Edit Profile (opens in new tab) Dieci, Luca Co-Author Distance Author ID: dieci.luca Published as: Dieci, Luca; Dieci, L. External Links: MGP Documents Indexed: 110 Publications since 1986, including 9 Additional arXiv Preprints 4 Contributions as Editor Co-Authors: 37 Co-Authors with 103 Joint Publications 913 Co-Co-Authors all top 5 Co-Authors 10 single-authored 16 Elia, Cinzia 16 Van Vleck, Erik S. 15 Lopez, Luciano 14 Papini, Alessandra 12 Pugliese, Alessandro 8 Russell, Robert D. 7 Difonzo, Fabio Vito 5 Eirola, Timo 5 Zhou, Hao-Min 4 Gasparo, Maria Grazia 4 Lorenz, Jens 3 Friedman, Mark J. 3 Guglielmi, Nicola 2 Bader, Georg 2 Cui, Jianbo 2 Demmel, James Weldon 2 Estep, Donald J. 2 Li, Wuchen 2 Morini, Benedetta 2 Omarov, Daniyar 2 Osborne, Michael Robert 2 Rebaza, Jorge 1 Beyn, Wolf-Jürgen 1 Bramley, S. 1 Cash, Jeff R. 1 Chern, Jann-Long 1 Chow, Shui-Nee 1 Hairer, Ernst 1 Jolly, Michael Summerfield 1 Manetta, Manuela 1 Pasquali, Aldo 1 Pi, Dingheng 1 Rasmussen, Bryan 1 Rosa, Ricardo M. S. 1 Sanz-Serna, Jesús María 1 Spadoni, Alessandro 1 Sukumar, Natarajan 1 Van de Velde, Eric F. 1 Walsh, J. D. III 1 Walsh, Joseph D. 1 Zennaro, Marino all top 5 Serials 9 SIAM Journal on Numerical Analysis 8 Journal of Computational and Applied Mathematics 8 SIAM Journal on Matrix Analysis and Applications 8 Journal of Dynamics and Differential Equations 6 Applied Numerical Mathematics 6 Numerical Algorithms 5 Mathematics and Computers in Simulation 5 Numerische Mathematik 5 Linear Algebra and its Applications 5 Discrete and Continuous Dynamical Systems. Series B 4 BIT 4 Journal of Differential Equations 3 SIAM Journal on Scientific and Statistical Computing 3 SIAM Journal on Scientific Computing 2 Computers & Mathematics with Applications 2 Mathematics of Computation 2 Communications in Nonlinear Science and Numerical Simulation 2 Mediterranean Journal of Mathematics 1 Journal of Computational Physics 1 Applied Mathematics and Computation 1 Automatica 1 Calcolo 1 Journal of Nonlinear Science 1 Numerical Linear Algebra with Applications 1 Lecture Notes in Mathematics 1 Statistical Analysis and Data Mining 1 Discrete and Continuous Dynamical Systems. Series S all top 5 Fields 86 Numerical analysis (65-XX) 57 Ordinary differential equations (34-XX) 25 Linear and multilinear algebra; matrix theory (15-XX) 23 Dynamical systems and ergodic theory (37-XX) 7 Partial differential equations (35-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 5 Systems theory; control (93-XX) 3 General and overarching topics; collections (00-XX) 2 Operations research, mathematical programming (90-XX) 1 History and biography (01-XX) 1 Approximations and expansions (41-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 87 Publications have been cited 1,092 times in 590 Documents Cited by ▼ Year ▼ On smooth decompositions of matrices. Zbl 0930.15014 Dieci, Luca; Eirola, Timo 67 1999 On the computation of Lyapunov exponents for continuous dynamical systems. Zbl 0891.65090 Dieci, Luca; Russell, Robert D.; Van Vleck, Erik S. 66 1997 Unitary integrators and applications to continuous orthonormalization techniques. Zbl 0815.65096 Dieci, Luca; Russell, Robert D.; van Vleck, Erik S. 52 1994 Sliding motion in Filippov differential systems: theoretical results and a computational approach. Zbl 1197.34009 Dieci, Luca; Lopez, Luciano 47 2009 Numerical integration of the differential Riccati equation and some related issues. Zbl 0768.65037 Dieci, Luca 44 1992 A survey of numerical methods for IVPs of ODEs with discontinuous right-hand side. Zbl 1246.65111 Dieci, Luca; Lopez, Luciano 44 2012 Lyapunov spectral intervals: Theory and computation. Zbl 1021.65067 Dieci, Luca; Van Vleck, Erik S. 41 2002 Lyapunov and Sacker-Sell spectral intervals. Zbl 1130.34027 Dieci, Luca; Van Vleck, Erik S. 33 2007 Computation of a few Lyapunov exponents for continuous and discrete dynamical systems. Zbl 0834.65069 Dieci, Luca; van Vleck, Erik S. 33 1995 Sliding motion on discontinuity surfaces of high co-dimension. A construction for selecting a Filippov vector field. Zbl 1219.34015 Dieci, Luca; Lopez, Luciano 32 2011 A Filippov sliding vector field on an