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  1. Computational Mathematics and Mathematical Physics
  2. Computational Mathematics and Mathematical Physics : Volume 49
  3. Computational Mathematics and Mathematical Physics : Volume 49, Issue 12, December 2009
  4. On a class of interior point algorithms
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Computational Mathematics and Mathematical Physics : Volume 57
Computational Mathematics and Mathematical Physics : Volume 56
Computational Mathematics and Mathematical Physics : Volume 55
Computational Mathematics and Mathematical Physics : Volume 54
Computational Mathematics and Mathematical Physics : Volume 53
Computational Mathematics and Mathematical Physics : Volume 52
Computational Mathematics and Mathematical Physics : Volume 51
Computational Mathematics and Mathematical Physics : Volume 50
Computational Mathematics and Mathematical Physics : Volume 49
Computational Mathematics and Mathematical Physics : Volume 49, Issue 12, December 2009
Parametric dual regularization for an optimal control problem with pointwise state constraints
Study of an adaptive single-phase method for approximating the multidimensional Pareto frontier in nonlinear systems
On a class of interior point algorithms
Steplike contrast structures for a second-order ordinary differential equation with a small parameter multiplying the highest derivative
Asymptotic analysis of certain systems of linear differential equations with a large parameter
Approximation of smooth solutions to integral equations with degenerate kernels
On a new approach to asymptotic stabilization problems
Perturbed soliton solutions of the sine-Gordon equation
Mathematical modeling of electromagnetic wave propagation in nonlinear electrodynamics
Solution of the exterior boundary value problem of electromagnetic waves propagating in a dielectric waveguide with an arbitrary cross section
Finite difference method in the problem of diffraction of a plane acoustic wave in a half-plane with a cut
On the structure of internal dissipation of composite compact schemes for gasdynamic simulation
Numerical simulation of the process of formation of shock waves in electron gas in a field-effect transistor
Use of active control for elimination of flow separation with estimation of energy costs
CABARET scheme for the numerical solution of aeroacoustics problems: Generalization to linearized one-dimensional Euler equations
Computational Mathematics and Mathematical Physics : Volume 49, Issue 11, November 2009
Computational Mathematics and Mathematical Physics : Volume 49, Issue 10, October 2009
Computational Mathematics and Mathematical Physics : Volume 49, Issue 9, September 2009
Computational Mathematics and Mathematical Physics : Volume 49, Issue 8, August 2009
Computational Mathematics and Mathematical Physics : Volume 49, Issue 7, July 2009
Computational Mathematics and Mathematical Physics : Volume 49, Issue 6, June 2009
Computational Mathematics and Mathematical Physics : Volume 49, Issue 5, May 2009
Computational Mathematics and Mathematical Physics : Volume 49, Issue 4, April 2009
Computational Mathematics and Mathematical Physics : Volume 49, Issue 3, March 2009
Computational Mathematics and Mathematical Physics : Volume 49, Issue 2, February 2009
Computational Mathematics and Mathematical Physics : Volume 49, Issue 1, January 2009
Computational Mathematics and Mathematical Physics : Volume 48
Computational Mathematics and Mathematical Physics : Volume 47
Computational Mathematics and Mathematical Physics : Volume 46

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On a class of interior point algorithms

Content Provider Springer Nature Link
Author Zorkal’tsev, V. I.
Copyright Year 2009
Abstract A family of interior point algorithms for solving linear programs is examined. Under the assumption on the nondegeneracy of the problem, a theoretical justification of these algorithms is given. The sets of the algorithms converging to relatively interior optimal solutions and having linear or superlinear convergence rate are identified.
Starting Page 2017
Ending Page 2033
Page Count 17
File Format PDF
ISSN 09655425
Journal Computational Mathematics and Mathematical Physics
Volume Number 49
Issue Number 12
e-ISSN 15556662
Language English
Publisher SP MAIK Nauka/Interperiodica
Publisher Date 2009-12-21
Publisher Place Dordrecht
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword linear programming interior point method linear and superlinear convergence of interior point algorithms Computational Mathematics and Numerical Analysis
Content Type Text
Resource Type Article
Subject Computational Mathematics
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