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학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
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We present, under a weak majorant condition, a local conver- gence analysis for the Gauss-Newton method for injective-overdetermined systems of equations in a Hilbert space setting. Our results provide un- der the same information a larger radius of convergence and tighter er- ror estimates on the distances involved than in earlier studies such us [10, 11, 13, 14, 18]. Special cases and numerical examples are also in- cluded in this study.
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참고문헌 (22)
참고문헌 신청
A. A. Magrenan / 2013 / Estudio de la dinamica del metodo de Newton amortiguado / PhD / Universidad de La Rioja
C. Li and / 2007 / Majorizing functions and convergence of the Gauss-Newton method for convex composite optimization / SIAM J. Optim 18 (2) : 613 ~ 692
I. K. Argyros / 2007 / Computational Theory of Iterative Methods / Elsevier
I. K. Argyros / 2008 / Concerning the semilocal convergence of Newton's method and convex majorants / Rend. Circ. Mat. Palermo (2) 57 (3) : 331 ~ 341
I. K. Argyros / 2009 / Concerning the convergence of Newton's method and quadratic majorants / J. Appl. Math. Comput 29 (1-2) : 391 ~ 400
C. Li and / 2007 / Majorizing functions and convergence of the Gauss-Newton method for convex composite optimization / SIAM J. Optim 18 (2) : 613 ~ 692
I. K. Argyros / 2007 / Computational Theory of Iterative Methods / Elsevier
I. K. Argyros / 2008 / Concerning the semilocal convergence of Newton's method and convex majorants / Rend. Circ. Mat. Palermo (2) 57 (3) : 331 ~ 341
I. K. Argyros / 2009 / Concerning the convergence of Newton's method and quadratic majorants / J. Appl. Math. Comput 29 (1-2) : 391 ~ 400
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