Geodesic
On a class of interior point algorithms
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 49 (2009) no. 12, pp. 2114-2130

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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. 
@article{ZVMMF_2009_49_12_a2,
     author = {V. I. Zorkal'tsev},
     title = {On a~class of interior point algorithms},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {2114--2130},
     publisher = {mathdoc},
     volume = {49},
     number = {12},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_12_a2/}
}
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V. I. Zorkal'tsev. On a class of interior point algorithms. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 49 (2009) no. 12, pp. 2114-2130. http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_12_a2/