Matrix Computations
Matrix computations is an essential topic in modern mathematics, computer science, and engineering. It deals with the theory and application of matrix algebra and its algorithms, providing a foundation for many fields, including data analysis, numerical analysis, optimization, and scientific computing. The book "Matrix Computations," published in 2013 by Johns Hopkins University Press, is an authoritative and comprehensive introduction to this subject. It is considered one of the best books on matrices.
The book is authored by Gene H. Golub and Charles F. Van Loan, who are both distinguished professors in the field of numerical analysis. Gene H. Golub was a professor of computer science at Stanford University and is widely regarded as one of the pioneers in the development of matrix computations. Charles F. Van Loan is a professor of computer science at Cornell University and has made significant contributions to the field of numerical linear algebra.
The book's introduction explains that matrix computations have become an essential tool for solving mathematical problems arising in many fields of science and engineering. The authors provide a thorough treatment of the subject, covering topics such as matrix factorizations, iterative methods, eigenvalue and singular value computations, and applications to data analysis and optimization. The book is suitable for advanced undergraduate and graduate students in mathematics, computer science, and engineering, as well as researchers and practitioners in these fields.
The book's approach is both theoretical and practical, with many examples and exercises included to aid in understanding the concepts and algorithms. The authors also provide MATLAB code for many of the algorithms discussed in the book, making it an excellent resource for those interested in implementing the methods in practice.
In summary, "Matrix Computations" is an essential reference for anyone interested in matrix algebra and its applications. Its comprehensive coverage, clear exposition, and practical examples make it an excellent resource for students, researchers, and practitioners in mathematics, computer science, and engineering.
Author: Charles F. Van Loan and Gene H. Golub
Link to buy: https://www.amazon.com/Computations-Hopkins-Studies-Mathematical-Sciences/dp/1421407949/
Ratings: 4.4 out of 5 stars (from 97 reviews)
Best Sellers Rank: #265,433 in Books
#16 in Mathematical Matrices
#43 in Linear Algebra (Books)
#729 in Applied Mathematics (Books)
