Inductive Proof of the Simplex Method

نویسنده

  • George B. Dantzig
چکیده

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

A New Method for Computing Determinants By Reducing The Orders By Two

In this paper we will present a new method to calculate determinants of square matrices. The method is based on the Chio-Dodgson's condensation formula and our approach automatically affects in reducing the order of determinants by two. Also, using the Chio's condensation method we present an inductive proof of Dodgson's determinantal identity.

متن کامل

An Inductive Proof Method for Simulation-based Compiler Correctness

We study induction on the program structure as a proof method for bisimulation-based compiler correctness. We consider a first-order language with mutually recursive function definitions, system calls, and an environment semantics. The proof method relies on a generalization of compatibility of function definition with the bisimulation. We use the inductive method to show correctness of a form ...

متن کامل

Augmented Downhill Simplex a Modified Heuristic Optimization Method

Augmented Downhill Simplex Method (ADSM) is introduced here, that is a heuristic combination of Downhill Simplex Method (DSM) with Random Search algorithm. In fact, DSM is an interpretable nonlinear local optimization method. However, it is a local exploitation algorithm; so, it can be trapped in a local minimum. In contrast, random search is a global exploration, but less efficient. Here, rand...

متن کامل

A Proof by the Simplex Method for the Diameter of a (0,1)-Polytope

Naddef [3] shows that the Hirsch conjecture is true for (0,1)-polytopes by proving that the diameter of any (0, 1)-polytope in d-dimensional Euclidean space is at most d. In this short paper, we give a simple proof for the diameter. The proof is based on the number of solutions generated by the simplex method for a linear programming problem. Our work is motivated by Kitahara and Mizuno [2], in...

متن کامل

Data Conversion Method between a Natural Number and a Binary Tree for an Inductive Proof and Its Application

This paper presents modeling of a binary tree that represents a natural number and gives an inductive proof for its properties using theorem provers. We define a function for converting data from a natural number into a binary tree and give an inductive proof for its well-definedness. We formalize this method, develop a computational model based on it, and apply it to an electronic cash protoco...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:
  • IBM Journal of Research and Development

دوره 4  شماره 

صفحات  -

تاریخ انتشار 1960