Note: Supplemental materials are not guaranteed with Rental or Used book purchases.
Purchase Benefits
What is included with this book?
Nonlinear Equations: Lecture | |
By the Dawn's Early Light | |
Interval Bisection | |
Relative Error | |
Lecture | |
Newton's Method | |
Reciprocals and Square Roots | |
Local Convergence Analysis | |
Slow Death | |
Lecture | |
A Quasi-Newton Method | |
Rates of Convergence | |
Iterating for a Fixed Point | |
Multiple Zeros | |
Ending with a Proposition | |
Lecture | |
The Secant Method | |
Convergence | |
Rate of Convergence | |
Multipoint Methods | |
Muller's Method | |
The Linear-Fractional Method | |
Lecture | |
A Hybrid Method | |
Errors, Accuracy, and Condition Numbers | |
Computer Arithmetic: Lecture | |
Floating-Point Numbers | |
Overflow and Underflow | |
Rounding Error | |
Floating-point Arithmetic | |
Lecture | |
Computing Sums | |
Backward Error Analysis | |
Perturbation Analysis | |
Cheap and Chippy Chopping | |
Lecture | |
Cancellation | |
The Quadratic Equation | |
That Fatal Bit of Rounding Error | |
Envoi | |
Linear Equations: Lecture | |
Matrices, Vectors, and Scalars | |
Operations with Matrices | |
Rank-One Matrices | |
Partitioned Matrices | |
Lecture | |
Theory of Linear Systems | |
Computational Generalities | |
Triangular Systems | |
Operation Counts | |
Lecture | |
Memory Considerations | |
Row Oriented Algorithms | |
A Column Oriented Algorithm | |
General Observations on Row and Column Orientation | |
Basic Linear Algebra Subprograms | |
Lecture | |
Positive Definite Matrices | |
The Cholesky Decomposition | |
Economics | |
Lecture | |
Inner-Product Form of the Cholesky Algorithm | |
Gaussian Elimination | |
Lecture | |
Pivoting | |
BLAS | |
Upper Hessenberg and Tridiagonal Systems | |
Lecture | |
Vector Norms | |
Matrix Norms | |
Relative Error | |
Sensitivity of Linear Systems | |
Lecture | |
The Condition of Linear Systems | |
Artificial Ill Conditioning | |
Rounding Error and Gaussian Elimination | |
Comments on the Analysis | |
Lecture | |
The Wonderful Residual: A Project | |
Introduction | |
More on Norms | |
The Wonderful Residual | |
Matrices with Known Condition | |
Invert and Multiply | |
Cramer's Rule | |
Submission | |
Polynomial Interpolation: Lecture | |
Table of Contents provided by Publisher. All Rights Reserved. |
The New copy of this book will include any supplemental materials advertised. Please check the title of the book to determine if it should include any access cards, study guides, lab manuals, CDs, etc.
The Used, Rental and eBook copies of this book are not guaranteed to include any supplemental materials. Typically, only the book itself is included. This is true even if the title states it includes any access cards, study guides, lab manuals, CDs, etc.