@article{1454050,
      note = {Previous edition: 2014.},
      author = {Pan, Ping-Qi,},
      url = {http://library.usi.edu/record/1454050},
      title = {Linear programming computation /},
      abstract = {Organized into two volumes. this book represents a real  breakthrough in the field of linear programming (LP). The  first volume addresses fundamentals, including geometry of  feasible region, simplex method, implementation of simplex  method, duality and dual simplex method, sensitivity  analysis and parametric LP, generalized simplex method,  decomposition method, interior-point method and integer LP  method, as well as reflects the state of art by  highlighting new results, such as efficient primal and dual  pivot rules, primal and dual Phase-I methods. The second  volume introduces contributions of the author himself, such  as reduced and D-reduced-simplex methods, generalized  reduced and dual reduced simplex methods, deficient-basis  and dual deficient-basis-simplex methods, and face and dual  face methods with Cholesky factorization, as well as with  LU factorization. As a monograph, this book is a rare work  in LP, containing many noval ideas and methods, supported  by complete computational results. As revealed from the  perspective of theory, the most recently achieved results,  such as reduced and D-reduced simplex methods, as well as  ILP solvers--- controlled-cut and controlled-branch  methods, are very significant and promising, though there  are no computational results available at this stage. With  a focus on computation, the content of this book ranges  from simple to profound, clear and fresh. In particular,  all algorithms are accompanied by examples for  demonstration whenever possible. As a milestone of LP, this  book is an indispensable tool for undergraduate and  graduate students, teachers, practitioners and researchers,  in LP and related fields.},
      doi = {https://doi.org/10.1007/978-981-19-0147-8},
      recid = {1454050},
      pages = {1 online resource (1 volume) :},
}