@article{oai:tsukuba.repo.nii.ac.jp:00028151, author = {久野, 誉人 and Kuno, Takahito and Masaki, Toshiyuki}, issue = {1}, journal = {Computational optimization and applications}, month = {Jan}, note = {In this paper, we develop an algorithm for minimizing the L q norm of a vector whose components are linear fractional functions, where q is an arbitrary positive integer. The problem is a kind of sum-of-ratios optimization problem, and often occurs in computer vision. In that case, it is characterized by a large number of ratios and a small number of variables. The algorithm we propose here exploits this feature and generates a globally optimal solution in a practical amount of computational time.}, pages = {93--109}, title = {A practical but rigorous approach to sum-of-ratios optimization in geometric applications}, volume = {54}, year = {2013} }