Numerical Methods by Wolfgang Boehm, Hartmut Prautzsch - 9781138413177

CRC Press

This book is written for engineers and other practitioners using numerical methods in their work and serves as a textbook for courses in applied mathematics and numerical analysis. > This book is written for engineers and other practitioners using numerical methods in their work and serves as a textbook for courses in applied mathematics and numerical analysis. > Preface -- I FUNDAMENTAL CONCEPTS -- 1 Algorithms and Error Propagation -- 1.1 Algorithms -- 1.2 The Implementation of Algorithms -- 1.3 Judging an Algorithm -- 1.4 Notes and Exercises -- 2 Matrices -- 2.1 Notations -- 2.2 Products of Matrices -- 2.3 Falk\u2019s Scheme -- 2.4 Rank and Determinant -- 2.5 Norm and Convergence -- 2.6 Notes and Exercises -- II LINEAR EQUATIONS AND INEQUALITIES -- 3 Gaussian Elimination -- 3.1 Backward Substitution -- 3.2 Gaussian Elimination -- 3.3 Pivoting -- 3.4 Notes and Exercises -- 4 The LU Factorization -- 4.1 The LU Factorization of A -- 4.2 LU Factorization with Pivoting -- 4.3 Sys.