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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
MathSciNet review: 0351080
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  • 1. H. A. Antosiewicz, Newton’s method and boundary value problems, J. Comput. System Sci. 2 (1968), 177–202. MR 0243734 (39 #5055)
  • 2. J. E. Dennis, Jr., Variations on Newton's method, Doctoral thesis, University of Utah, Salt Lake City, Ut., 1966.
  • 3. M. Golomb and R. A. Tapia, The metric gradient in normed linear spaces, Numer. Math. 20 (1972/73), 115–124. MR 0324406 (48 #2758)
  • 4. J. M. Ortega and W. C. Rheinboldt, Iterative solution of nonlinear equations in several variables, Academic Press, New York, 1970. MR 0273810 (42 #8686)
  • 5. Louis B. Rall, Computational solution of nonlinear operator equations, With an appendix by Ramon E. Moore, John Wiley & Sons Inc., New York, 1969. MR 0240944 (39 #2289)
  • 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.
  • 8. Richard A. Tapia, An application of a Newton-like method to the Euler-Lagrange equation., Pacific J. Math. 29 (1969), 235–246. MR 0250479 (40 #3713)
  • 9. Richard A. Tapia, The weak Newton method and boundary value problems, SIAM J. Numer. Anal. 6 (1969), 539–550. MR 0264848 (41 #9439)
  • 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).

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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9904-1974-13503-2
PII: S 0002-9904(1974)13503-2