attracting co-dimension 2 discontinuity surface, and a limited loss-of-attractivity analysis. Zbl 1275.34018 Dieci, L.; Elia, C.; Lopez, L. 30 2013 Positive definiteness in the numerical solution of Riccati differential equations. Zbl 0791.65050 Dieci, Luca; Eirola, Timo 23 1994 Padé approximation for the exponential of a block triangular matrix. Zbl 0958.65050 Dieci, Luca; Papini, Alessandra 23 2000 Computational techniques for real logarithms of matrices. Zbl 0870.65036 Dieci, Luca; Morini, Benedetta; Papini, Alessandra 22 1996 A Riccati transformation method for solving linear BVPs. I: Theoretical aspects. Zbl 0664.65074 Dieci, Luca; Osborne, Michael R.; Russell, Robert D. 19 1988 On the error in computing Lyapunov exponents by QR methods. Zbl 1083.65069 Dieci, Luca; Van Vleck, Erik S. 19 2005 Fundamental matrix solutions of piecewise smooth differential systems. Zbl 1215.65121 Dieci, Luca; Lopez, Luciano 18 2011 Perturbation theory for approximation of Lyapunov exponents by QR methods. Zbl 1166.34319 Dieci, Luca; Van Vleck, Erik S. 17 2006 Numerical calculation of invariant tori. Zbl 0725.65074 Dieci, Luca; Lorenz, Jens; Russell, Robert D. 17 1991 A comparison of Filippov sliding vector fields in codimension 2. Zbl 1302.34018 Dieci, Luca; Difonzo, Fabio 17 2014 Continuation of invariant subspaces. Zbl 1055.65054 Dieci, L.; Friedman, M. J. 16 2001 The moments sliding vector field on the intersection of two manifolds. Zbl 1366.34024 Dieci, Luca; Difonzo, Fabio 16 2017 Computing connecting orbits via an improved algorithm for continuing invariant subspaces. Zbl 0967.34008 Demmel, J. W.; Dieci, L.; Friedman, M. J. 15 2000 Smoothness and periodicity of some matrix decompositions. Zbl 0981.65048 Chern, Jann-Long; Dieci, Luca 15 2000 Exponential dichotomy on the real line: SVD and QR methods. Zbl 1205.34062 Dieci, Luca; Elia, Cinzia; van Vleck, Erik 15 2010 A Riccati transformation method for solving linear BVPs. II: Computational aspects. Zbl 0664.65075 Dieci, Luca; Osborne, Michael R.; Russell, Robert D. 14 1988 The singular value decomposition to approximate spectra of dynamical systems. Theoretical aspects. Zbl 1139.93014 Dieci, L.; Elia, C. 12 2006 Sliding motion on the intersection of two manifolds: spirally attractive case. Zbl 1463.34050 Dieci, L. 12 2015 Numerical solution of discontinuous differential systems: Approaching the discontinuity surface from one side. Zbl 1268.65093 Dieci, Luca; Lopez, Luciano 12 2013 Two-parameter SVD: coalescing singular values and periodicity. Zbl 1232.65064 Dieci, Luca; Pugliese, Alessandro 12 2009 On the error in QR integration. Zbl 1170.65068 Dieci, Luca; van Vleck, Erik S. 11 2008 Computation of invariant tori by the method of characteristics. Zbl 0928.65154 Dieci, Luca; Lorenz, Jens 11 1995 Point-to-periodic and periodic-to-periodic connections. Zbl 1052.65113 Dieci, Luca; Rebaza, Jorge 11 2004 Periodic orbits for planar piecewise smooth systems with a line of discontinuity. Zbl 1320.34063 Dieci, L.; Elia, C. 11 2014 Block \(M\)-matrices and computation of invariant tori. Zbl 0755.65085 Dieci, Luca; Lorenz, Jens 11 1992 Regularizing piecewise smooth differential systems: co-dimension 2 discontinuity surface. Zbl 1271.34009 Dieci, Luca; Guglielmi, Nicola 11 2013 Entropy dissipation semi-discretization schemes for Fokker-Planck equations. Zbl 1416.65212 Chow, Shui-Nee; Dieci, Luca; Li, Wuchen; Zhou, Haomin 9 2019 Computation of orthonormal factors for fundamental solution matrices. Zbl 0941.65066 Dieci, Luca; Van Vleck, Erik S. 9 1999 Singular values of two-parameter matrices: An algorithm to accurately find their intersections. Zbl 1162.65328 Dieci, Luca; Pugliese, Alessandro 9 2008 Preserving monotonicity in the numerical solution of Riccati differential equations. Zbl 0864.65048 Dieci, Luca; Eirola, Timo 9 1996 Hermitian matrices depending on three parameters: Coalescing eigenvalues. Zbl 1244.15005 Dieci, Luca; Pugliese, Alessandro 8 2012 SVD algorithms to approximate spectra of dynamical systems. Zbl 1166.65363 Dieci, L.; Elia, C. 8 2008 Lyapunov and other spectra: a survey. Zbl 1494.93081 Dieci, L.; Van Vleck, E. S. 8 2002 Detecting exponential dichotomy