetti, D.; Reichel, L.; Shuibi, A. 10 2003 A Bayesian conjugate gradient method (with discussion). Zbl 1430.62024 Cockayne, Jon; Oates, Chris J.; Ipsen, Ilse C. F.; Girolami, Mark 10 2019 An adaptive Richardson iteration method for indefinite linear systems. Zbl 0858.65035 Calvetti, D.; Reichel, L. 9 1996 Iterative methods for large continuation problems. Zbl 0974.65052 Calvetti, D.; Reichel, L. 9 2000 Iterative exponential filtering for large discrete ill-posed problems. Zbl 0947.65039 Calvetti, D.; Reichel, L.; Zhang, Q. 8 1999 Incomplete partial fractions for parallel evaluation of rational matrix functions. Zbl 0839.65054 Calvetti, D.; Gallopoulos, E.; Reichel, L. 8 1995 Quadrature rules based on the Arnoldi process. Zbl 1078.65019 Calvetti, Daniela; Kim, Sun-Mi; Reichel, Lothar 8 2005 Large-scale statistical parameter estimation in complex systems with an application to metabolic models. Zbl 1125.92020 Calvetti, Daniela; Somersalo, Erkki 8 2006 A stochastic roundoff error analysis for the fast Fourier transform. Zbl 0729.65116 Calvetti, Daniela 7 1991 Sampling-based analysis of a spatially distributed model for liver metabolism at steady state. Zbl 1274.62738 Calvetti, Daniela; Kuceyeski, Amy; Somersalo, Erkki 7 2008 Computation of a few small eigenvalues of a large matrix with application to liquid crystal modeling. Zbl 0922.65026 Baglama, J.; Calvetti, D.; Reichel, L.; Ruttan, A. 7 1998 Factorizations of Cauchy matrices. Zbl 0891.65023 Calvetti, D.; Reichel, L. 6 1997 On the solution of Cauchy systems of equations. Zbl 0897.65013 Calvetti, D.; Reichel, L. 6 1996 On an inverse eigenproblem for Jacobi matrices. Zbl 0937.65048 Calvetti, D.; Reichel, L. 6 1999 Iterative solution methods for large linear discrete ill-posed problems. Zbl 0979.93033 Calvetti, Daniela; Reichel, Lothar; Zhang, Qin 6 1999 Computational mathematical modeling. An integrated approach across scales. Zbl 1285.00035 Calvetti, Daniela; Somersalo, Erkki 6 2013 Dynamic activation model for a glutamatergic neurovascular unit. Zbl 1331.92027 Calvetti, Daniela; Somersalo, Erkki 6 2011 Artificial boundary conditions and domain truncation in electrical impedance tomography. I: Theory and preliminary results. Zbl 1369.35113 Calvetti, Daniela; Hadwin, Paul J.; Huttunen, Janne M. J.; Isaacson, David; Kaipio, Jari P.; McGivney, Debra; Somersalo, Erkki; Volzer, Joseph 6 2015 Computable error bounds and estimates for the conjugate gradient method. Zbl 0976.65033 Calvetti, D.; Morigi, S.; Reichel, L.; Sgallari, F. 6 2000 A Chebychev-Vandermonde solver. Zbl 0754.65008 Calvetti, D.; Reichel, L. 5 1992 A parallel implementation of the GMRES method. Zbl 0799.65036 Calvetti, Daniela; Petersen, Johnny; Reichel, Lothar 5 1993 Local regularization method applied to estimating oxygen consumption during muscle activities. Zbl 1082.62027 Calvetti, Daniela; Dash, Ranjan K.; Somersalo, Erkki; Cabrera, Marco E. 5 2006 A regularizing Lanczos iteration method for underdetermined linear systems. Zbl 0967.65052 Calvetti, D.; Reichel, L.; Sgallari, F.; Spaletta, G. 5 2000 Artificial boundary conditions and domain truncation in electrical impedance tomography. II: Stochastic extension of the boundary map. Zbl 1369.35114 Calvetti, Daniela; Hadwin, Paul J.; Huttunen, Janne M. J.; Kaipio, Jari P.; Somersalo, Erkki 5 2015 A spatially distributed