Название: Numerical Linear Algebra and Matrix Factorizations
Автор: Tom Lyche
Издательство: Springer
Серия: Texts in Computational Science and Engineering
Год: 2020
Страниц: 376
Язык: английский
Формат: pdf (true), epub
Размер: 19.2 MB
After reading this book, students should be able to analyze computational problems in linear algebra such as linear systems, least squares- and eigenvalue problems, and to develop their own algorithms for solving them. Since these problems can be large and difficult to handle, much can be gained by understanding and taking advantage of special structures. This in turn requires a good grasp of basic numerical linear algebra and matrix factorizations. Factoring a matrix into a product of simpler matrices is a crucial tool in numerical linear algebra, because it allows us to tackle complex problems by solving a sequence of easier ones. In this book we give many detailed numerical algorithms for solving linear algebra problems. We have written these algorithms as functions in MATLAB. A list of these functions and the page number where they can be found is included after the table of contents. Moreover, their listings can be found online. As for programming issues, we often vectorize the algorithms leading to shorter and more efficient programs. Stability is important both for the mathematical problems and for the numerical algorithms.
Название: Примеры и задачи по холодильной технологии пищевых продуктов. Теплофизические основы
