Edit Profile Pereyra, Victor Daniel Compute Distance To: Compute Author ID: pereyra.victor-daniel Published as: Pereyra, V.; Pereyra, V. D.; Pereyra, Victor; Pereyra, Victor D.; Pereyra, Victor Daniel; Pereyra, Víctor Documents Indexed: 74 Publications since 1962, including 4 Books Co-Authors 0 single-authored 1 Belardinelli, Rolando Elio 1 Dickman, Ronald 1 Lourenço, Bruno Jeferson Serials 1 Journal of Statistical Mechanics: Theory and Experiment Fields 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 54 Publications have been cited 815 times in 593 Documents Cited by ▼ Year ▼ The differentiation of pseudo-inverses and nonlinear least squares problems whose variables separate. Zbl 0258.65045Golub, G. H.; Pereyra, V. 156 1973 Solution of Vandermonde systems of equations. Zbl 0221.65054Björck, Åke; Pereyra, Victor 98 1971 Separable nonlinear least squares: The variable projection method and its applications. Zbl 1022.65014Golub, Gene; Pereyra, Victor 79 2003 An adaptive finite difference solver for nonlinear two-point boundary problems with mild boundary layers. Zbl 0358.65069Lentini, M.; Pereyra, V. 56 1977 On improving an approximate solution of a functional equation by deferred corrections. Zbl 0173.18103Pereyra, V. 38 1966 Mesh selection for discrete solution of boundary problems in ordinary differential equations. Zbl 0318.65038Pereyra, V.; Sewell, E. G. 35 1975 A variable order finite difference method for nonlinear multipoint boundary value problems. Zbl 0308.65054Lentini, M.; Pereyra, V. 35 1974 Iterated deferred corrections for nonlinear operator equations. Zbl 0258.65059Pereyra, Victor 34 1967 Iterated deferred corrections for nonlinear boundary value problems. Zbl 0176.15003Pereyra, V. 27 1968 High order fast Laplace solvers for the Dirichlet problem on general regions. Zbl 0348.65090Pereyra, Victor; Proskurowski, Wlodzimierz; Widlund, Olof 19 1977 Accelerating the convergence of discretization algorithms. Zbl 0265.65043Pereyra, Victor 18 1967 Solving confluent Vandermonde systems of Hermite type. Zbl 0217.52601Galimberti, G.; Pereyra, V. 16 1971 Difference methods and deferred corrections for ordinary boundary value problems. Zbl 0403.65034Keller, H. B.; Pereyra, V. 12 1979 Highly accurate numerical solution of quasilinear elliptic boundary-value problems in n dimensions. Zbl 0219.65084Pereyra, V. 12 1970 On the construction of discrete approximations to linear differential expressions. Zbl 0168.14103Ballester, C.; Pereyra, V. 12 1967 Least squares data fitting with applications. Zbl 1270.65008Hansen, Per Christian; Pereyra, Víctor; Scherer, Godela 11 2013 Iterative methods for solving nonlinear least squares problems. Zbl 0149.36702Pereyra, V. 11 1967 Efficient computer manipulation of tensor products with applications to multidimensional approximation. Zbl 0282.65019Pereyra, V.; Scherer, G. 10 1973 PASVA 3: An adaptive finite difference Fortran program for first order nonlinear, ordinary boundary problems. Zbl 0434.65067Pereyra, V. 9 1979 Fast computation of equispaced Pareto manifolds and Pareto fronts for multiobjective optimization problems. Zbl 1159.65060Pereyra, Victor 8 2009 Asynchronous distributed solution of large scale nonlinear inversion problems. Zbl 0932.65067Pereyra, V. 7 1999 Symbolic generation of finite difference formulas. Zbl 0387.65049Keller, H. B.; Pereyra, V. 7 1978 A method for separable nonlinear least squares problems with separable nonlinear equality constraints. Zbl 0385.65030Kaufman, Linda; Pereyra, Victor 7 1978 Boundary problem solvers for first order systems based on deferred