List of Algorithms

Algorithm 9.1 Inner Product of Two Vectors 164

Algorithm 9.2 Frobenius Norm 164

Algorithm 9.3 Product of Two Matrices 165

Algorithm 9.4 Solving an Upper Triangular System 169

Algorithm 9.5 Solving a Lower Triangular System 169

Algorithm 9.6 The Thomas Algorithm 173

Algorithm 11.1 LU Decomposition Without a Zero on the Diagonal 216

Algorithm 11.2 Gaussian Elimination with Partial Pivoting 223

Algorithm 11.3 Solve Ax = b for Multiple Right-Hand Sides 226

Algorithm 11.4 Iterative Improvement 229

Algorithm 12.1 Cubic Spline Approximation 255

Algorithm 13.1 Computing the LU Decomposition of a Tridiagonal Matrix 265

Algorithm 13.2 Solve a Factored Tridiagonal System 266

Algorithm 13.3 The Cholesky Decomposition 271

Algorithm 14.1 ...

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