'Pivot row' diaporamas de présentation

Parallel Programming in C with MPI and OpenMP

Parallel Programming in C with MPI and OpenMP. Michael J. Quinn. Chapter 12. Solving Linear Systems. Outline. Terminology Back substitution Gaussian elimination Jacobi method Conjugate gradient method. Terminology. System of linear equations Solve Ax = b for x Special matrices

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Dave Powell, USDA Forest Service, forestryimages Image number 1210054

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LINEAR PROGRAMMING

LINEAR PROGRAMMING. Example 1. Maximise I = x + 0.8 y subject to x + y ? 1000 2 x + y ? 1500 3 x + 2 y ? 2400. Initial solution: I = 0 at (0, 0). LINEAR PROGRAMMING. Example 1. Maximise I = x + 0.8 y subject to x + y ? 1000 2 x + y ? 1500

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The Simplex Method

The Simplex Method. Standard Form. Furniture Manufacturing Problem. x y u v w M. Carp. Finish. Uph. Selecting the Pivot Column:. x y u v w M. Carp. Finish. Uph. Objective Function: 80x + 70y = M

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Problems in The Simplex Method

Problems in The Simplex Method. Minggu 3 Part 3. Solusi yang tidak fisibel (infeasible solution) Masalah yang tidak terbatas ( The unbounded linear programming ) Solusi optimal majemuk ( The alternate optimal solution ) Pivot row yang seri (degeneracy).

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ChE 250 Numeric Methods

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Engineering Analysis Gauss Elimination

Engineering Analysis Gauss Elimination. Yasser F. O. Mohammad Assiut University Egypt. Previously in NM. Introduction to NM Solving single equation System of Linear Equations Vectors and Matrices Solving Upper Triangular Form Matrices. Introduction.

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Simplex method

Simplex method. Operational Research By TMJA Cooray. General LP problem is to find the values of X 1 ,X 2 ,…..X n which maximizes (or minimizes) the objective function Max (or Min) Z= C 1 X 1 +C 2 X 2 +………C n X n While satisfying the constraints

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ECE602 BME I Linear Models of Biological System

ECE602 BME I Linear Models of Biological System. Examples of linear models of biological system Gauss elimination with partial row pivoting Jacobi iterative method. Linear Models of Biosystems. Algebraic reconstruction of a biomedical image

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Solving Linear Equations

Solving Linear Equations. Given the equations 3x + 4y = 10 2x + z = 7 y + 2z = 7 Solve by removing x and y, to find z, and thence find x and y. First equation * 2 - second equation * 3 gives 8y - 3z = -1 That equation - third equation * 8 gives

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