corrections. Zbl 0321.65049Lentini, M.; Pereyra, V. 7 1975 Numerical differentiation and the solution of multidimensional Vandermonde systems. Zbl 0215.27204Galimberti, G.; Pereyra, V. 7 1970 Least squares estimation for a class of non-linear models. Zbl 0263.65011Guttman, Irwin; Pereyra, Victor; Scolnik, Hugo D. 6 1973 Equispaced Pareto front construction for constrained bi-objective optimization. Zbl 1286.90138Pereyra, Victor; Saunders, Michael; Castillo, Jose 5 2013 Least squares scattered data fitting by truncated SVDs. Zbl 0992.65004Pereyra, V.; Scherer, G. 5 2002 Differentiation of pseudoinverses, separable nonlinear least square problems and other tales. Zbl 0412.65019Golub, G. H.; Pereyra, V. 5 1976 Solving confluent Vandermonde systems of Hermite type. Zbl 0212.17001Galimberti, G.; Pereyra, V. 5 1971 Stability of general systems of linear equations. Zbl 0172.42501Pereyra, V. 5 1969 On the convergence and precision of a process of successive differential corrections. Zbl 0196.48501Zadunaisky, P. E.; Pereyra, V. 5 1966 Aircraft design optimization. Zbl 1157.76041Alonso, J. J.; Legresley, P.; Pereyra, V. 4 2009 Variable projections neural network training. Zbl 1104.65060Pereyra, V.; Scherer, G.; Wong, F. 4 2006 Large scale least squares scattered data fitting. Zbl 1013.65010Pereyra, V.; Scherer, G. 4 2003 PASVA 4: an O.D.E. boundary solver for problems with discontinuous interfaces and algebraic parameters. Zbl 0514.65066Lentini, M.; Pereyra, V. 4 1983 Model order reduction with oblique projections for large scale wave propagation. Zbl 1329.86018Pereyra, Victor 3 2016 Least squares collocation solution of elliptic problems in general regions. Zbl 1103.65121Pereyra, V.; Scherer, G. 3 2006 Ray tracing methods for inverse problems. Zbl 0967.35153Pereyra, V. 3 2000 Eigenvalues of symmetric tridiagonal matrices: a fast, accurate and reliable algorithm. Zbl 0278.65035Pereyra, V.; Scherer, G. 3 1973 Fast wave propagation by model order reduction. Zbl 1171.65072Pereyra, V.; Kaelin, B. 2 2008 Optimal design of steel frame structures. Zbl 0999.74092Isenberg, J.; Pereyra, V.; Lawver, D. 2 2002 Special issue: Applied and computational topics in partial differential equations. Papers from the 2nd Panamerican workshop on applied and numerical mathematics, Gramado, Brazil, September 8–12, 1997. Zbl 0944.00065Pereyra, V. (ed.); Castillo, J. (ed.) 2 1999 Finite difference solution of boundary value problems in ordinary differential equations. Zbl 0603.65055Pereyra, V. 2 1984 Finite difference solution of two-point boundary value problems and symbolic manipulation. Zbl 0416.65059Pereyra, V. 2 1978 The correction difference method for non-linear boundary value problems of class M. Zbl 0143.38001Pereyra, V. 2 1965 Determination of the adjoint state evolution for the efficient operation of a hybrid electric vehicle. Zbl 1286.49048Pérez, Laura V.; de Angelo, Cristian H.; Pereyra, Víctor 1 2013 Radial function collocation solution of partial differential equations in irregular domains. Zbl 1184.65109Pereyra, V.; Scherer, G.; Casanova, P. González 1 2007 Adaptation of a two-point boundary value problem solver to a vector- multiprocessor environment. Zbl 0704.65013Wright, S. J.; Pereyra, V. 1 1990 Deferred corrections software and its application to seismic ray tracing. Zbl 0551.65060Pereyra, V. 1 1984 Two-point ray tracing in heterogeneous media and the inversion of travel time data. Zbl 0479.73087Pereyra, V. 1 1980 Variable order variable step finite difference methods for nonlinear boundary value problems. Zbl 0301.65043Pereyra, Victor 1 