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Computing the threshold shift for general channels
Threshold the probability curve noise the binary
2015/8/21
The ‘threshold’ of a code ensemble can be defined as the noise level at which the block error probability curve crosses 1/2. For ensembles of low-density parity check codes used over the binary erasur...
Several Pairs of Differential Operators and Their Applications in Variational Calculusof a General Third Order Energy
Di甧rential operator Euler-Lagrange equation Complete-variation Geo-metric energy functional Curvature
2012/8/8
Gradient, divergence and Laplace-Beltrami operators over surfaces have played im-
portant roles in many 痚lds related to geometry and analysis, such as di甧rential ge-
ometry, computational geometry a...
General Solution of Generalized (2+1)–Dimensional Kadomtsev-Petviashvili (KP) Equation by Using the –Expansion Method
(G,/G)-Expansion Method Generalized Kadomtsev-Petviashvili (KP) Equation Hyperbolic Function Solutions Trigonometric Function Solutions
2013/1/30
In this work, the (G,/G)- --expansion method is proposed for constructing more general exact solutions of the (2 + 1)--dimensional Kadomtsev-Petviashvili (KP) equation and its generalized forms. Our w...
The non-autonomous chiral model and the Ernst equation of General Relativity in the bidifferential calculus framework
non-autonomous chiral model bidifferential calculus framework Ernst equation General Relativity
2011/7/7
We generate exact solutions of the non-autonomous chiral model, which in particular arises in General Relativity, using a general result of the bidifferential calculus approach to integrable PDDEs. In...
The non-autonomous chiral model and the Ernst equation of General Relativity in the bidifferential calculus framework
non-autonomous chiral model bidifferential calculus framework Ernst equation General Relativity
2011/7/7
We generate exact solutions of the non-autonomous chiral model, which in particular arises in General Relativity, using a general result of the bidifferential calculus approach to integrable PDDEs. In...
Implicit iteration methods in Hilbert scales under general smoothness conditions
Ill-posed problems inverse problems regularization Hilbert scales
2010/12/9
For solving linear ill-posed problems regularization methods are required when the right hand side is with some noise. In the present paper regularized solutions are obtained by implicit iteration met...
AN SQP ALGORITHM WITH NONMONOTONE LINE SEARCH FOR GENERAL NONLINEARCONSTRAINED OPTIMIZATION PROBLEM
2007/12/11
In this paper, an SQP type algorithm with a new nonmonotone line search
technique for general constrained optimization problems is presented.
The new algorithm does not have to solve the second orde...
An Interior-point Trust Region Algorithm for General Symmetric Cone Programming
interior-point algorithm trust-region subproblem symmetric cone
2012/8/1
An interior-point trust-region algorithm is proposed for minimization of general (perhaps, non-convex) quadratic objective function over the domain obtained as the intersection of a symmetric cone wit...