Remote Access Bulletin of the American Mathematical Society

Bulletin of the American Mathematical Society

ISSN 1088-9485(online) ISSN 0273-0979(print)

   
 
 

 

A general approach to Newton’s method for Banach space problems with equality constraints


Author: R. A. Tapia
Journal: Bull. Amer. Math. Soc. 80 (1974), 355-360
MSC (1970): Primary 47H15, 49D15, 65J05
DOI: https://doi.org/10.1090/S0002-9904-1974-13503-2
MathSciNet review: 0351080
Full-text PDF Free Access

References | Similar Articles | Additional Information

References [Enhancements On Off] (What's this?)

  • H. A. Antosiewicz, Newton’s method and boundary value problems, J. Comput. System Sci. 2 (1968), 177–202. MR 243734, DOI https://doi.org/10.1016/S0022-0000%2868%2980031-5
  • 2. J. E. Dennis, Jr., Variations on Newton’s method, Doctoral thesis, University of Utah, Salt Lake City, Ut., 1966.
  • M. Golomb and R. A. Tapia, The metric gradient in normed linear spaces, Numer. Math. 20 (1972/73), 115–124. MR 324406, DOI https://doi.org/10.1007/BF01404401
  • J. M. Ortega and W. C. Rheinboldt, Iterative solution of nonlinear equations in several variables, Academic Press, New York-London, 1970. MR 0273810
  • Louis B. Rall, Computational solution of nonlinear operator equations, John Wiley & Sons, Inc., New York-London-Sydney, 1969. With an appendix by Ramon E. Moore. MR 0240944
  • 6. S. M. Robinson, Extension of Newton’s method to mixed systems of nonlinear equations and inequalities, Rep. 1161, Mathematics Research Center, University of Wisconsin, Madison, Wise, 1971. 7. M. Stein, On methods of obtaining solutions of fixed end point problems in the calculus of variations, Doctoral thesis, University of California, Los Angeles, Calif., 1950.
  • Richard A. Tapia, An application of a Newton-like method to the Euler-Lagrange equation, Pacific J. Math. 29 (1969), 235–246. MR 250479
  • Richard A. Tapia, The weak Newton method and boundary value problems, SIAM J. Numer. Anal. 6 (1969), 539–550. MR 264848, DOI https://doi.org/10.1137/0706048
  • 10. R. A. Tapia, Newton’s method for problems with equality constraints, SIAM J. Numer. Anal. (to appear). 11. R. A. Tapia, Newton’s method for optimization problems with equality constraints, SIAM J. Numer. Anal. (to appear).

Similar Articles

Retrieve articles in Bulletin of the American Mathematical Society with MSC (1970): 47H15, 49D15, 65J05

Retrieve articles in all journals with MSC (1970): 47H15, 49D15, 65J05


Additional Information