1974 Nonlinear two-point boundary value problems with multiple solutions. Zbl 0234.65072Parter, Seymour V.; Pereyra, Victor 1 1971 Stabilizing linear least squares problems. Zbl 0193.12204Pereyra, V. 1 1969 Model order reduction with oblique projections for large scale wave propagation. Zbl 1329.86018Pereyra, Victor 3 2016 Least squares data fitting with applications. Zbl 1270.65008Hansen, Per Christian; Pereyra, Víctor; Scherer, Godela 11 2013 Equispaced Pareto front construction for constrained bi-objective optimization. Zbl 1286.90138Pereyra, Victor; Saunders, Michael; Castillo, Jose 5 2013 Determination of the adjoint state evolution for the efficient operation of a hybrid electric vehicle. Zbl 1286.49048Pérez, Laura V.; de Angelo, Cristian H.; Pereyra, Víctor 1 2013 Fast computation of equispaced Pareto manifolds and Pareto fronts for multiobjective optimization problems. Zbl 1159.65060Pereyra, Victor 8 2009 Aircraft design optimization. Zbl 1157.76041Alonso, J. J.; Legresley, P.; Pereyra, V. 4 2009 Fast wave propagation by model order reduction. Zbl 1171.65072Pereyra, V.; Kaelin, B. 2 2008 Radial function collocation solution of partial differential equations in irregular domains. Zbl 1184.65109Pereyra, V.; Scherer, G.; Casanova, P. González 1 2007 Variable projections neural network training. Zbl 1104.65060Pereyra, V.; Scherer, G.; Wong, F. 4 2006 Least squares collocation solution of elliptic problems in general regions. Zbl 1103.65121Pereyra, V.; Scherer, G. 3 2006 Separable nonlinear least squares: The variable projection method and its applications. Zbl 1022.65014Golub, Gene; Pereyra, Victor 79 2003 Large scale least squares scattered data fitting. Zbl 1013.65010Pereyra, V.; Scherer, G. 4 2003 Least squares scattered data fitting by truncated SVDs. Zbl 0992.65004Pereyra, V.; Scherer, G. 5 2002 Optimal design of steel frame structures. Zbl 0999.74092Isenberg, J.; Pereyra, V.; Lawver, D. 2 2002 Ray tracing methods for inverse problems. Zbl 0967.35153Pereyra, V. 3 2000 Asynchronous distributed solution of large scale nonlinear inversion problems. Zbl 0932.65067Pereyra, V. 7 1999 Special issue: Applied and computational topics in partial differential equations. Papers from the 2nd Panamerican workshop on applied and numerical mathematics, Gramado, Brazil, September 8–12, 1997. Zbl 0944.00065Pereyra, V. (ed.); Castillo, J. (ed.) 2 1999 Adaptation of a two-point boundary value problem solver to a vector- multiprocessor environment. Zbl 0704.65013Wright, S. J.; Pereyra, V. 1 1990 Finite difference solution of boundary value problems in ordinary differential equations. Zbl 0603.65055Pereyra, V. 2 1984 Deferred corrections software and its application to seismic ray tracing. Zbl 0551.65060Pereyra, V. 1 1984 PASVA 4: an O.D.E. boundary solver for problems with discontinuous interfaces and algebraic parameters. Zbl 0514.65066Lentini, M.; Pereyra, V. 4 1983 Two-point ray tracing in heterogeneous media and the inversion of travel time data. Zbl 0479.73087Pereyra, V. 1 1980 Difference methods and deferred corrections for ordinary boundary value problems. Zbl 0403.65034Keller, H. B.; Pereyra, V. 12 1979 PASVA 3: An adaptive finite difference Fortran program for first order nonlinear, ordinary boundary problems. Zbl 0434.65067Pereyra, V. 9 1979 Symbolic generation of finite difference formulas. Zbl 0387.65049Keller, H. B.; Pereyra, V. 7 1978 A method for separable nonlinear least squares problems with separable nonlinear equality constraints. Zbl 0385.65030Kaufman, Linda; Pereyra, Victor 7 1978 Finite difference solution of two-point