Introduction to Numerical Linear Algebra and Optimisation - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Introduction to Numerical Linear Algebra and Optimisation write by Philippe G. Ciarlet. This book was released on 1989-08-25. Introduction to Numerical Linear Algebra and Optimisation available in PDF, EPUB and Kindle. The purpose of this book is to give a thorough introduction to the most commonly used methods of numerical linear algebra and optimisation. The prerequisites are some familiarity with the basic properties of matrices, finite-dimensional vector spaces, advanced calculus, and some elementary notations from functional analysis. The book is in two parts. The first deals with numerical linear algebra (review of matrix theory, direct and iterative methods for solving linear systems, calculation of eigenvalues and eigenvectors) and the second, optimisation (general algorithms, linear and nonlinear programming). The author has based the book on courses taught for advanced undergraduate and beginning graduate students and the result is a well-organised and lucid exposition. Summaries of basic mathematics are provided, proofs of theorems are complete yet kept as simple as possible, and applications from physics and mechanics are discussed. Professor Ciarlet has also helpfully provided over 40 line diagrams, a great many applications, and a useful guide to further reading. This excellent textbook, which is translated and revised from the very successful French edition, will be of great value to students of numerical analysis, applied mathematics and engineering.
Introduction to Numerical Linear Algebra and Optimisation
Introduction to Numerical Linear Algebra and Optimisation - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Introduction to Numerical Linear Algebra and Optimisation write by Philippe Ciarlet. This book was released on 1988. Introduction to Numerical Linear Algebra and Optimisation available in PDF, EPUB and Kindle.
Numerical Linear Algebra and Optimization
Numerical Linear Algebra and Optimization - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Numerical Linear Algebra and Optimization write by Philip E. Gill. This book was released on 2021-05-13. Numerical Linear Algebra and Optimization available in PDF, EPUB and Kindle. This classic volume covers the fundamentals of two closely related topics: linear systems (linear equations and least-squares) and linear programming (optimizing a linear function subject to linear constraints). For each problem class, stable and efficient numerical algorithms intended for a finite-precision environment are derived and analyzed. While linear algebra and optimization have made huge advances since this book first appeared in 1991, the fundamental principles have not changed. These topics were rarely taught with a unified perspective, and, somewhat surprisingly, this remains true 30 years later. As a result, some of the material in this book can be difficult to find elsewhere—in particular, techniques for updating the LU factorization, descriptions of the simplex method applied to all-inequality form, and the analysis of what happens when using an approximate inverse to solve Ax=b. Numerical Linear Algebra and Optimization is primarily a reference for students who want to learn about numerical techniques for solving linear systems and/or linear programming using the simplex method; however, Chapters 6, 7, and 8 can be used as the text for an upper-division course on linear least squares and linear programming. Understanding is enhanced by numerous exercises.
Introduction to Numerical Linear Algebra
Introduction to Numerical Linear Algebra - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Introduction to Numerical Linear Algebra write by Christoph Börgers. This book was released on 2022-02-16. Introduction to Numerical Linear Algebra available in PDF, EPUB and Kindle. This textbook on numerical methods for linear algebra problems presents detailed explanations that beginning students can read on their own, allowing instructors to go beyond lecturing and making it suitable for a “flipped” classroom. The author covers several topics not commonly addressed in related introductory books, including diffusion, a toy model of computed tomography, global positioning systems, the use of eigenvalues in analyzing stability of equilibria, and multigrid methods. A detailed derivation and careful motivation of the QR method for eigenvalues starting from power iteration is also included, as is a discussion of the use of the SVD for grading. Introduction to Numerical Linear Algebra is appropriate for undergraduate and beginning graduate students in mathematics and related fields. It assumes that the reader has taken a course on linear algebra but reviews background as needed. It is intended as a textbook for a one-semester course on numerical linear algebra and provides background and tools for a range of application areas, including data science.
Numerical linear algebra and optimization. 2
Numerical linear algebra and optimization. 2 - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Numerical linear algebra and optimization. 2 write by Philip E. Gill. This book was released on 1991. Numerical linear algebra and optimization. 2 available in PDF, EPUB and Kindle.
