This is an advanced textbook based on lectures given at the Moscow Physico-Technical Institute. The lectures are characterized by brevity, logical organization, and occasionally a lighthearted approach. It aims to involve the reader by asking questions, hinting, giving recommendations, comparing different methods, and discussing "optomistic" and "pessemistic" approaches to numerical analysis. Since matrix analysis underlies numerical analysis, this text emphasizes methods and algorithms of matrix analysis. Function approximations, methods of solving nonlinear equations, and minimization methods are also considered. As well as considering classical methods, new methods and approaches are discussed - such as spectral distribution theory and what it offers for design and proof of modern preconditioning strategies for large-scale linear algebra problems.
- ISBN10 0817639160
- ISBN13 9780817639167
- Publish Date 1 July 1997 (first published April 1997)
- Publish Status Active
- Publish Country US
- Imprint Birkhauser Boston Inc
- Format Hardcover
- Pages 205
- Language English