computational model of brain cellular metabolism. Zbl 1347.92015 Calvetti, Daniela; Cheng, Yougan; Somersalo, Erkki 5 2015 Statistical elimination of boundary artefacts in image deblurring. Zbl 1072.62017 Calvetti, Daniela; Somersalo, Erkki 5 2005 An iterative method with error estimators. Zbl 0970.65028 Calvetti, D.; Morigi, S.; Reichel, L.; Sgallari, F. 5 2001 Bayesian particle filter algorithm for learning epidemic dynamics. Zbl 07765705 Calvetti, D.; Hoover, A.; Rose, J.; Somersalo, E. 5 2021 A computational model integrating brain electrophysiology and metabolism highlights the key role of extracellular potassium and oxygen. Zbl 1397.92276 Calvetti, D.; Capo Rangel, G.; Gerardo Giorda, L.; Somersalo, E. 5 2018 Priorconditioned CGLS-based quasi-MAP estimate, statistical stopping rule, and ranking of priors. Zbl 1392.65046 Calvetti, D.; Pitolli, F.; Prezioso, J.; Somersalo, E.; Vantaggi, B. 5 2017 Application of a block modified Chebyshev algorithm to the iterative solution of symmetric linear systems with multiple right hand side vectors. Zbl 0808.65024 Calvetti, D.; Reichel, L. 4 1994 Bayesian stationary state flux balance analysis for a skeletal muscle metabolic model. Zbl 1119.92024 Calvetti, Daniela; Heino, Jenni; Somersalo, Erkki; Tunyan, Knarik 4 2007 Polynomial zerofinders based on Szegő polynomials. Zbl 0971.65042 Ammar, G. S.; Calvetti, D.; Gragg, W. B.; Reichel, L. 4 2001 Partial eigenvalue assignment for large linear control systems. Zbl 1011.93055 Calvetti, D.; Lewis, B.; Reichel, L. 4 2001 A Bayesian filtering approach to layer stripping for electrical impedance tomography. Zbl 1469.35248 Calvetti, D.; Nakkireddy, S.; Somersalo, E. 4 2020 A hybrid stochastic-deterministic computational model accurately describes spatial dynamics and virus diffusion in HIV-1 growth competition assay. Zbl 1337.92129 Immonen, Taina; Gibson, Richard; Leitner, Thomas; Miller, Melanie A.; Arts, Eric J.; Somersalo, Erkki; Calvetti, Daniela 4 2012 The restarted QR-algorithm for eigenvalue computation of structured matrices. Zbl 1013.65031 Calvetti, Daniela; Kim, Sun-Mi; Reichel, Lothar 4 2002 Bayesian preconditioned CGLS for source separation in MEG time series. Zbl 1273.35315 Homa, Laura; Calvetti, Daniela; Hoover, Alexander; Somersalo, Erkki 4 2013 Gaussian quadrature applied to adaptive Chebyshev iteration. Zbl 0804.65039 Calvetti, D.; Golub, G. H.; Reichel, L. 3 1994 Large-scale Bayesian parameter estimation for a three-compartment cardiac metabolism model during ischemia. Zbl 1103.62106 Calvetti, Daniela; Hageman, Rachael; Somersalo, Erkki 3 2006 On the selection of poles in the single-input pole placement problem. Zbl 0986.93033 Calvetti, D.; Lewis, B.; Reichel, L. 3 1999 A reaction-diffusion model of CO\(_2\) influx into an oocyte. Zbl 1411.92112 Somersalo, Erkki; Occhipinti, Rossana; Boron, Walter F.; Calvetti, Daniela 3 2012 An \(L\)-ribbon for large underdetermined linear discrete ill-posed problems. Zbl 0994.65042 Calvetti, D.; Morigi, S.; Reichel, L.; Sgallari, F. 3 2000 Gauss quadrature applied to trust region computations. Zbl 1033.65039 Calvetti, Daniela; Reichel, Lothar 3 2003 Bayesian scientific computing. Zbl 1534.65001 Calvetti, Daniela; Somersalo, Erkki 3 2023 Approximation of continuous EIT data from electrode measurements with Bayesian methods. Zbl 1417.78006 