boundary value problems and symbolic manipulation. Zbl 0416.65059Pereyra, V. 2 1978 An adaptive finite difference solver for nonlinear two-point boundary problems with mild boundary layers. Zbl 0358.65069Lentini, M.; Pereyra, V. 56 1977 High order fast Laplace solvers for the Dirichlet problem on general regions. Zbl 0348.65090Pereyra, Victor; Proskurowski, Wlodzimierz; Widlund, Olof 19 1977 Differentiation of pseudoinverses, separable nonlinear least square problems and other tales. Zbl 0412.65019Golub, G. H.; Pereyra, V. 5 1976 Mesh selection for discrete solution of boundary problems in ordinary differential equations. Zbl 0318.65038Pereyra, V.; Sewell, E. G. 35 1975 Boundary problem solvers for first order systems based on deferred corrections. Zbl 0321.65049Lentini, M.; Pereyra, V. 7 1975 A variable order finite difference method for nonlinear multipoint boundary value problems. Zbl 0308.65054Lentini, M.; Pereyra, V. 35 1974 Variable order variable step finite difference methods for nonlinear boundary value problems. Zbl 0301.65043Pereyra, Victor 1 1974 The differentiation of pseudo-inverses and nonlinear least squares problems whose variables separate. Zbl 0258.65045Golub, G. H.; Pereyra, V. 156 1973 Efficient computer manipulation of tensor products with applications to multidimensional approximation. Zbl 0282.65019Pereyra, V.; Scherer, G. 10 1973 Least squares estimation for a class of non-linear models. Zbl 0263.65011Guttman, Irwin; Pereyra, Victor; Scolnik, Hugo D. 6 1973 Eigenvalues of symmetric tridiagonal matrices: a fast, accurate and reliable algorithm. Zbl 0278.65035Pereyra, V.; Scherer, G. 3 1973 Solution of Vandermonde systems of equations. Zbl 0221.65054Björck, Åke; Pereyra, Victor 98 1971 Solving confluent Vandermonde systems of Hermite type. Zbl 0217.52601Galimberti, G.; Pereyra, V. 16 1971 Solving confluent Vandermonde systems of Hermite type. Zbl 0212.17001Galimberti, G.; Pereyra, V. 5 1971 Nonlinear two-point boundary value problems with multiple solutions. Zbl 0234.65072Parter, Seymour V.; Pereyra, Victor 1 1971 Highly accurate numerical solution of quasilinear elliptic boundary-value problems in n dimensions. Zbl 0219.65084Pereyra, V. 12 1970 Numerical differentiation and the solution of multidimensional Vandermonde systems. Zbl 0215.27204Galimberti, G.; Pereyra, V. 7 1970 Stability of general systems of linear equations. Zbl 0172.42501Pereyra, V. 5 1969 Stabilizing linear least squares problems. Zbl 0193.12204Pereyra, V. 1 1969 Iterated deferred corrections for nonlinear boundary value problems. Zbl 0176.15003Pereyra, V. 27 1968 Iterated deferred corrections for nonlinear operator equations. Zbl 0258.65059Pereyra, Victor 34 1967 Accelerating the convergence of discretization algorithms. Zbl 0265.65043Pereyra, Victor 18 1967 On the construction of discrete approximations to linear differential expressions. Zbl 0168.14103Ballester, C.; Pereyra, V. 12 1967 Iterative methods for solving nonlinear least squares problems. Zbl 0149.36702Pereyra, V. 11 1967 On improving an approximate solution of a functional equation by deferred corrections. Zbl 0173.18103Pereyra, V. 38 1966 On the convergence and precision of a process of successive differential corrections. Zbl 0196.48501Zadunaisky, P. E.; Pereyra, V. 5 1966 The correction difference method for non-linear boundary value problems of class M. Zbl 0143.38001Pereyra, V. 2 1965 all cited Publications top 5 cited Publications all top 5 Cited by 971 Authors 19 Pereyra, Victor D. 13 Cash, Jeff R. 10 Martínez, José-Javier 8 Marco García, Ana 8 Markovsky, Ivan 