Edit Profile (opens in new tab) Pereyra, Victor D. Compute Distance To: Compute Author ID: pereyra.victor-d Published as: Pereyra, Victor; Pereyra, V. External Links: MGP Documents Indexed: 67 Publications since 1962, including 1 Book 9 Contributions as Editor Reviewing Activity: 68 Reviews all top 5 Co-Authors 24 single-authored 5 Scherer, Godela 4 Lentini, Marianela 3 Galimberti, G. 3 Golub, Gene Howard 2 Isenberg, Jeremy 2 Keller, Herbert Bishop 2 Lawver, D. 1 Ballester, Coloma 1 Björck, Åke 1 Casanova, P. González 1 Castillo, José E. 1 de Angelo, Cristian H. 1 Good, Marcel 1 Goux, Jean-Pierre 1 Guttman, Irwin 1 Hansen, Per Christian 1 Kaelin, B. 1 Kaufman, Linda 1 LeGresley, Patrick 1 Linares, Daniel H. 1 Lopez, Raul H. 1 Marchi, Ezio 1 Maulino, Consuelo 1 Millau, L. 1 Nocedal, Jorge 1 Pagallo, Giulia 1 Parter, Seymour V. 1 Pérez, Laura V. 1 Proskurowski, Włodzimierz 1 Raydan, Marcos 1 Reinoza, Alfonso 1 Riccardo, José L. 1 Russell, Robert D. 1 Saunders, Michael A. 1 Scolnik, Hugo D. 1 Sewell, E. G. 1 Steinberg, Stanly L. 1 Widlund, Olof B. 1 Zadunaisky, Pedro E. 1 Zgrablich, G. all top 5 Serials 9 Applied Numerical Mathematics 8 Mathematics of Computation 6 Mathematics and Computers in Simulation 6 Numerische Mathematik 6 SIAM Journal on Numerical Analysis 4 Acta Cientifica Venezolana 3 Journal of Computational and Applied Mathematics 3 Mathematical and Computer Modelling 2 Inverse Problems 2 Revista de la Unión Matemática Argentina 1 Journal of the Institute of Mathematics and its Applications 1 Chaos, Solitons and Fractals 1 Technometrics 1 SIAM Journal on Scientific and Statistical Computing 1 Journal of Computational Mathematics 1 Advances in Modeling & Simulation 1 Aequationes Mathematicae 1 Journal of Physics A: Mathematical and General 1 Matemática Aplicada e Computacional 1 ETNA. Electronic Transactions on Numerical Analysis 1 BIT. Nordisk Tidskrift for Informationsbehandling 1 Lecture Notes in Mathematics 1 MAA Studies in Mathematics 1 International Journal of Computing Science and Mathematics all top 5 Fields 53 Numerical analysis (65-XX) 11 Ordinary differential equations (34-XX) 9 General and overarching topics; collections (00-XX) 8 Partial differential equations (35-XX) 8 Mechanics of deformable solids (74-XX) 8 Operations research, mathematical programming (90-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Geophysics (86-XX) 4 Statistics (62-XX) 4 Computer science (68-XX) 4 Fluid mechanics (76-XX) 2 Probability theory and stochastic processes (60-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 History and biography (01-XX) 1 Approximations and expansions (41-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Optics, electromagnetic theory (78-XX) 1 Biology and other natural sciences (92-XX) Publications by Year Citations contained in zbMATH Open 56 Publication has been cited 1 time in 1 Document Cited by ▼ Year ▼ The differentiation of pseudo-inverses and nonlinear least squares problems whose variables separate. Zbl 0258.65045Golub, G. H.; Pereyra, V. 178 1973 Solution of Vandermonde systems of equations. Zbl 0221.65054Björck, Åke; Pereyra, Victor 100 1971 Separable nonlinear least squares: The variable projection method and its applications. Zbl 1022.65014Golub, Gene; Pereyra, Victor 86 2003 An adaptive finite difference solver for nonlinear two-point boundary problems with mild boundary layers. Zbl 0358.65069Lentini, M.; Pereyra, V. 56 1977 Iterated deferred corrections for nonlinear operator equations. Zbl 0258.65059Pereyra, Victor 39 1967 On improving an approximate solution of a functional equation by deferred corrections. Zbl 0173.18103Pereyra, Victor 39 1966 A variable order finite difference method for nonlinear multipoint boundary value problems. Zbl 0308.65054Lentini, M.; Pereyra, V. 37 1974 Mesh selection for discrete solution of boundary problems in ordinary differential equations. Zbl 0318.65038Pereyra, V.; Sewell, E. G. 35 1975 Iterated deferred corrections for nonlinear boundary value problems. Zbl 0176.15003Pereyra, Victor 29 1968 Accelerating the convergence of discretization algorithms. Zbl 0265.65043Pereyra, Victor 19 1967 High order fast Laplace solvers for the Dirichlet problem on general regions. Zbl 0348.65090Pereyra, Victor; Proskurowski, Wlodzimierz; Widlund, Olof 19 1977 Least squares data fitting with applications. Zbl 