Calvetti, D.; Nakkireddy, S.; Somersalo, Erkki 3 2019 Brain energetics plays a key role in the coordination of electrophysiology, metabolism and hemodynamics: evidence from an integrated computational model. Zbl 1416.92047 Capo Rangel, G.; Prezioso, J.; Gerardo-Giorda, L.; Somersalo, E.; Calvetti, D. 3 2019 A hybrid iterative method for symmetric positive definite linear systems. Zbl 0853.65042 Calvetti, D.; Reichel, L. 2 1996 Bayesian mixture models for source separation in MEG. Zbl 1234.92042 Calvetti, Daniela; Homa, Laura; Somersalo, Erkki 2 2011 Bayesian scientific computing. Zbl 1534.65001 Calvetti, Daniela; Somersalo, Erkki 3 2023 Overcomplete representation in a hierarchical Bayesian framework. Zbl 1493.62134 Pragliola, Monica; Calvetti, Daniela; Somersalo, Erkki 2 2022 Bayesian particle filter algorithm for learning epidemic dynamics. Zbl 07765705 Calvetti, D.; Hoover, A.; Rose, J.; Somersalo, E. 5 2021 Mathematics of data science. A computational approach to clustering and classification. Zbl 1471.68001 Calvetti, Daniela; Somersalo, Erkki 1 2021 Sparse reconstructions from few noisy data: analysis of hierarchical Bayesian models with generalized gamma hyperpriors. Zbl 1464.62365 Calvetti, Daniela; Pragliola, Monica; Somersalo, Erkki; Strang, Alexander 23 2020 Sparsity promoting hybrid solvers for hierarchical Bayesian inverse problems. Zbl 07303422 Calvetti, Daniela; Pragliola, Monica; Somersalo, Erkki 18 2020 A Bayesian filtering approach to layer stripping for electrical impedance tomography. Zbl 1469.35248 Calvetti, D.; Nakkireddy, S.; Somersalo, E. 4 2020 Bayesian mesh adaptation for estimating distributed parameters. Zbl 1459.65217 Calvetti, Daniela; Cosmo, Anna; Perotto, Simona; Somersalo, Erkki 2 2020 Computational model of electrode-induced microenvironmental effects on ph measurements near a cell membrane. Zbl 1446.35217 Calvetti, Daniela; Prezioso, Jamie; Occhipinti, Rossana; Boron, Walter F.; Somersalo, Erkki 1 2020 Hierachical Bayesian models and sparsity: \(\ell_2\)-magic. Zbl 1490.62078 Calvetti, D.; Somersalo, E.; Strang, A. 28 2019 A Bayesian conjugate gradient method (with discussion). Zbl 1430.62024 Cockayne, Jon; Oates, Chris J.; Ipsen, Ilse C. F.; Girolami, Mark 10 2019 Approximation of continuous EIT data from electrode measurements with Bayesian methods. Zbl 1417.78006 Calvetti, D.; Nakkireddy, S.; Somersalo, Erkki 3 2019 Brain energetics plays a key role in the coordination of electrophysiology, metabolism and hemodynamics: evidence from an integrated computational model. Zbl 1416.92047 Capo Rangel, G.; Prezioso, J.; Gerardo-Giorda, L.; Somersalo, E.; Calvetti, D. 3 2019 Estimating hemodynamic stimulus and blood vessel compliance from cerebral blood flow data. Zbl 1406.92130 Calvetti, D.; Prezioso, J.; Somersalo, E. 1 2019 Iterative updating of model error for Bayesian inversion. Zbl 1386.65056 Calvetti, Daniela; Dunlop, Matthew; Somersalo, Erkki; Stuart, Andrew 25 2018 Bayes meets Krylov: statistically inspired preconditioners for CGLS. Zbl 1392.65047 Calvetti, D.; Pitolli, F.; Somersalo, E.; Vantaggi, B. 19 2018 A computational model integrating brain electrophysiology and metabolism highlights the key role of extracellular potassium and oxygen. Zbl 1397.92276 Calvetti, D.; Capo Rangel, G.; Gerardo Giorda, L.; Somersalo, E. 5 2018 Inverse