Zobrazeno 1 - 10
of 12
pro vyhledávání: '"Véra Lucia Rocha Lopes"'
Publikováno v:
Computational Optimization and Applications. 40:373-388
Optimality (or KKT) systems arise as primal-dual stationarity conditions for constrained optimization problems. Under suitable constraint qualifications, local minimizers satisfy KKT equations but, unfortunately, many other stationary points (includi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a00160b706f609276d22ed256e0f6508
https://doi.org/10.1007/s10589-007-9090-4
https://doi.org/10.1007/s10589-007-9090-4
Publikováno v:
Annals of Operations Research. 157:193-205
In inexact Newton methods for solving nonlinear systems of equations, an approximation to the step sk of the Newton’s system J(xk)s=−F(xk) is found. This means that sk must satisfy a condition like ‖F(xk)+J(xk)sk‖≤ηk‖F(xk)‖ for a forci
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::09fdd7a2789d182158348219ac15de62
https://doi.org/10.1007/s10479-007-0196-y
https://doi.org/10.1007/s10479-007-0196-y
Autor:
Véra Lucia Rocha Lopes, Rosana Pérez
Publikováno v:
Numerical Algorithms. 35:261-285
This paper presents a survey on recent applications of quasi-Newton methods to solve nonlinear systems of equations which appear in applied areas such as physics, biology, engineering, geophysics, chemistry and industry. It is also presented a compar
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bff76ce7495cf720d9576ac336acb69e
https://doi.org/10.1023/b:numa.0000021762.83420.40
https://doi.org/10.1023/b:numa.0000021762.83420.40
Publikováno v:
Journal of Computational and Applied Mathematics. 158(2):317-337
In this work new quasi-Newton methods for solving large-scale nonlinear systems of equations are presented. In these methods q(>1) columns of the approximation of the inverse Jacobian matrix are updated in such a way that the q last secant equations
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c5a2d415192732f734816053682940ec
Publikováno v:
Optimization. 52:417-440
A globally convergent discrete Newton method is proposed for solving large-scale nonlinear systems of equations. Advantage is taken from discretization steps so that the residual norm can be reduced while the Jacobian is approximated, besides the red
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::29e1cddf9998549bc25bc83e934ae785
https://doi.org/10.1080/02331930310001611538
https://doi.org/10.1080/02331930310001611538
Publikováno v:
Applied Numerical Mathematics. 36:231-248
In this work, after a theoretical explanation of the monotone iteration method, there are presented several numerical experiments with this method, when applied to solve some nonlinear elliptic equations. It is shown that, in some cases, uniqueness o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a98d759079eef28082e1c912eb9814eb
https://doi.org/10.1016/s0168-9274(00)00005-2
https://doi.org/10.1016/s0168-9274(00)00005-2
Publikováno v:
Nonlinear Analysis: Theory, Methods & Applications. 42:663-672
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b3dccfe948dd5883da008fe396524bc2
https://doi.org/10.1016/s0362-546x(99)00122-4
https://doi.org/10.1016/s0362-546x(99)00122-4
Publikováno v:
Applied Numerical Mathematics. 30:3-22
A family of Least-Change Secant-Update methods for solving nonlinear complementarity problems based on nonsmooth systems of equations is introduced. Local and superlinear convergence results for the algorithms are proved. Two different reformulations
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::dba057a81a81051661701514a6e83ad3
https://doi.org/10.1016/s0168-9274(98)00080-4
https://doi.org/10.1016/s0168-9274(98)00080-4
Publikováno v:
Numerical Functional Analysis and Optimization. 16:1193-1209
We develop a theory of quasi-New ton and least-change update methods for solving systems of nonlinear equations F(x) = 0. In this theory, no differentiability conditions are necessary. Instead, we assume that Fcan be approximated, in a weak sense, by
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e690223f4ac22baf76711ec9ffc9494b
https://doi.org/10.1080/01630569508816669
https://doi.org/10.1080/01630569508816669
Publikováno v:
Computational & Applied Mathematics, Volume: 27, Issue: 2, Pages: 175-199, Published: 2008
Computational & Applied Mathematics v.27 n.2 2008
Computational & Applied Mathematics
Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)
instacron:SBMAC
Computational & Applied Mathematics v.27 n.2 2008
Computational & Applied Mathematics
Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)
instacron:SBMAC
Restarting GMRES, a linear solver frequently used in numerical schemes, is known to suffer from stagnation. In this paper, a simple strategy is proposed to detect and avoid stagnation, without modifying the standard GMRES code. Numerical tests with t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::71977c301feff5673879e69abc81cf6b
http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022008000200004&lng=en&tlng=en
http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022008000200004&lng=en&tlng=en