1270.65008Hansen, Per Christian; Pereyra, Víctor; Scherer, Godela 18 2013 Difference methods and deferred corrections for ordinary boundary value problems. Zbl 0403.65034Keller, H. B.; Pereyra, V. 13 1979 Solving confluent Vandermonde systems of Hermite type. Zbl 0217.52601Galimberti, G.; Pereyra, V. 13 1971 On the construction of discrete approximations to linear differential expressions. Zbl 0168.14103Ballester, C.; Pereyra, V. 12 1967 Highly accurate numerical solution of quasilinear elliptic boundary-value problems in n dimensions. Zbl 0219.65084Pereyra, V. 12 1970 Efficient computer manipulation of tensor products with applications to multidimensional approximation. Zbl 0282.65019Pereyra, V.; Scherer, G. 11 1973 Iterative methods for solving nonlinear least squares problems. Zbl 0149.36702Pereyra, Victor 11 1967 Fast computation of equispaced Pareto manifolds and Pareto fronts for multiobjective optimization problems. Zbl 1159.65060Pereyra, Victor 9 2009 A method for separable nonlinear least squares problems with separable nonlinear equality constraints. Zbl 0385.65030Kaufman, Linda; Pereyra, Victor 8 1978 Equispaced Pareto front construction for constrained bi-objective optimization. Zbl 1286.90138Pereyra, Victor; Saunders, Michael; Castillo, Jose 8 2013 Symbolic generation of finite difference formulas. Zbl 0387.65049Keller, H. B.; Pereyra, V. 7 1978 Least squares estimation for a class of non-linear models. Zbl 0263.65011Guttman, Irwin; Pereyra, Victor; Scolnik, Hugo D. 7 1973 PASVA 3: An adaptive finite difference Fortran program for first order nonlinear, ordinary boundary problems. Zbl 0434.65067Pereyra, V. 7 1979 Asynchronous distributed solution of large scale nonlinear inversion problems. Zbl 0932.65067Pereyra, V. 7 1999 Variable projections neural network training. Zbl 1104.65060Pereyra, V.; Scherer, G.; Wong, F. 7 2006 Numerical differentiation and the solution of multidimensional Vandermonde systems. Zbl 0215.27204Galimberti, G.; Pereyra, V. 6 1970 Differentiation of pseudoinverses, separable nonlinear least square problems and other tales. Zbl 0412.65019Golub, G. H.; Pereyra, V. 5 1976 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 0944.00065 5 1999 Least squares scattered data fitting by truncated SVDs. Zbl 0992.65004Pereyra, V.; Scherer, G. 5 2002 Stability of general systems of linear equations. Zbl 0172.42501Pereyra, Victor 5 1969 Boundary problem solvers for first order systems based on deferred corrections. Zbl 0321.65049Lentini, M.; Pereyra, V. 5 1975 Solving confluent Vandermonde systems of Hermite type. Zbl 0212.17001Galimberti, G.; Pereyra, V. 5 1971 Model order reduction with oblique projections for large scale wave propagation. Zbl 1329.86018Pereyra, Victor 4 2016 Large scale least squares scattered data fitting. Zbl 1013.65010Pereyra, V.; Scherer, G. 4 2003 Aircraft design optimization. Zbl 1157.76041Alonso, J. J.; Legresley, P.; Pereyra, V. 4 2009 On the convergence and precision of a process of successive differential corrections. Zbl 0196.48501Zadunaisky, P. E.; Pereyra, V. 4 1966 Eigenvalues of symmetric tridiagonal matrices: a fast, accurate and reliable algorithm. Zbl 0278.65035Pereyra, V.; Scherer, G. 3 1973 Ray tracing methods for inverse problems. Zbl 0967.35153Pereyra, V. 3 2000 Fast wave propagation by model order reduction. Zbl 1171.65072Pereyra, V.; Kaelin, B. 3 2008 PASVA 4: an O.D.E. boundary solver for problems with discontinuous interfaces and algebraic parameters. Zbl 0514.65066Lentini, M.; Pereyra, V. 3 1983 Least squares collocation solution of elliptic problems in general regions. Zbl 1103.65121Pereyra, V.; Scherer, G. 3 2006 Optimal design of steel frame structures. Zbl 0999.74092Isenberg, J.; Pereyra, V.; Lawver, D. 2 2002 Finite difference solution of boundary value problems in ordinary differential equations. Zbl 0603.65055Pereyra, V. 2 1984 Exponential data fitting and its applications. Zbl 1469.65009 2 2010 The correction difference method for non-linear boundary value problems of class M. Zbl 0143.38001Pereyra, Victor 2 1965 Deferred corrections software and its application to seismic ray tracing. Zbl 0551.65060Pereyra, V. 1 1984 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 Finite difference solution of two-point boundary value problems and symbolic manipulation. Zbl 0416.65059Pereyra, V. 1 1978 Numerical