problems: from regularization to Bayesian inference. Zbl 07910815 Calvetti, D.; Somersalo, E. 2 2018 Priorconditioned CGLS-based quasi-MAP estimate, statistical stopping rule, and ranking of priors. Zbl 1392.65046 Calvetti, D.; Pitolli, F.; Prezioso, J.; Somersalo, E.; Vantaggi, B. 5 2017 Uncertainty quantification in flux balance analysis of spatially lumped and distributed models of neuron-astrocyte metabolism. Zbl 1350.92006 Calvetti, Daniela; Cheng, Yougan; Somersalo, Erkki 2 2016 A hierarchical Krylov-Bayes iterative inverse solver for MEG with physiological preconditioning. Zbl 1329.35346 Calvetti, D.; Pascarella, A.; Pitolli, F.; Somersalo, E.; Vantaggi, B. 20 2015 Artificial boundary conditions and domain truncation in electrical impedance tomography. I: Theory and preliminary results. Zbl 1369.35113 Calvetti, Daniela; Hadwin, Paul J.; Huttunen, Janne M. J.; Isaacson, David; Kaipio, Jari P.; McGivney, Debra; Somersalo, Erkki; Volzer, Joseph 6 2015 Artificial boundary conditions and domain truncation in electrical impedance tomography. II: Stochastic extension of the boundary map. Zbl 1369.35114 Calvetti, Daniela; Hadwin, Paul J.; Huttunen, Janne M. J.; Kaipio, Jari P.; Somersalo, Erkki 5 2015 A spatially distributed computational model of brain cellular metabolism. Zbl 1347.92015 Calvetti, Daniela; Cheng, Yougan; Somersalo, Erkki 5 2015 Statistical methods in imaging. 2nd edition. Zbl 1331.62322 Calvetti, Daniela; Somersalo, Erkki 1 2015 A CS decomposition for orthogonal matrices with application to eigenvalue computation. Zbl 1316.65044 Calvetti, D.; Reichel, L.; Xu, H. 1 2015 Variable order smoothness priors for ill-posed inverse problems. Zbl 1309.65045 Calvetti, Daniela; Somersalo, Erkki; Spies, Ruben 1 2015 Vectorized and parallel particle filter SMC parameter estimation for stiff ODEs. Zbl 1338.65008 Somersalo, Erkki; Calvetti, Daniela; Arnold, Andrea 1 2015 Parameter estimation for stiff deterministic dynamical systems via ensemble Kalman filter. Zbl 1302.93200 Arnold, Andrea; Calvetti, Daniela; Somersalo, Erkki 12 2014 Inverse problems in the Bayesian framework. Zbl 1305.00104 12 2014 Dynamic updating of numerical model discrepancy using sequential sampling. Zbl 1306.65271 Calvetti, Daniela; Ernst, Oliver; Somersalo, Erkki 11 2014 Modeling HIV-1 dynamics and fitness in cell culture across scales. Zbl 1297.92047 Immonen, Taina; Somersalo, Erkki; Calvetti, Daniela 1 2014 Linear multistep methods, particle filtering and sequential Monte Carlo. Zbl 1279.65089 Arnold, Andrea; Calvetti, Daniela; Somersalo, Erkki 13 2013 Computational mathematical modeling. An integrated approach across scales. Zbl 1285.00035 Calvetti, Daniela; Somersalo, Erkki 6 2013 Bayesian preconditioned CGLS for source separation in MEG time series. Zbl 1273.35315 Homa, Laura; Calvetti, Daniela; Hoover, Alexander; Somersalo, Erkki 4 2013 Left and right preconditioning for electrical impedance tomography with structural information. Zbl 1243.65133 Calvetti, Daniela; Mcgivney, Debra; Somersalo, Erkki 10 2012 A hybrid stochastic-deterministic computational model accurately describes spatial dynamics and virus diffusion in HIV-1 growth competition assay. Zbl 1337.92129 Immonen, Taina; Gibson, Richard; Leitner, Thomas; Miller, Melanie A.; Arts, Eric J.; Somersalo, Erkki; Calvetti, Daniela 4 2012 A