dc.creatorMartinez J.
dc.date1991
dc.date2015-06-30T14:09:34Z
dc.date2015-11-26T14:41:47Z
dc.date2015-06-30T14:09:34Z
dc.date2015-11-26T14:41:47Z
dc.date.accessioned2018-03-28T21:49:00Z
dc.date.available2018-03-28T21:49:00Z
dc.identifier
dc.identifierJournal Of Computational And Applied Mathematics. , v. 34, n. 2, p. 171 - 190, 1991.
dc.identifier3770427
dc.identifier10.1016/0377-0427(91)90040-Q
dc.identifierhttp://www.scopus.com/inward/record.url?eid=2-s2.0-12544254655&partnerID=40&md5=6746a074e8695eacb150702f724a4651
dc.identifierhttp://www.repositorio.unicamp.br/handle/REPOSIP/99208
dc.identifierhttp://repositorio.unicamp.br/jspui/handle/REPOSIP/99208
dc.identifier2-s2.0-12544254655
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1251004
dc.descriptionWe analyze iterative processes of type xk+1 = xk - π(xk, Ek)F(xk) for solving F(x) = 0, F:Rn → Rm, m ≤ n. Parameters Ek are updated at each iteraction using least-change secant update procedures. We prove local, linear and superlinear convergence results. We introduce two new superlinearly convergent methods of this type, and one linearly convergent Quasi-Newton generalization of Cimmino's parallel algorithm for solving linear systems. Some numerical experiments are presented. © 1991.
dc.description34
dc.description2
dc.description171
dc.description190
dc.descriptionBrent, Some Efficient Algorithms for Solving Systems of Nonlinear Equations (1973) SIAM Journal on Numerical Analysis, 10, pp. 327-344
dc.descriptionBrown, A Quadratically Convergent Newton-Like Method Based Upon Gaussian Elimination (1969) SIAM Journal on Numerical Analysis, 6, pp. 560-569
dc.descriptionBroyden, A class of methods for solving nonlinear simultaneous equations (1965) Mathematics of Computation, 19, pp. 577-593
dc.descriptionBroyden, The convergence of an algorithm for solving sparse nonlinear systems (1971) Mathematics of Computation, 25, pp. 285-294
dc.descriptionBroyden, Dennis, Jr, Moré, On the local and superlinear convergence of quasi-Newton methods (1973) J. Inst. Math. Appl., 12, pp. 223-245
dc.descriptionCimmino, Calcolo approssimato per le soluzioni dei sistemi di equazioni lineari (1938) Ricerca Sci. Ser II, 4 (1), pp. 326-333
dc.descriptionDennis, Jr, Moré, A characterization of superlinear convergence and its application to quasi-Newton methods (1974) Mathematics of Computation, 28, pp. 549-560
dc.descriptionDennis, Jr, Moré, Quasi-Newton Methods, Motivation and Theory (1977) SIAM Review, 19, pp. 46-89
dc.descriptionDennis, Jr, Schnabel, Least Change Secant Updates for Quasi-Newton Methods (1979) SIAM Review, 21, pp. 443-459
dc.descriptionDennis, Jr, Schnabel, Numerical Methods for Unconstrained Optimization and Nonlinear Equations (1983) Prentice-Hall Ser. Comput. Math., , Prentice-Hall, Englewood Cliffs,NJ
dc.descriptionDennis, Jr, Walker, Convergence Theorems for Least-Change Secant Update Methods (1981) SIAM Journal on Numerical Analysis, 18, pp. 949-987
dc.descriptionGay, Brown's method and some generalizations with applications to minimization problems (1975) TR75-225, Dept. Comput. Sci.,, , Cornell Univ, Ithaca, NY
dc.descriptionGolub, Van Loan, (1983) Matrix Computations, , Johns Hopkins Univ. Press, Baltimore, MD
dc.descriptionGreenstadt, Variations on variable-metric methods (1970) Math. Comp., 24, pp. 1-22
dc.descriptionGriewank, Toint, On the unconstrained optimization of partially separable functions (1981) Nonlinear Optimization, , M.J.D. Powell, Academic Press, New York
dc.descriptionGriewank, Toint, Partitioned variable metric for large structured optimization problems (1982) Numer. Math., 39, pp. 119-137
dc.descriptionGriewank, Toint, Local convergence analysis for partitioned quasi-Newton updates (1982) Numer. Math., 39, pp. 429-448
dc.descriptionGriewank, Toint, Numerical experiments with partially separable optimization problems (1984) Numerical Analysis, Proceedings Dundee 1983, 1066, pp. 203-220. , D.F. Griffiths, Springer, Berlin, Lecture Notes in Math
dc.descriptionKarmarkar, A new polynomial-time algorithm for linear programming (1984) Combinatorica, 4, pp. 373-395
dc.descriptionMartínez, Generalization of the Methods of Brent and Brown for Solving Nonlinear Simultaneous Equations (1979) SIAM Journal on Numerical Analysis, 16, pp. 434-448
dc.descriptionMartínez, Solving nonlinear simultaneous equations with a generalization of Brent's method (1980) BIT, 20, pp. 501-510
dc.descriptionMartínez, Solution of nonlinear systems of equations by an optimal projection method (1986) Computing, 37, pp. 59-70
dc.descriptionMartínez, Sampaio, Parallel and sequential Kaczmarz methods for solving underdetermined nonlinear equations (1986) J. Comput. Appl. Math., 15 (3), pp. 311-321
dc.descriptionMarwil, Exploiting sparsity in Newton-type methods (1978) Ph.D. Thesis, , Cornell Univ, Ithaca, NY
dc.descriptionMarwil, Convergence Results for Schubert’s Method for Solving Sparse Nonlinear Equations (1979) SIAM Journal on Numerical Analysis, 16, pp. 588-604
dc.descriptionMeyn, Solution of underdetermined nonlinear equations by stationary methods (1983) Numer. Math., 42, pp. 161-172
dc.descriptionOrtega, Rheinboldt, (1970) Iterative Solution of Nonlinear Equations in Several Variables, , Academic Press, New York
dc.descriptionPowell, A new algorithm for unconstrained optimization (1970) Nonlinear Programming, , J.B. Rosen, O.L. Mangasarian, K. Ritter, Academic Press, New York
dc.descriptionSchubert, Modification of a quasi-Newton method for nonlinear equations with a sparse Jacobian (1970) Mathematics of Computation, 24, pp. 27-30
dc.descriptionSchwetlick, (1978) Numerische Lösung nichtlinearer Gleichungen, , Deutscher Verlag der Wissenschaften, Berlin
dc.descriptionToint, On sparse and symmetric matrix updating subject to a linear equation (1977) Mathematics of Computation, 31, pp. 954-961
dc.descriptionToint, Numerical solution of large sets of algebraic nonlinear equations (1986) Mathematics of Computation, 46, pp. 175-189
dc.descriptionWalker, Watson, Least change secant update methods for underdetermined systems (1989) Research Report, , Dept. Math., Utah State Univ, UT
dc.languageen
dc.publisher
dc.relationJournal of Computational and Applied Mathematics
dc.rightsfechado
dc.sourceScopus
dc.titleQuasi-newton Methods For Solving Underdetermined Nonlinear Simultaneous Equations
dc.typeArtículos de revistas


Este ítem pertenece a la siguiente institución