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Iteration Complexity of Randomized Block-Coordinate Descent Methods for Minimizing a Composite Function
Block coordinate descent iteration complexity composite minimization coordinate relaxation alternating minimization
2011/9/6
Abstract: In this paper we develop a randomized block-coordinate descent method for minimizing the sum of a smooth and a simple nonsmooth block-separable convex function and prove that it obtains an $...
We study the commutation structure within the Pauli groups built on all decompositions of a given Hilbert space dimension q, containing a square, into its factors.
Optimal bounds on the modulus of continuity of the uncentered Hardy-Littlewood maximal function
modulus of continuity uncentered Hardy-Littlewood maximal function
2010/12/1
We obtain sharp bounds for the modulus of continuity of the uncentered maxi-mal function in terms of the modulus of continuity of the given function, via integral formulas.
Solving Fuzzy Linear Programming Problems with Linear Membership Function
Fuzzy linear programming fuzzy number modified subgradient method fuzzy decisive set method
2010/3/1
In this paper, we concentrate on two kinds of fuzzy linear programming problems: linear programming problems with only fuzzy technological coefficients and linear programming problems in which both th...