reaction-diffusion model of CO\(_2\) influx into an oocyte. Zbl 1411.92112 Somersalo, Erkki; Occhipinti, Rossana; Boron, Walter F.; Calvetti, Daniela 3 2012 Dynamic activation model for a glutamatergic neurovascular unit. Zbl 1331.92027 Calvetti, Daniela; Somersalo, Erkki 6 2011 Bayesian mixture models for source separation in MEG. Zbl 1234.92042 Calvetti, Daniela; Homa, Laura; Somersalo, Erkki 2 2011 Statistical methods in imaging. Zbl 1259.62057 Calvetti, Daniela; Somersalo, Erkki 1 2011 Hierarchical regularization for edge-preserving reconstruction of PET images. Zbl 1188.41023 Bardsley, Johnathan M.; Calvetti, Daniela; Somersalo, Erkki 13 2010 Conditionally Gaussian hypermodels for cerebral source localization. Zbl 1176.62107 Calvetti, Daniela; Hakula, Harri; Pursiainen, Sampsa; Somersalo, Erkki 27 2009 Hypermodels in the Bayesian imaging framework. Zbl 1137.62062 Calvetti, Daniela; Somersalo, Erkki 48 2008 Sampling-based analysis of a spatially distributed model for liver metabolism at steady state. Zbl 1274.62738 Calvetti, Daniela; Kuceyeski, Amy; Somersalo, Erkki 7 2008 Dynamic Bayesian sensitivity analysis of a myocardial metabolic model. Zbl 1133.92009 Calvetti, D.; Hageman, R.; Occhipinti, R.; Somersalo, E. 1 2008 An introduction to Bayesian scientific computing. Ten lectures on subjective computing. Zbl 1137.65010 Calvetti, Daniela; Somersalo, Erkki 105 2007 A Gaussian hypermodel to recover blocky objects. Zbl 1112.62018 Calvetti, Daniela; Somersalo, Erkki 23 2007 Preconditioned iterative methods for linear discrete ill-posed problems from a Bayesian inversion perspective. Zbl 1101.65043 Calvetti, Daniela 20 2007 Bayesian stationary state flux balance analysis for a skeletal muscle metabolic model. Zbl 1119.92024 Calvetti, Daniela; Heino, Jenni; Somersalo, Erkki; Tunyan, Knarik 4 2007 Microlocal sequential regularization in imaging. Zbl 1141.94305 Calvetti, Daniela; Somersalo, Erkki 1 2007 Aristotelian prior boundary conditions. Zbl 1095.94005 Calvetti, Daniela; Kaipio, Jari P.; Someralo, Erkki 16 2006 Large-scale statistical parameter estimation in complex systems with an application to metabolic models. Zbl 1125.92020 Calvetti, Daniela; Somersalo, Erkki 8 2006 Local regularization method applied to estimating oxygen consumption during muscle activities. Zbl 1082.62027 Calvetti, Daniela; Dash, Ranjan K.; Somersalo, Erkki; Cabrera, Marco E. 5 2006 Large-scale Bayesian parameter estimation for a three-compartment cardiac metabolism model during ischemia. Zbl 1103.62106 Calvetti, Daniela; Hageman, Rachael; Somersalo, Erkki 3 2006 Priorconditioners for linear systems. Zbl 1087.65044 Calvetti, Daniela; Somersalo, Erkki 26 2005 Invertible smoothing preconditioners for linear discrete ill-posed problems. Zbl 1072.65057 Calvetti, D.; Reichel, L.; Shuibi, A. 23 2005 Quadrature rules based on the Arnoldi process. Zbl 1078.65019 Calvetti, Daniela; Kim, Sun-Mi; Reichel, Lothar 8 2005 Statistical elimination of boundary artefacts in image deblurring. Zbl 1072.62017 Calvetti, Daniela; Somersalo, Erkki 5 2005 Tikhonov regularization of large symmetric problems. Zbl 1164.65377 Calvetti, D.; Reichel, L.; Shuibi, A. 2 2005 Tikhonov regularization with a solution constraint. Zbl 1081.65033 Calvetti, Daniela; Reichel, Lothar 18 2004 Nonnegativity and iterative methods for ill-posed problems. Zbl 