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U.S.S.R. Comput. Maths. Math. Phys., Vol.26, No.1, p. 96, 1986 #1987 Elsevier Science Ltd
 

Summary: U.S.S.R. Comput. Maths. Math. Phys., Vol.26, No.1, p. 96, 1986
Pergamon c
#1987 Elsevier Science Ltd
Printed in Great Britain. All rights reserved
EXTRAPOLATION METHODS OF COMPUTING
THE SADDLE POINT OF A LAGRANGE FUNCTION
AND APPLICATION TO PROBLEMS
WITH BLOCK-SEPARABLE STRUCTURE 1
A.S. ANTIPIN
Consider the problem of convex block-separable programming
x # # argmin # N
# t=1
f t (x t ) :
N
# t=1
g t (x t ) # 0, x i # Q i
# . (1)
Here, for any t = 1, 2, . . . , N , the vector x t belongs to an n-dimensional Euclidean space R n
, the function
f t (x t ) are convex, g t (x t ) = g 1t (x t ), . . . , g mt (x t ) is an m-dimensional vector, every component of which g it (x(t),

  

Source: Antipin, Anatoly S. - Dorodnicyn Computing Centre of the Russian Academy of Sciences

 

Collections: Computer Technologies and Information Sciences; Mathematics