Chapter 0 : Numerical Linear Algebra Problems : Their Importance and Computational Difficulties. Chapter 1 : A Review of Required Linear Algebra Concepts Chapter 2 : Floating Point Numbers and Errors in Computations Chapter 3 : Stability of Algorithms and Conditioning of Problems Chapter 4 : Numerically Effective Algorithms and Mathematical Software Chapter 5 : Some Useful Transformations in Numerical Linear Algebra and Their Applications Chapter 6 : Numerical Solutions of Linear Systems Chapter 7 : Least-Squares Solutions to Linear Systems Chapter 8 : Numerical Matrix Eigenvalue Problems Chapter 9 : The Generalized Eigenvalue Problem Chapter 10 : The Singular Value Decomposition (SVD) Chapter 11 : A Taste of Roundoff Error Analysis Appendices : A Brief Introduction to MATLAB ; MATCOM and Selected MATLAB Programs from MATCOM ; A List of Commonly Used LAPACK Routines ; Key Terms in Numerical Linear Algebra and Partial Solutions and Answer to Some Selected Problems. Chapters 6 through 10 contain applications and case studies showing how linear algebra problems arise in engineering and other applied sciences. There are statements on " Required Background Material " at the beginning and " Summary and Review " at the end of each Chapter. The book is intended for use in both undergraduate and beginning level graduate courses in numerical linear algebra, numerical analysis, and applied linear algebra, as well as by scientists and engineers for self-study and reference.
last change of this page: 18.4.1995