on the real line: SVD and QR algorithms. Zbl 1228.65123 Dieci, Luca; Elia, Cinzia; Van Vleck, Erik 8 2011 One-sided direct event location techniques in the numerical solution of discontinuous differential systems. Zbl 1338.65181 Dieci, Luca; Lopez, Luciano 8 2015 Limit cycles for regularized discontinuous dynamical systems with a hyperplane of discontinuity. Zbl 1377.34025 Dieci, Luca; Elia, Cinzia; Pi, Dingheng 8 2017 Approximating coalescing points for eigenvalues of Hermitian matrices of three parameters. Zbl 1273.15008 Dieci, Luca; Papini, Alessandra; Pugliese, Alessandro 8 2013 Piecewise smooth systems near a co-dimension 2 discontinuity manifold: can one say what should happen? Zbl 1372.34034 Elia, Cinzia; Dieci, Luca 7 2016 On real logarithms of nearby matrices and structured matrix interpolation. Zbl 0930.65045 Dieci, Luca; Morini, Benedetta; Papini, Alessandra; Pasquali, Aldo 6 1999 Jacobian free computation of Lyapunov exponents. Zbl 1034.37049 Dieci, Luca 6 2002 Conditioning and Padé approximation of the logarithm of a matrix. Zbl 0954.65034 Dieci, Luca; Papini, Alessandra 6 2000 Consideration on computing real logarithms of matrices, Hamiltonian logarithms, and skew-symmetric logarithms. Zbl 0862.65027 Dieci, Luca 6 1996 Smooth SVD on the Lorentz group with application to computation of Lyapunov exponents. Zbl 1047.65108 Dieci, L.; Elia, C.; Lopez, L. 6 2004 A new model for realistic random perturbations of stochastic oscillators. Zbl 1345.34110 Dieci, Luca; Li, Wuchen; Zhou, Haomin 6 2016 Lyapunov-type numbers and torus breakdown: Numerical aspects and a case study. Zbl 0885.65079 Dieci, Luca; Lorenz, Jens 5 1997 Real Hamiltonian logarithm of a symplectic matrix. Zbl 0937.15011 Dieci, Luca 5 1998 Uniqueness of Filippov sliding vector field on the intersection of two surfaces in \(\mathbb R^3\) and implications for stability of periodic orbits. Zbl 1333.34022 Dieci, L.; Elia, C.; Lopez, L. 5 2015 Path following by SVD. Zbl 1157.65374 Dieci, Luca; Gasparo, Maria Grazia; Papini, Alessandra 4 2006 Lyapunov exponents of systems evolving on quadratic groups. Zbl 1037.65079 Dieci, Luca; Lopez, Luciano 4 2003 Block iterations and compactification for periodic block dominant systems associated to invariant tori approximation. Zbl 0831.65035 Dieci, Luca; Bader, Georg 4 1995 Erratum: Point-to-periodic and periodic-to-periodic connections. Zbl 1075.65145 Dieci, Luca; Rebaza, Jorge 4 2004 Applications of smooth orthogonal factorizations of matrices. Zbl 0958.65139 Dieci, Luca; Eirola, Timo 3 2000 Solution of the systems associated with invariant tori approximation. II: Multigrid methods. Zbl 0840.65099 Dieci, Luca; Bader, Georg 3 1994 Conditioning of the exponential of a block triangular matrix. Zbl 0992.65042 Dieci, Luca; Papini, Alessandra 3 2001 Smooth singular value decomposition on the symplectic group and Lyapunov exponents approximation. Zbl 1117.65052 Dieci, Luca; Lopez, Luciano 3 2006 A continuation multiple shooting method for Wasserstein geodesic equation. Zbl 1498.49087 Cui, Jianbo; Dieci, Luca; Zhou, Haomin 3 2022 Sharp sufficient attractivity conditions for sliding on a co-dimension 2 discontinuity surface. Zbl 07313342 Dieci, L.; Elia, C.; Lopez, L. 3 2015 Locating coalescing singular values of large two-parameter matrices. Zbl 1210.65089 Dieci, Luca; Gasparo, M. Grazia; Papini, Alessandra; Pugliese, Alessandro 3 2011 On the inverse of some sign matrices and on the moments sliding vector field on the intersection of several manifolds: nodally attractive case. Zbl 1383.34024 Dieci, Luca; Difonzo, Fabio 3 2017 Numerical solution of eigenvalue problems for linear boundary value ODEs. Zbl 0726.65101 Bramley, S.; Dieci, L.; Russell, R. D. 3 1991 Some stability aspects of schemes for the adaptive integration of stiff initial value problems. Zbl 0738.65072 Dieci, Luca; Estep, Donald 3 1991 The boundary method for semi-discrete optimal transport partitions and Wasserstein distance computation. Zbl 1432.65080 Dieci, Luca; Walsh, J. D. III 3 2019 Coalescing points for eigenvalues of banded matrices depending on parameters with application to banded random matrix functions. Zbl 1448.65026 