8 Minion, Michael L. 7 Söderström, Torsten 6 Huang, Jingfang 6 Nagy, James Gerard 6 Olshevsky, Vadim 6 Shen, Yunqiu 6 Ypma, Tjalling J. 5 Gohberg, Israel 5 Maklakov, Vladimir Nikolaevich 5 Rogava, Jemal L. 5 Russell, Robert D. 4 Chung, Julianne M. 4 Eisinberg, Alfredo 4 Frank, Reinhard 4 Golub, Gene Howard 4 Kadalbajoo, Mohan K. 4 Kailath, Thomas 4 O’Leary, Dianne P. 4 Peña, Juan Manuel 4 Pereyra, Victor Daniel 4 Reichel, Lothar 4 Smooke, Mitchell D. 4 Usevich, Konstantin 3 Adams, John Conway 3 Argyros, Ioannis Konstantinos 3 Bu, Sunyoung 3 Fedele, Giuseppe 3 Fornberg, Bengt 3 Galimberti, G. 3 Gulua, D. V. 3 Gulua, David 3 Hyman, James M. 3 Jia, Jun 3 Jukić, Dragan 3 Koltracht, Israel 3 Lentini, Marianela 3 Mohammad, Hassan 3 Mourrain, Bernard 3 Nguyen-Ba, Truong 3 Ramos, Juan I. 3 Rost, Karla 3 Scherer, Godela 3 Scitovski, Rudolf 3 Tewarson, Reginald P. 3 Verhaegen, Michel 3 Villatoro, Francisco R. 2 Alwardi, H. 2 Amodio, Pierluigi 2 Aravkin, Aleksandr Y. 2 Askham, Travis 2 Balogh, Andras 2 Bates, Douglas M. 2 Beckett, G. 2 Bella, Tom 2 Björck, Åke 2 Boggs, Paul T. 2 Böhmer, Klaus 2 Bolten, Matthias 2 Boros, Tibor 2 Brugnano, Luigi 2 Burnham, Keith J. 2 Calo, Victor Manuel 2 Calvetti, Daniela 2 Castillo, Jose Luis 2 Chen, Tsu-Fen 2 Cheng, Stephen W. 2 Christiansen, Jesper R. 2 Chung, Matthias 2 Corradi, Corrado 2 D’Amore, Luisa 2 Daniel, James W. 2 Don, F. J. Henk 2 Dutilleul, Pierre 2 Eidelman, Yuli 2 Eisenfeld, Jerome 2 Emmett, Matthew 2 Esser, Henning 2 Eubank, Randall L. 2 Fairweather, Graeme 2 Fazio, Riccardo 2 Gao, Longfei 2 Giordano, Thierry 2 Gladwell, Ian 2 Golik, Wojciech L. 2 Goos, Jan 2 Grigorieff, Rolf Dieter 2 Guglielmi, Nicola 2 Herceg, Dragoslav 2 Higham, Nicholas J. 2 Hilout, Saïd 2 Hokanson, Jeffrey M. 2 Hu, Yongjian 2 Huang, Rong 2 Ixaru, Liviu Gr. 2 Jaramillo, Rodney ...and 871 more Authors all top 5 Cited in 153 Serials 52 Journal of Computational and Applied Mathematics 41 Applied Mathematics and Computation 41 Numerische Mathematik 30 Mathematics of Computation 29 Linear Algebra and its Applications 25 Applied Numerical Mathematics 24 Journal of Computational Physics 21 Automatica 14 Computers & Mathematics with Applications 14 Numerical Algorithms 13 Computing 10 BIT 9 Computer Methods in Applied Mechanics and Engineering 9 BIT. Nordisk Tidskrift for Informationsbehandling 8 International Journal of Control 7 Mathematics and Computers in Simulation 6 Applied Mathematical Modelling 5 Journal of Scientific Computing 5 Journal of Global Optimization 5 Computational Statistics and Data Analysis 5 SIAM Journal on Scientific Computing 5 Advances in Computational Mathematics 5 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki 4 Circuits, Systems, and Signal Processing 4 Computer Aided Geometric Design 4 Mathematical and Computer Modelling 4 International Journal of Computer Mathematics 3 Computers and Fluids 3 Computer Physics Communications 3 Inverse Problems 3 Journal of Mathematical Analysis and Applications 3 Linear and Multilinear Algebra 3 Mathematical Biosciences 3 Calcolo 3 Information Sciences 3 Journal of Econometrics 3 SIAM Journal on Numerical Analysis 3 Theoretical Computer Science 3 Communications in Statistics. Theory and Methods 3 Computational Optimization and Applications 3 Journal of Mathematical Sciences (New York) 3 Numerical Linear Algebra with Applications 3 Computational and Applied Mathematics 3 Mathematical Problems in Engineering 3 Optimization Methods & Software 2 Acta Mechanica 2 International Journal of Systems Science 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 