Conference on Applications of Numerical Analysis: Held in by Richard Bellman (auth.), John Ll. Morris (eds.)

By Richard Bellman (auth.), John Ll. Morris (eds.)

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Additional resources for Conference on Applications of Numerical Analysis: Held in Dundee/Scotland, March 23–26, 1971

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Symp. on Approx. -26. July 1969, p. 179-I~9. Collatz, L. [70]: Applications of nonlinear optimization to approximation problems, in Abadie: Nonlinear and integer programming, North Holland Publ. Company ( 1 9 7 0 ) . Z S 5 - ~ 8 Collatz, L. [71]: Some applications of functional analysis to analysis, particularly to nonlinear integral equations, Proc. Advanced Seminar, University of Wisconsin Press, Madison 1971. Hammerstein, A. [30]: Nichtlineare Integralgleichungen nebst Anwendungen, Acta Math.

Y S K I [5] OUVAUT G. - LIONS J ,L. An example o f a max-min p r o b l e m i n p a r t i a l differential e q u a t i o n s . SIAM CONTROL, V o l 8, n ° 3 , August 1970. Ecoulement d'~n fluide riglde visco-plastique i~compressible. R. Aoad. Sc. Paris, 270 S@rie A, 58-60, 1970. FRANK M. - WOLFE P. An A l g o r i t h m f o r q u a d r a t i c Naval r e s . Log. q u a r t . A - Real c o n t r u c t i v e New-York, 1967, KY FAN Sur un th@or~me minimax. 259, 3925-3928, 1964. - analysis, programming.

1(x,t) ~ 0 in BxB. 7). 3)] to D. b) In the case ~I = O, we obtain field-approximation J. Schr~der [60] gave the following generalization method. one has the Suppose there exist two operators Hj(~,~) problems. O. (j = 1,2) defined in DxD which are syntone in % and antitone in ~ . 13) HI(~, ~) ~ T ~ ~ H2(~,~) and I ~ ~ for all ~ e " D D. 14) I n = 0,I,2,... Wn+ 1 = H2(Wn,Vn) starting with the elements Vo,W o g D. 3) are satisfied and that the operator T is completely continuous. 15) v 1•uKw I . 16) u(x) = T u ( x ) = ~o u 1 + tulxIt dt 1+x I we can choose Hj(~,:) = H(~,:) = ~o 1+t ~ (x) 1+x :(t) dt .

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