Dieci, Luca; Papini, Alessandra; Pugliese, Alessandro 2 2019 Continuation of singular value decompositions. Zbl 1170.65313 Gasparo, Maria Grazia; Dieci, Luca; Papini, Alessandra 2 2005 Error in approximation of Lyapunov exponents on intertial manifolds: the Kuramoto-Sivashinsky equation. Zbl 1162.35401 Dieci, L.; Jolly, M. S.; Rosa, R.; Van Vleck, E. S. 2 2008 Riccati and other methods for singularly perturbed BVP. Zbl 0672.65072 Dieci, Luca; Russell, Robert D. 2 1986 On Filippov solutions of discontinuous DAEs of index 1. Zbl 1468.34022 Dieci, L.; Elia, C.; Lopez, Luciano 2 2021 Sliding integration with no projection. Zbl 1437.65071 Dieci, Luca 2 2020 Time discretizations of Wasserstein-Hamiltonian flows. Zbl 1497.65255 Cui, Jianbo; Dieci, Luca; Zhou, Haomin 2 2022 Minimum variation solutions for sliding vector fields on the intersection of two surfaces in \(\mathbb{R}^3\). Zbl 1335.34035 Dieci, Luca; Difonzo, Fabio 2 2016 Periodic orbits of planar discontinuous system under discretization. Zbl 1398.65200 Dieci, Luca; Eirola, Timo; Elia, Cinzia 2 2018 On the decoupling of dichotomic linear Hamiltonians. Considerations on integrating symmetric differential Riccati equations. Zbl 0780.65036 Dieci, Luca 1 1993 Continuous orthonormalization for linear two-point boundary value problems revisited. Zbl 0942.65084 Dieci, Luca; van Vleck, Erik S. 1 2000 A geometrical method for the approximation of invariant tori. Zbl 1139.37013 Rasmussen, Bryan; Dieci, Luca 1 2008 Smoothness of Hessenberg and bidiagonal forms. Zbl 1164.65015 Dieci, Luca; Gasparo, Maria Grazia; Papini, Alessandra 1 2008 Continuous decompositions and coalescing eigenvalues for matrices depending on parameters. Zbl 1318.15004 Dieci, Luca; Papini, Alessandra; Pugliese, Alessandro; Spadoni, Alessandro 1 2014 Smooth to discontinuous systems: a geometric and numerical method for slow-fast dynamics. Zbl 1398.65201 Dieci, Luca; Elia, Cinzia 1 2018 A continuation multiple shooting method for Wasserstein geodesic equation. Zbl 1498.49087 Cui, Jianbo; Dieci, Luca; Zhou, Haomin 3 2022 Time discretizations of Wasserstein-Hamiltonian flows. Zbl 1497.65255 Cui, Jianbo; Dieci, Luca; Zhou, Haomin 2 2022 On Filippov solutions of discontinuous DAEs of index 1. Zbl 1468.34022 Dieci, L.; Elia, C.; Lopez, Luciano 2 2021 Sliding integration with no projection. Zbl 1437.65071 Dieci, Luca 2 2020 Entropy dissipation semi-discretization schemes for Fokker-Planck equations. Zbl 1416.65212 Chow, Shui-Nee; Dieci, Luca; Li, Wuchen; Zhou, Haomin 9 2019 The boundary method for semi-discrete optimal transport partitions and Wasserstein distance computation. Zbl 1432.65080 Dieci, Luca; Walsh, J. D. III 3 2019 Coalescing points for eigenvalues of banded matrices depending on parameters with application to banded random matrix functions. Zbl 1448.65026 Dieci, Luca; Papini, Alessandra; Pugliese, Alessandro 2 2019 Periodic orbits of planar discontinuous system under discretization. Zbl 1398.65200 Dieci, Luca; Eirola, Timo; Elia, Cinzia 2 2018 Smooth to discontinuous systems: a geometric and numerical method for slow-fast dynamics. Zbl 1398.65201 Dieci, Luca; Elia, Cinzia 1 2018 The moments sliding vector field on the intersection of two manifolds. Zbl 1366.34024 Dieci, Luca; Difonzo, Fabio 16 2017 Limit cycles for regularized discontinuous dynamical systems with a hyperplane of discontinuity. Zbl 1377.34025 Dieci, Luca; Elia, Cinzia; Pi, Dingheng 8 2017 On the inverse of some sign matrices and on the moments sliding vector field on the intersection of several manifolds: nodally attractive case. Zbl 1383.34024 Dieci, Luca; Difonzo, Fabio 3 2017 Piecewise smooth systems near a co-dimension 2 discontinuity manifold: can one say what should happen? Zbl 1372.34034 Elia, Cinzia; Dieci, Luca 7 2016 A new model for realistic random perturbations of stochastic oscillators. Zbl 1345.34110 Dieci, Luca; Li, Wuchen; Zhou, Haomin 6 2016 Minimum variation solutions for sliding vector fields on the intersection of two surfaces in \(\mathbb{R}^3\). Zbl 1335.34035 Dieci, Luca; Difonzo, Fabio 2 2016 Sliding motion on the intersection of two manifolds: spirally attractive case. Zbl 1463.34050 