Geodesic
Reduction of Optimization Problem with a Homographic Functional to that with a Linear Functional
Matematičeskoe obrazovanie, Tome 52 (2009) no. 4, pp. 19-23.

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It is shown that a problem of optimization with a homographic functional can be reduced to that with a linear functional by a projective transformation which conserves nonnegativity of variables. 
@article{MO_2009_52_4_a2,
     author = {V. Motanov},
     title = {Reduction of {Optimization} {Problem} with a {Homographic} {Functional} to that with a {Linear} {Functional}},
     journal = {Matemati\v{c}eskoe obrazovanie},
     pages = {19--23},
     publisher = {mathdoc},
     volume = {52},
     number = {4},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MO_2009_52_4_a2/}
}
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V. Motanov. Reduction of Optimization Problem with a Homographic Functional to that with a Linear Functional. Matematičeskoe obrazovanie, Tome 52 (2009) no. 4, pp. 19-23. http://geodesic.mathdoc.fr/item/MO_2009_52_4_a2/