List of Tables

3.1    Derivatives of commonly used expressions with respect to vectors.

3.2    Derivatives of commonly used expressions with respect to matrices.

5.1    Iterations given for interval bisection method for finding the root of polynomial p2(x) = x2 – √3x that lies in the interval [1, 3]

5.2    Iterations given for Example 5.5.2

5.3    Iterations given for Example 5.5.2 with a different initial guess xo = 1

5.4    Iterations given for Example 5.5.1 with secant method

5.5    The components of qk, the eigenvalue estimate λ1(k) and the error in the eigenvalue for Example 5.6.1

5.6    The components of qk, the eigenvalue estimate λ3(k), and the error in the eigenvalue for Example 5.6.2.

5.7    The components of qk, the eigenvalue estimate λ3(k) and the error in the eigenvalue for Example 5.6.2 with a shift a = 0.9

11.1  Decision rules and conditional risks for Example 11.1.1

11.2  Decision rules, and Bayes and minimax risks for Example 11.1.2.

15.1  Basic form of the simplex method

15.2  Sketch of primal-dual interior-point algorithm for solving LP

15.3  Basic form of the branch and bound algorithm for solving MIP problems

19.1  Normal form representation of a two-player game

19.2  Game matrix (from A’s point of view) for the rock-paper-scissors game.

19.3  Game matrix for the classical “prisoner’s dilemma” game

19.4  Common priors for the Cournot-Nash equilibrium with incomplete information example

19.5  Game matrix for the motorway game.

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3.145.15.1