Dieci, L. 12 2015 One-sided direct event location techniques in the numerical solution of discontinuous differential systems. Zbl 1338.65181 Dieci, Luca; Lopez, Luciano 8 2015 Uniqueness of Filippov sliding vector field on the intersection of two surfaces in \(\mathbb R^3\) and implications for stability of periodic orbits. Zbl 1333.34022 Dieci, L.; Elia, C.; Lopez, L. 5 2015 Sharp sufficient attractivity conditions for sliding on a co-dimension 2 discontinuity surface. Zbl 07313342 Dieci, L.; Elia, C.; Lopez, L. 3 2015 A comparison of Filippov sliding vector fields in codimension 2. Zbl 1302.34018 Dieci, Luca; Difonzo, Fabio 17 2014 Periodic orbits for planar piecewise smooth systems with a line of discontinuity. Zbl 1320.34063 Dieci, L.; Elia, C. 11 2014 Continuous decompositions and coalescing eigenvalues for matrices depending on parameters. Zbl 1318.15004 Dieci, Luca; Papini, Alessandra; Pugliese, Alessandro; Spadoni, Alessandro 1 2014 A Filippov sliding vector field on an attracting co-dimension 2 discontinuity surface, and a limited loss-of-attractivity analysis. Zbl 1275.34018 Dieci, L.; Elia, C.; Lopez, L. 30 2013 Numerical solution of discontinuous differential systems: Approaching the discontinuity surface from one side. Zbl 1268.65093 Dieci, Luca; Lopez, Luciano 12 2013 Regularizing piecewise smooth differential systems: co-dimension 2 discontinuity surface. Zbl 1271.34009 Dieci, Luca; Guglielmi, Nicola 11 2013 Approximating coalescing points for eigenvalues of Hermitian matrices of three parameters. Zbl 1273.15008 Dieci, Luca; Papini, Alessandra; Pugliese, Alessandro 8 2013 A survey of numerical methods for IVPs of ODEs with discontinuous right-hand side. Zbl 1246.65111 Dieci, Luca; Lopez, Luciano 44 2012 Hermitian matrices depending on three parameters: Coalescing eigenvalues. Zbl 1244.15005 Dieci, Luca; Pugliese, Alessandro 8 2012 Sliding motion on discontinuity surfaces of high co-dimension. A construction for selecting a Filippov vector field. Zbl 1219.34015 Dieci, Luca; Lopez, Luciano 32 2011 Fundamental matrix solutions of piecewise smooth differential systems. Zbl 1215.65121 Dieci, Luca; Lopez, Luciano 18 2011 Detecting exponential dichotomy on the real line: SVD and QR algorithms. Zbl 1228.65123 Dieci, Luca; Elia, Cinzia; Van Vleck, Erik 8 2011 Locating coalescing singular values of large two-parameter matrices. Zbl 1210.65089 Dieci, Luca; Gasparo, M. Grazia; Papini, Alessandra; Pugliese, Alessandro 3 2011 Exponential dichotomy on the real line: SVD and QR methods. Zbl 1205.34062 Dieci, Luca; Elia, Cinzia; van Vleck, Erik 15 2010 Sliding motion in Filippov differential systems: theoretical results and a computational approach. Zbl 1197.34009 Dieci, Luca; Lopez, Luciano 47 2009 Two-parameter SVD: coalescing singular values and periodicity. Zbl 1232.65064 Dieci, Luca; Pugliese, Alessandro 12 2009 On the error in QR integration. Zbl 1170.65068 Dieci, Luca; van Vleck, Erik S. 11 2008 Singular values of two-parameter matrices: An algorithm to accurately find their intersections. Zbl 1162.65328 Dieci, Luca; Pugliese, Alessandro 9 2008 SVD algorithms to approximate spectra of dynamical systems. Zbl 1166.65363 Dieci, L.; Elia, C. 8 2008 Error in approximation of Lyapunov exponents on intertial manifolds: the Kuramoto-Sivashinsky equation. Zbl 1162.35401 Dieci, L.; Jolly, M. S.; Rosa, R.; Van Vleck, E. S. 2 2008 A geometrical method for the approximation of invariant tori. Zbl 1139.37013 Rasmussen, Bryan; Dieci, Luca 1 2008 Smoothness of Hessenberg and bidiagonal forms. Zbl 1164.65015 Dieci, Luca; Gasparo, Maria Grazia; Papini, Alessandra 1 2008 Lyapunov and Sacker-Sell spectral intervals. Zbl 1130.34027 Dieci, Luca; Van Vleck, Erik S. 33 2007 Perturbation theory for approximation of Lyapunov exponents by QR methods. Zbl 1166.34319 Dieci, Luca; Van Vleck, Erik S. 17 2006 The singular value decomposition to approximate spectra of dynamical systems. Theoretical aspects. Zbl 1139.93014 Dieci, L.; Elia, C. 12 2006 Path following by SVD. Zbl 1157.65374 Dieci, Luca; Gasparo, Maria Grazia; Papini, Alessandra 4 2006 Smooth singular value decomposition on the symplectic group and Lyapunov