L5-simplex1 - Outline Dictionaries, Augmented Matrices, the...

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Unformatted text preview: Outline Dictionaries, Augmented Matrices, the Simplex Tableau Basic Feasible Solutions (BFS) The Grand Strategy: Pivoting Th Math 407A: Linear Optimization Lecture 5: Simplex Algorithm I Math Dept, University of Washington Lecture 5: Simplex Algorithm I: Math 407A: Linear Optimization Math Dept, University of Washington Outline Dictionaries, Augmented Matrices, the Simplex Tableau Basic Feasible Solutions (BFS) The Grand Strategy: Pivoting Th Dictionaries, Augmented Matrices, the Simplex Tableau Dictionaries The Simplex Tableau Basic Feasible Solutions (BFS) The Grand Strategy: Pivoting The Simplex Algorithm in Matrix Form Lecture 5: Simplex Algorithm I: Math 407A: Linear Optimization Math Dept, University of Washington Outline Dictionaries, Augmented Matrices, the Simplex Tableau Basic Feasible Solutions (BFS) The Grand Strategy: Pivoting Th The Simplex Algorithm We develop a method for solving standard form LPs. Lecture 5: Simplex Algorithm I: Math 407A: Linear Optimization Math Dept, University of Washington Outline Dictionaries, Augmented Matrices, the Simplex Tableau Basic Feasible Solutions (BFS) The Grand Strategy: Pivoting Th The Simplex Algorithm We develop a method for solving standard form LPs. max 5 x 1 + 4 x 2 + 3 x 3 s.t. 2 x 1 + 3 x 2 + x 3 5 4 x 1 + x 2 + 2 x 3 11 3 x 1 + 4 x 2 + 2 x 3 8 x 1 , x 2 , x 3 Lecture 5: Simplex Algorithm I: Math 407A: Linear Optimization Math Dept, University of Washington Outline Dictionaries, Augmented Matrices, the Simplex Tableau Basic Feasible Solutions (BFS) The Grand Strategy: Pivoting Th The Simplex Algorithm We develop a method for solving standard form LPs. max 5 x 1 + 4 x 2 + 3 x 3 s.t. 2 x 1 + 3 x 2 + x 3 5 4 x 1 + x 2 + 2 x 3 11 3 x 1 + 4 x 2 + 2 x 3 8 x 1 , x 2 , x 3 At this point we only have one tool to attack linear systems; Lecture 5: Simplex Algorithm I: Math 407A: Linear Optimization Math Dept, University of Washington Outline Dictionaries, Augmented Matrices, the Simplex Tableau Basic Feasible Solutions (BFS) The Grand Strategy: Pivoting Th The Simplex Algorithm We develop a method for solving standard form LPs. max 5 x 1 + 4 x 2 + 3 x 3 s.t. 2 x 1 + 3 x 2 + x 3 5 4 x 1 + x 2 + 2 x 3 11 3 x 1 + 4 x 2 + 2 x 3 8 x 1 , x 2 , x 3 At this point we only have one tool to attack linear systems; Gaussian elimination for solving linear systems of equations. Lecture 5: Simplex Algorithm I: Math 407A: Linear Optimization Math Dept, University of Washington Outline Dictionaries, Augmented Matrices, the Simplex Tableau Basic Feasible Solutions (BFS) The Grand Strategy: Pivoting Th The Simplex Algorithm We develop a method for solving standard form LPs. max 5 x 1 + 4 x 2 + 3 x 3 s.t. 2 x 1 + 3 x 2 + x 3 5 4 x 1 + x 2 + 2 x 3 11 3 x 1 + 4 x 2 + 2 x 3 8 x 1 , x 2 , x 3 At this point we only have one tool to attack linear systems; Gaussian elimination for solving linear systems of equations....
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This note was uploaded on 07/05/2010 for the course MTH 407 taught by Professor Burke during the Summer '10 term at University of Washington.

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L5-simplex1 - Outline Dictionaries, Augmented Matrices, the...

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