2 Soviet Applied Mechanics 2 Aplikace Matematiky 2 Journal of Optimization Theory and Applications 2 Journal of Statistical Planning and Inference 2 Journal of Symbolic Computation 2 Journal of Complexity 2 SIAM Journal on Matrix Analysis and Applications 2 Neural Networks 2 Aequationes Mathematicae 2 Journal of Statistical Computation and Simulation 2 Mathematical Programming. Series A. Series B 2 Journal of Mathematical Imaging and Vision 2 Cybernetics and Systems Analysis 2 Applied and Computational Harmonic Analysis 2 Complexity 2 Communications in Nonlinear Science and Numerical Simulation 2 Journal of Systems Science and Complexity 2 SIAM Journal on Applied Dynamical Systems 2 Electronic Journal of Statistics 2 SIAM Journal on Imaging Sciences 2 Nonlinear Analysis. Theory, Methods & Applications 1 Applicable Analysis 1 Bulletin of the Australian Mathematical Society 1 International Journal of Heat and Mass Transfer 1 Information Processing Letters 1 Israel Journal of Mathematics 1 Journal of the Franklin Institute 1 Journal of Mathematical Biology 1 Mathematical Methods in the Applied Sciences 1 Wave Motion 1 Physics of Fluids, A 1 The Annals of Statistics 1 Applied Mathematics and Optimization 1 International Journal of Mathematics and Mathematical Sciences 1 Integral Equations and Operator Theory 1 Journal of Approximation Theory 1 Journal of Differential Equations 1 Journal of Multivariate Analysis 1 Journal of Soviet Mathematics 1 Mathematical Programming 1 Mathematica Slovaca 1 Mathematische Zeitschrift 1 Proceedings of the American Mathematical Society 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 RAIRO. Analyse Numérique 1 Statistische Hefte. Neue Folge 1 Studies in Applied Mathematics 1 Systems & Control Letters 1 Journal of Time Series Analysis 1 Acta Applicandae Mathematicae 1 Numerical Methods for Partial Differential Equations ...and 53 more Serials all top 5 Cited in 44 Fields 410 Numerical analysis (65-XX) 98 Ordinary differential equations (34-XX) 66 Partial differential equations (35-XX) 59 Statistics (62-XX) 54 Systems theory; control (93-XX) 50 Linear and multilinear algebra; matrix theory (15-XX) 48 Operations research, mathematical programming (90-XX) 33 Computer science (68-XX) 28 Fluid mechanics (76-XX) 24 Information and communication theory, circuits (94-XX) 23 Approximations and expansions (41-XX) 17 Biology and other natural sciences (92-XX) 16 Calculus of variations and optimal control; optimization (49-XX) 14 Mechanics of deformable solids (74-XX) 12 Optics, electromagnetic theory (78-XX) 10 Geophysics (86-XX) 9 Number theory (11-XX) 9 Operator theory (47-XX) 7 Probability theory and stochastic processes (60-XX) 7 Classical thermodynamics, heat transfer (80-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 6 Integral transforms, operational calculus (44-XX) 5 Integral equations (45-XX) 4 Functions of a complex variable (30-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 General and overarching topics; collections (00-XX) 3 Combinatorics (05-XX) 3 Algebraic geometry (14-XX) 3 Special functions (33-XX) 3 Difference and functional equations (39-XX) 3 Differential geometry (53-XX) 3 Mechanics of particles and systems (70-XX) 3 Quantum theory (81-XX) 2 Functional analysis (46-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 History and biography (01-XX) 1 Commutative algebra (13-XX) 1 Real functions (26-XX) 1 Potential theory (31-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Astronomy and astrophysics (85-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year