exponents approximation. Zbl 1117.65052 Dieci, Luca; Lopez, Luciano 3 2006 On the error in computing Lyapunov exponents by QR methods. Zbl 1083.65069 Dieci, Luca; Van Vleck, Erik S. 19 2005 Continuation of singular value decompositions. Zbl 1170.65313 Gasparo, Maria Grazia; Dieci, Luca; Papini, Alessandra 2 2005 Point-to-periodic and periodic-to-periodic connections. Zbl 1052.65113 Dieci, Luca; Rebaza, Jorge 11 2004 Smooth SVD on the Lorentz group with application to computation of Lyapunov exponents. Zbl 1047.65108 Dieci, L.; Elia, C.; Lopez, L. 6 2004 Erratum: Point-to-periodic and periodic-to-periodic connections. Zbl 1075.65145 Dieci, Luca; Rebaza, Jorge 4 2004 Lyapunov exponents of systems evolving on quadratic groups. Zbl 1037.65079 Dieci, Luca; Lopez, Luciano 4 2003 Lyapunov spectral intervals: Theory and computation. Zbl 1021.65067 Dieci, Luca; Van Vleck, Erik S. 41 2002 Lyapunov and other spectra: a survey. Zbl 1494.93081 Dieci, L.; Van Vleck, E. S. 8 2002 Jacobian free computation of Lyapunov exponents. Zbl 1034.37049 Dieci, Luca 6 2002 Continuation of invariant subspaces. Zbl 1055.65054 Dieci, L.; Friedman, M. J. 16 2001 Conditioning of the exponential of a block triangular matrix. Zbl 0992.65042 Dieci, Luca; Papini, Alessandra 3 2001 Padé approximation for the exponential of a block triangular matrix. Zbl 0958.65050 Dieci, Luca; Papini, Alessandra 23 2000 Computing connecting orbits via an improved algorithm for continuing invariant subspaces. Zbl 0967.34008 Demmel, J. W.; Dieci, L.; Friedman, M. J. 15 2000 Smoothness and periodicity of some matrix decompositions. Zbl 0981.65048 Chern, Jann-Long; Dieci, Luca 15 2000 Conditioning and Padé approximation of the logarithm of a matrix. Zbl 0954.65034 Dieci, Luca; Papini, Alessandra 6 2000 Applications of smooth orthogonal factorizations of matrices. Zbl 0958.65139 Dieci, Luca; Eirola, Timo 3 2000 Continuous orthonormalization for linear two-point boundary value problems revisited. Zbl 0942.65084 Dieci, Luca; van Vleck, Erik S. 1 2000 On smooth decompositions of matrices. Zbl 0930.15014 Dieci, Luca; Eirola, Timo 67 1999 Computation of orthonormal factors for fundamental solution matrices. Zbl 0941.65066 Dieci, Luca; Van Vleck, Erik S. 9 1999 On real logarithms of nearby matrices and structured matrix interpolation. Zbl 0930.65045 Dieci, Luca; Morini, Benedetta; Papini, Alessandra; Pasquali, Aldo 6 1999 Real Hamiltonian logarithm of a symplectic matrix. Zbl 0937.15011 Dieci, Luca 5 1998 On the computation of Lyapunov exponents for continuous dynamical systems. Zbl 0891.65090 Dieci, Luca; Russell, Robert D.; Van Vleck, Erik S. 66 1997 Lyapunov-type numbers and torus breakdown: Numerical aspects and a case study. Zbl 0885.65079 Dieci, Luca; Lorenz, Jens 5 1997 Computational techniques for real logarithms of matrices. Zbl 0870.65036 Dieci, Luca; Morini, Benedetta; Papini, Alessandra 22 1996 Preserving monotonicity in the numerical solution of Riccati differential equations. Zbl 0864.65048 Dieci, Luca; Eirola, Timo 9 1996 Consideration on computing real logarithms of matrices, Hamiltonian logarithms, and skew-symmetric logarithms. Zbl 0862.65027 Dieci, Luca 6 1996 Computation of a few Lyapunov exponents for continuous and discrete dynamical systems. Zbl 0834.65069 Dieci, Luca; van Vleck, Erik S. 33 1995 Computation of invariant tori by the method of characteristics. Zbl 0928.65154 Dieci, Luca; Lorenz, Jens 11 1995 Block iterations and compactification for periodic block dominant systems associated to invariant tori approximation. Zbl 0831.65035 Dieci, Luca; Bader, Georg 4 1995 Unitary integrators and applications to continuous orthonormalization techniques. Zbl 0815.65096 Dieci, Luca; Russell, Robert D.; van Vleck, Erik S. 52 1994 Positive definiteness in the numerical solution of Riccati differential equations. Zbl 0791.65050 Dieci, Luca; Eirola, Timo 23 1994 Solution of the systems associated with invariant tori approximation. II: Multigrid methods. Zbl 0840.65099 Dieci, Luca; Bader, Georg 3 1994 On the decoupling of dichotomic linear Hamiltonians. Considerations on integrating symmetric differential Riccati equations. Zbl 0780.65036 