1077.65041 Calvetti, D.; Landi, G.; Reichel, L.; Sgallari, F. 18 2004 Tikhonov regularization with nonnegativity constraint. Zbl 1069.65047 Calvetti, D.; Lewis, B.; Reichel, L.; Sgallari, F. 16 2004 L-curve and curvature bounds for Tikhonov regularization. Zbl 1049.65029 Calvetti, D.; Reichel, L.; Shuibi, A. 15 2004 Tikhonov regularization of large linear problems. Zbl 1038.65048 Calvetti, Daniela; Reichel, Lothar 62 2003 IRBL: An implicitly restarted Block-Lanczos method for large-scale Hermitian eigenproblems. Zbl 1044.65027 Baglama, J.; Calvetti, D.; Reichel, L. 37 2003 Symmetric Gauss-Lobatto and modified anti-Gauss rules. Zbl 1056.41017 Calvetti, Daniela; Reichel, Lothar 17 2003 Algorithm 827: irbleigs: a Matlab program for computing a few eigenpairs of a large sparse Hermitian matrix. Zbl 1070.65529 Baglama, J.; Calvetti, D.; Reichel, L. 11 2003 On the evaluation of polynomial coefficients. Zbl 1035.65156 Calvetti, Daniela; Reichel, Lothar 11 2003 Enriched Krylov subspace methods for ill-posed problems. Zbl 1017.65025 Calvetti, D.; Reichel, L.; Shuibi, A. 10 2003 Gauss quadrature applied to trust region computations. Zbl 1033.65039 Calvetti, Daniela; Reichel, Lothar 3 2003 A modified companion matrix method based on Newton polynomials. Zbl 1044.65038 Calvetti, D.; Reichel, L.; Sgallari, F. 2 2003 Pole placement preconditioning. Zbl 1018.65059 Calvetti, D.; Reichel, L. 1 2003 On the regularizing properties of the GMRES method. Zbl 1022.65044 Calvetti, D.; Lewis, B.; Reichel, L. 42 2002 \(L\)-curve curvature bounds via Lanczos bidiagonalization. Zbl 1029.65041 Calvetti, D.; Hansen, P. C.; Reichel, L. 31 2002 GMRES, L-curves, and discrete ill-posed problems. Zbl 1003.65040 Calvetti, D.; Lewis, B.; Reichel, L. 27 2002 Lanczos-based exponential filtering for discrete ill-posed problems. Zbl 0997.65068 Calvetti, D.; Reichel, L. 15 2002 The restarted QR-algorithm for eigenvalue computation of structured matrices. Zbl 1013.65031 Calvetti, Daniela; Kim, Sun-Mi; Reichel, Lothar 4 2002 On the choice of subspace for iterative methods for linear discrete ill-posed problems. Zbl 0994.65043 Calvetti, Daniela; Lewis, Bryan; Reichel, Lothar 33 2001 On the solution of large Sylvester-observer equations. Zbl 1055.65079 Calvetti, D.; Lewis, B.; Reichel, L. 12 2001 An iterative method with error estimators. Zbl 0970.65028 Calvetti, D.; Morigi, S.; Reichel, L.; Sgallari, F. 5 2001 Polynomial zerofinders based on Szegő polynomials. Zbl 0971.65042 Ammar, G. S.; Calvetti, D.; Gragg, W. B.; Reichel, L. 4 2001 Partial eigenvalue assignment for large linear control systems. Zbl 1011.93055 Calvetti, D.; Lewis, B.; Reichel, L. 4 2001 Tikhonov regularization and the L-curve for large discrete ill-posed problems. Zbl 0977.65030 Calvetti, D.; Morigi, S.; Reichel, L.; Sgallari, F. 84 2000 Computation of Gauss-Kronrod quadrature rules. Zbl 0947.65022 Calvetti, D.; Golub, G. H.; Gragg, W. B.; Reichel, L. 52 2000 GMRES-type methods for inconsistent systems. Zbl 0963.65042 Calvetti, D.; Lewis, B.; Reichel, L. 34 2000 Iterative methods for large continuation problems. Zbl 0974.65052 Calvetti, D.; Reichel, L. 9 2000 Computable error bounds and estimates for the conjugate gradient method. Zbl 0976.65033 Calvetti, D.; Morigi, S.; Reichel, L.; Sgallari, F. 6 2000 A regularizing Lanczos iteration method for