methods for inverse problems in three-dimensional geophysical modeling. Zbl 0635.65132Pereyra, V. 1 1988 Adaptation of a two-point boundary value problem solver to a vector- multiprocessor environment. Zbl 0704.65013Wright, S. J.; Pereyra, V. 1 1990 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 Stabilizing linear least squares problems. Zbl 0193.12204Pereyra, Victor 1 1969 Nonlinear two-point boundary value problems with multiple solutions. Zbl 0234.65072Parter, Seymour V.; Pereyra, Victor 1 1971 Radial function collocation solution of partial differential equations in irregular domains. Zbl 1184.65109Pereyra, V.; Scherer, G.; Casanova, P. González 1 2007 Model order reduction with oblique projections for large scale wave propagation. Zbl 1329.86018Pereyra, Victor 4 2016 Least squares data fitting with applications. Zbl 1270.65008Hansen, Per Christian; Pereyra, Víctor; Scherer, Godela 18 2013 Equispaced Pareto front construction for constrained bi-objective optimization. Zbl 1286.90138Pereyra, Victor; Saunders, Michael; Castillo, Jose 8 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 Exponential data fitting and its applications. Zbl 1469.65009 2 2010 Fast computation of equispaced Pareto manifolds and Pareto fronts for multiobjective optimization problems. Zbl 1159.65060Pereyra, Victor 9 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. 3 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. 7 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 86 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 0944.00065 5 1999 Adaptation of a two-point boundary value problem solver to a vector- multiprocessor environment. Zbl 0704.65013Wright, S. J.; Pereyra, V. 1 1990 Numerical methods for inverse problems in three-dimensional geophysical modeling. Zbl 0635.65132Pereyra, V. 1 1988 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. 3 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. 13 1979 PASVA 3: An adaptive finite difference Fortran program for first order nonlinear, ordinary boundary problems. Zbl 0434.65067Pereyra, V. 7 1979 A method for separable nonlinear least squares problems with separable nonlinear equality constraints. Zbl 0385.65030Kaufman, Linda; Pereyra, Victor 8 1978 Symbolic generation of finite difference formulas. Zbl 0387.65049Keller, H. B.; Pereyra, V. 7 1978 Finite difference solution of two-point boundary value problems and symbolic manipulation. Zbl 0416.65059Pereyra, V. 1 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. 5 1975 A variable order finite difference method for nonlinear multipoint boundary value problems. Zbl 0308.65054Lentini, M.; Pereyra, V. 37 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. 178 1973 Efficient computer manipulation of tensor products with applications to multidimensional approximation. Zbl 0282.65019Pereyra, V.; Scherer, G. 11 1973 Least squares estimation for a class of non-linear models. Zbl 0263.65011Guttman, Irwin; Pereyra, Victor; Scolnik, Hugo D. 7 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 100 1971 Solving confluent Vandermonde systems of Hermite type. Zbl 0217.52601Galimberti, G.; Pereyra, V. 13 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. 6 1970 Stability of general systems of linear equations. Zbl 0172.42501Pereyra, Victor 5 1969 Stabilizing linear least squares problems. Zbl 0193.12204Pereyra, Victor 1 1969 Iterated deferred corrections for nonlinear boundary value problems. Zbl 0176.15003Pereyra, Victor 29 1968 Iterated deferred corrections for nonlinear operator equations. Zbl 0258.65059Pereyra, Victor 39 1967 Accelerating the convergence of discretization algorithms. Zbl 0265.65043Pereyra, Victor 19 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, Victor 11 1967 On improving an approximate solution of a functional equation by deferred corrections. Zbl 0173.18103Pereyra, Victor 39 1966 On the convergence and precision of a process of successive differential corrections. Zbl 0196.48501Zadunaisky, P. E.; Pereyra, V. 4 1966 The correction difference method for non-linear boundary value problems of class M. Zbl 0143.38001Pereyra, Victor 2 1965 Cited by 2 Authors 1 Diniz-Ehrhardt, Maria Aparecida 1 Martínez, José Mario Cited in 1 Serial 1 Numerical Algorithms Cited in 2 Fields 1 Numerical analysis (65-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year