Dieci, Luca 1 1993 Numerical integration of the differential Riccati equation and some related issues. Zbl 0768.65037 Dieci, Luca 44 1992 Block \(M\)-matrices and computation of invariant tori. Zbl 0755.65085 Dieci, Luca; Lorenz, Jens 11 1992 Numerical calculation of invariant tori. Zbl 0725.65074 Dieci, Luca; Lorenz, Jens; Russell, Robert D. 17 1991 Numerical solution of eigenvalue problems for linear boundary value ODEs. Zbl 0726.65101 Bramley, S.; Dieci, L.; Russell, R. D. 3 1991 Some stability aspects of schemes for the adaptive integration of stiff initial value problems. Zbl 0738.65072 Dieci, Luca; Estep, Donald 3 1991 A Riccati transformation method for solving linear BVPs. I: Theoretical aspects. Zbl 0664.65074 Dieci, Luca; Osborne, Michael R.; Russell, Robert D. 19 1988 A Riccati transformation method for solving linear BVPs. II: Computational aspects. Zbl 0664.65075 Dieci, Luca; Osborne, Michael R.; Russell, Robert D. 14 1988 Riccati and other methods for singularly perturbed BVP. Zbl 0672.65072 Dieci, Luca; Russell, Robert D. 2 1986 all cited Publications top 5 cited Publications all top 5 Cited by 909 Authors 50 Dieci, Luca 21 Lopez, Luciano 19 Van Vleck, Erik S. 15 Elia, Cinzia 10 Pugliese, Alessandro 9 Ibáñez González, Jacinto Javier 8 Guglielmi, Nicola 7 Blanes, Sergio 7 Difonzo, Fabio Vito 7 Jeffrey, Mike R. 7 Politi, Tiziano 6 Beyn, Wolf-Jürgen 6 Carbonell, Felix 6 Del Buono, Nicoletta 6 Hüls, Thorsten 6 Jimenez, Juan Carlos 6 Kuznetsov, Yuri Alexandrovich 6 Papini, Alessandra 6 Pi, Dingheng 6 Zhou, Hao-Min 5 Berardi, Marco 5 Doedel, Eusebius J. 5 Garrappa, Roberto 5 Hairer, Ernst 5 Hernández, Vicente G. 5 Li, Wuchen 5 Mehrmann, Volker 5 Ponsoda, Enrique 5 Pötzsche, Christian 5 Steyer, Andrew J. 5 Zanna, Antonella 4 Antali, Mate 4 Biscay, Rolando J. 4 Cardoso, João R. 4 Czornik, Adam 4 Danca, Marius-Florin 4 Defez, Emilio 4 Govaerts, Willy J. F. 4 Kacewicz, Bolesław Z. 4 Kooi, Bob W. 4 Kuo, Yueh-Cheng 4 Li, Rencang 4 Linh, Vu Hoang 4 Mastroserio, Carmela 4 Mease, Kenneth D. 4 Mena, Hermann 4 Peinado, Jesús 4 Shieh, Shih-Feng 4 Uhlig, Frank 4 van Voorn, George A. K. 4 von Bremen, Hubertus F. 3 Arias, Enrique 3 Bader, Philipp 3 Benner, Peter 3 Breda, Dimitri 3 Bridges, Thomas J. 3 Carbajal-Gómez, V. H. 3 Chen, Guanggan 3 Chow, Shui-Nee 3 Cui, Jianbo 3 Doan, Thai Son 3 Fečkan, Michal 3 Feppon, Florian 3 Friedman, Mark J. 3 Higham, Nicholas J. 3 Hosham, Hany A. 3 Humpherys, Jeffrey 3 Iserles, Arieh 3 Jódar Sanchez, Lucas Antonio 3 Jorba, Àngel 3 Kressner, Daniel 3 Kuznetsov, Nikolay Vladimirovich 3 Lermusiaux, Pierre F. J. 3 Lessard, Jean-Philippe 3 Li, Dongping 3 Lu, Ya Yan 3 Lubich, Christian 3 Luo, Albert C. J. 3 Maset, Stefano 3 Meijer, Hil G. E. 3 Palmer, Kenneth James 3 Przybyłowicz, Paweł 3 Saak, Jens 3 Silva Leite, Fátima 3 Simó, Carles 3 Simpson, David John Warwick 3 Tsyganova, Yuliya Vladimirovna 3 Udwadia, Firdaus E. 3 Wiggins, Stephen R. 3 Yang, Min 2 Absil, Pierre-Antoine 2 Alonso-Jordá, Pedro 2 Alonso, Jose Miguel 2 Anh, Pham The 2 Ascher, Uri M. 2 Aykutlug, Erkut 2 Babiarz, Artur 2 Berkolaiko, Gregory 2 Bizzarri, Federico 2 Boer, Martin P. ...and 809 more Authors all top 5 Cited in 156 Serials 46 Journal of Computational and Applied Mathematics 26 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 25 Linear Algebra and its Applications 24 Applied Mathematics and Computation 21 Applied Numerical Mathematics 20 Physica D 19 SIAM Journal on Applied Dynamical Systems 17 Mathematics and Computers in Simulation 17 Journal of Dynamics and Differential Equations 15 Numerische Mathematik 14 SIAM Journal on Matrix Analysis and Applications 14 Discrete and Continuous Dynamical Systems. Series B 12 BIT 11 Journal of Computational Physics 11 Nonlinear Dynamics 11 Communications in Nonlinear Science and Numerical Simulation 9 Chaos, Solitons and Fractals 9 Numerical Algorithms 8 Computers & Mathematics with Applications 8 Automatica 7 Journal of Differential Equations 7 Journal of Scientific Computing 6 Mathematics of Computation 6 SIAM Journal on Control and Optimization 6 Chaos 5 Journal of the Franklin Institute 5 Journal of Mathematical Analysis and Applications 5 Mathematical