underdetermined linear systems. Zbl 0967.65052 Calvetti, D.; Reichel, L.; Sgallari, F.; Spaletta, G. 5 2000 An \(L\)-ribbon for large underdetermined linear discrete ill-posed problems. Zbl 0994.65042 Calvetti, D.; Morigi, S.; Reichel, L.; Sgallari, F. 3 2000 Estimation of the \(L\)-curve via Lanczos bidiagonalization. Zbl 0945.65044 Calvetti, D.; Golub, G. H.; Reichel, L. 52 1999 Adaptively preconditioned GMRES algorithms. Zbl 0954.65026 Baglama, J.; Calvetti, D.; Golub, G. H.; Reichel, L. 42 1999 Computation of Gauss-Kronrod quadrature rules with non-positive weights. Zbl 0954.65017 Ammar, G. S.; Calvetti, D.; Reichel, L. 13 1999 Applications of anti-Gauss quadrature rules in linear algebra. Zbl 0938.65075 Calvetti, Daniela; Reichel, Lothar; Sgallari, Fiorella 10 1999 Iterative exponential filtering for large discrete ill-posed problems. Zbl 0947.65039 Calvetti, D.; Reichel, L.; Zhang, Q. 8 1999 On an inverse eigenproblem for Jacobi matrices. Zbl 0937.65048 Calvetti, D.; Reichel, L. 6 1999 Iterative solution methods for large linear discrete ill-posed problems. Zbl 0979.93033 Calvetti, Daniela; Reichel, Lothar; Zhang, Qin 6 1999 On the selection of poles in the single-input pole placement problem. Zbl 0986.93033 Calvetti, D.; Lewis, B.; Reichel, L. 3 1999 A block-Lanczos method for large continuation problems. Zbl 0942.65054 Calvetti, D.; Reichel, L. 1 1999 A computable error bound for matrix functionals. Zbl 0937.65054 Calvetti, D.; Golub, G. H.; Reichel, L. 1 1999 ...and 24 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,615 Authors 141 Reichel, Lothar 58 Calvetti, Daniela 35 Somersalo, Erkki 26 Spalević, Miodrag M. 22 Sgallari, Fiorella 21 Jbilou, Khalide 18 Morigi, Serena 16 Gazzola, Silvia 15 Chung, Julianne M. 15 Kaipio, Jari P. 14 Benner, Peter 13 Bentbib, Abdeslem Hafid 13 Hansen, Per Christian 12 Rodriguez, Giuseppe 11 Olshevsky, Vadim 10 Baglama, James 10 Bardsley, Johnathan M. 10 Hochstenbach, Michiel E. 10 Sadok, Hassane 9 Bouhamidi, Abderrahman 9 Hyvönen, Nuutti 9 Noschese, Silvia 9 Novati, Paolo 8 Buccini, Alessandro 8 Donatelli, Marco 8 Hajarian, Masoud 8 Hayami, Ken 8 Lanza, Alessandro 8 Pitolli, Francesca 8 Pragliola, Monica 8 Stuart, Andrew M. 7 Arnold, Andrea 7 Dehghan Takht Fooladi, Mehdi 7 Huang, Guang-Xin 7 Landi, Germana 7 Nagy, James Gerard 7 Saad, Yousef 7 Saibaba, Arvind Krishna 7 Tambue, Antoine 7 Toutounian, Faezeh 7 Wang, Qingwen 7 Wei, Yimin 6 Bella, Tom 6 Chung, Matthias 6 Dax, Achiya 6 Dong, Yiqiu 6 Đukić, Dušan Lj. 6 Heyouni, Mohammed 6 Jagels, Carl F. 6 Morgan, Ronald B. 6 Wang, Xiang 5 Arridge, Simon R. 5 Caliari, Marco 5 Cui, Tiangang 5 Gelb, Anne 5 Gohberg, Israel 5 Guo, Zhichang 5 Hauptmann, Andreas S. 5 Hosseini, Bamdad 5 Jiang, Jiahua 5 Marzouk, Youssef M. 5 Pranic, Miroslav S. 5 Pursiainen, Sampsa 5 Sanz-Alonso, Daniel 5 Strakoš, Zdeněk 5 Strang, Alexander 5 Wu, Gang 5 Xi, Yuanzhe 4 Abdulle, Assyr 4 Afkham, Babak Maboudi 4 Ascher, Uri M. 4 Behera, Ratikanta 4 de la Calle Ysern, Bernardo 4 de Sturler, Eric 4 Deng, Zichen 4 Duintjer Tebbens, Jurjen 4 Eidelman, Yuli 4 Faßbender, Heike 4 Fenu, Caterina 4 Gemignani, Luca 4 Gerardo-Giorda, Luca 4 Golub, Gene Howard 4 Hasçelik, Ali İhsan 4 He, ZhuoHeng 4 Helin, Tapio 4 Hu, Weipeng 4 Huttunen, Janne M. J. 4 Jia, Junxiong 4 Jia, Zhongxiao 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 