Submitted manuscript, 169 KB, PDF document
Research output: Working paper
Research output: Working paper
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TY - UNPB
T1 - A class of linearly constrained nonlinear optimization problems with corner point optimal solutions and applications in finance
AU - Huang, James
PY - 2012
Y1 - 2012
N2 - We identify a class of linearly constrained nonlinear optimizationproblems with corner point optimal solutions. These include somespecial polynomial fractional optimization problems with an objective function equal to the product of some power functions of positive linear functionals subtracting the sum of some power functions of positive linear functionals, divided by the sum of some power functions of positive linear functionals. The powers are required to be all positive integers, and the aggregate power of the product is required to be no larger than the lowest power in both of the two sums. The result has applications to some optimization problems under uncertainty, particularly in finance.
AB - We identify a class of linearly constrained nonlinear optimizationproblems with corner point optimal solutions. These include somespecial polynomial fractional optimization problems with an objective function equal to the product of some power functions of positive linear functionals subtracting the sum of some power functions of positive linear functionals, divided by the sum of some power functions of positive linear functionals. The powers are required to be all positive integers, and the aggregate power of the product is required to be no larger than the lowest power in both of the two sums. The result has applications to some optimization problems under uncertainty, particularly in finance.
KW - linear constraints
KW - non-linear optimization
KW - polynomial fractional optimization
KW - corner point optimal solutions
M3 - Working paper
BT - A class of linearly constrained nonlinear optimization problems with corner point optimal solutions and applications in finance
PB - Lancaster University
CY - Lancaster
ER -