and Computer Modelling 4 Computer Methods in Applied Mechanics and Engineering 4 Journal of Mathematical Physics 4 Calcolo 4 Applied Mathematics Letters 4 SIAM Journal on Scientific Computing 4 Advances in Computational Mathematics 3 Computer Physics Communications 3 Journal of Fluid Mechanics 3 SIAM Journal on Numerical Analysis 3 Systems & Control Letters 3 SIAM Journal on Applied Mathematics 3 Journal of Nonlinear Science 3 Discrete and Continuous Dynamical Systems 3 ELA. The Electronic Journal of Linear Algebra 3 Journal of Dynamical and Control Systems 3 Qualitative Theory of Dynamical Systems 3 Dynamical Systems 3 Nonlinear Analysis. Hybrid Systems 3 Journal of Applied Analysis and Computation 3 Journal of Computational Dynamics 2 Biological Cybernetics 2 International Journal of Control 2 Linear and Multilinear Algebra 2 Mathematical Biosciences 2 Physics Reports 2 Wave Motion 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Computing 2 Journal of Econometrics 2 Journal of Economic Dynamics & Control 2 European Journal of Applied Mathematics 2 SIAM Review 2 International Journal of Robust and Nonlinear Control 2 Numerical Linear Algebra with Applications 2 ETNA. Electronic Transactions on Numerical Analysis 2 Journal of Difference Equations and Applications 2 Mathematical and Computer Modelling of Dynamical Systems 2 Regular and Chaotic Dynamics 2 Foundations of Computational Mathematics 2 Advanced Nonlinear Studies 2 Entropy 2 Journal of Numerical Mathematics 2 Mediterranean Journal of Mathematics 2 International Journal of Biomathematics 1 Inverse Problems 1 Journal of Mathematical Biology 1 Journal of Statistical Physics 1 Mathematical Methods in the Applied Sciences 1 Mathematical Notes 1 Nonlinearity 1 ACM Transactions on Mathematical Software 1 Demonstratio Mathematica 1 International Journal of Mathematics and Mathematical Sciences 1 Integral Equations and Operator Theory 1 International Journal for Numerical Methods in Engineering 1 Journal of Optimization Theory and Applications 1 Kybernetika 1 Mathematische Annalen 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Circuits, Systems, and Signal Processing 1 Computer Aided Geometric Design 1 Optimization 1 Journal of Complexity 1 Journal of Economics 1 Information and Computation 1 Japan Journal of Industrial and Applied Mathematics 1 Computational Mathematics and Mathematical Physics 1 European Journal of Operational Research 1 International Journal of Computer Mathematics 1 Stochastic Processes and their Applications 1 Computational Statistics and Data Analysis 1 Mathematical Programming. Series A. Series B ...and 56 more Serials all top 5 Cited in 43 Fields 313 Numerical analysis (65-XX) 251 Ordinary differential equations (34-XX) 166 Dynamical systems and ergodic theory (37-XX) 87 Linear and multilinear algebra; matrix theory (15-XX) 75 Systems theory; control (93-XX) 36 Partial differential equations (35-XX) 34 Mechanics of particles and systems (70-XX) 27 Calculus of variations and optimal control; optimization (49-XX) 27 Fluid mechanics (76-XX) 27 Biology and other natural sciences (92-XX) 23 Probability theory and stochastic processes (60-XX) 14 Operator theory (47-XX) 14 Statistics (62-XX) 13 Mechanics of deformable solids (74-XX) 12 Quantum theory (81-XX) 12 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 11 Approximations and expansions (41-XX) 11 Computer science (68-XX) 9 Difference and functional equations (39-XX) 8 Topological groups, Lie groups (22-XX) 7 Differential geometry (53-XX) 6 Statistical mechanics, structure of matter (82-XX) 6 Geophysics (86-XX) 6 Operations research, mathematical programming (90-XX) 6 Information and communication theory, circuits (94-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Real functions (26-XX) 3 Manifolds and cell complexes (57-XX) 2 Combinatorics (05-XX) 2 Algebraic geometry (14-XX) 2 Nonassociative rings and algebras (17-XX) 2 Special functions (33-XX) 2 Functional analysis (46-XX) 2 Geometry (51-XX) 2 Convex and discrete geometry (52-XX) 1 Number theory (11-XX) 1 Functions of a complex variable (30-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year