Mutavdžić Djukić, Rada M. 4 Nicholson, Ruanui ...and 1,515 more Authors all top 5 Cited in 187 Serials 107 Journal of Computational and Applied Mathematics 65 Inverse Problems 55 Linear Algebra and its Applications 52 Applied Numerical Mathematics 51 SIAM Journal on Scientific Computing 50 Numerical Algorithms 40 Numerical Linear Algebra with Applications 37 BIT 35 Applied Mathematics and Computation 29 Computers & Mathematics with Applications 29 SIAM/ASA Journal on Uncertainty Quantification 22 Journal of Computational Physics 20 Computer Methods in Applied Mechanics and Engineering 19 Mathematics of Computation 16 ETNA. 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English Series 2 Mathematical and Computer Modelling 2 Journal of Integral Equations and Applications 2 Computational Statistics 2 Pattern Recognition 2 Computational Statistics and Data Analysis 2 Journal of Inverse and Ill-Posed Problems 2 ELA. The Electronic Journal of Linear Algebra 2 Abstract and Applied Analysis 2 Optimization Methods & Software 2 Communications in Nonlinear Science and Numerical Simulation 2 International Journal of Computational Methods 2 The Journal of Prime Research in Mathematics 2 Communications in Computational Physics 2 Discrete and Continuous Dynamical Systems. Series S 2 Algorithms 2 Science China. 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Serie Quarta 1 Applied Mathematics and Optimization 1 Biometrical Journal 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 ...and 87 more Serials all top 5 Cited in 48 Fields 837 Numerical analysis (65-XX) 187 Linear and multilinear algebra; matrix theory (15-XX) 160 Statistics (62-XX) 117 Partial differential equations (35-XX) 98 Information and communication theory, circuits (94-XX) 88 Biology and other natural sciences (92-XX) 78 Computer science (68-XX) 63 Approximations and expansions (41-XX) 41 Systems theory; control (93-XX) 38 Probability theory and stochastic processes (60-XX) 36 Operations research, mathematical programming (90-XX) 35 Optics, electromagnetic theory (78-XX) 30 Mechanics of deformable solids (74-XX) 29 Ordinary differential equations (34-XX) 24 Calculus of variations and optimal control; optimization (49-XX) 23 Operator theory (47-XX) 23 Fluid mechanics (76-XX) 19 Integral equations (45-XX) 15 Harmonic analysis on Euclidean spaces (42-XX) 13 Combinatorics (05-XX) 11 Geophysics (86-XX) 9 Dynamical systems and ergodic theory (37-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 Special functions (33-XX) 7 Real functions (26-XX) 7 Functions of a complex variable (30-XX) 6 Field theory and polynomials (12-XX) 6 Integral transforms, operational calculus (44-XX) 5 Potential theory (31-XX) 5 Classical thermodynamics, heat transfer (80-XX) 5 Statistical mechanics, structure of matter (82-XX) 3 Number theory (11-XX) 2 History and biography (01-XX) 2 Sequences, series, summability (40-XX) 2 Functional analysis (46-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Mechanics of particles and systems (70-XX) 2 Quantum theory (81-XX) 1 General and overarching topics; collections (00-XX) 1 Commutative algebra (13-XX) 1 Measure and integration (28-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 Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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