Matrix Computations

by Gene H. Golub
Matrix Computations cover
Good Books rating 4.0
Science and Innovation
Technical
  • ID: 3439
  • Added: 2025-10-18
  • Updated: 2025-10-18
  • ISBN: 9781421408590
  • Publisher: JHU Press
  • Published: 2013-02-15
  • Reviews: 3

Matrix Computations is a definitive resource for understanding numerical linear algebra from both theoretical and practical perspectives. It serves as an indispensable tool for computational scientists, engineers, and researchers in the numerical linear algebra community. The fourth edition has been thoroughly expanded and updated, including new sections on tensor computations, fast transforms, parallel LU, and more. It is packed with challenging problems, insightful derivations, and extensive references to the literature, making it a must-have for anyone looking to master matrix computations./n/nThis book is not just a theoretical treatise but also a practical guide, offering solutions to matrix problems and an appreciation of their mathematical properties. It has been widely recognized, placing in the top 10 most cited math books since 2005, and is a valuable resource for developers of numerical methods and software.

Reviews
Reddit · 2025-10-18
Reference 3.50

The book is excellent as a reference text but may not be ideal for learning from scratch. It is better suited for those already familiar with the subject.

This Reddit discussion highlights that while 'Matrix Computations' is an excellent reference text, it may not be the best choice for someone looking to learn the material from the ground up. The reviewer suggests that the book is better suited for those who already have a foundational understanding of numerical linear algebra and are looking for a comprehensive reference. The book's depth and breadth of content are praised, but its complexity might be overwhelming for beginners. The reviewer does not provide specific criticisms but emphasizes the book's value as a reference.

Quick quotes

    Matrix computations is excellent as well but it is better as a reference text rather than a book to learn from.

    From what I have been told Matrix computations is excellent as well but it is better as a reference text rather than a book to learn from.

    It's difficult to use this book to ...

Amazon · 2025-10-18
Erudite 4.50

The book is praised for its thoroughness and erudition in numerical linear analysis. The authors are recognized as pioneers in matrix analysis.

This review highlights the book's comprehensive coverage of numerical linear analysis, noting its thorough and erudite approach. The authors, Golub and Van Loan, are celebrated for their pioneering work in matrix analysis. The reviewer appreciates the depth of content and the authoritative perspective provided by the authors. However, the review does not delve into specific criticisms or areas for improvement, focusing instead on the book's strengths and the expertise of its authors.

Quick quotes

    One of the most thorough and erudite books on numerical linear analysis available.

    The authors, Golub and Van Loan, are pioneers in matrix analysis.

    The review ...

ScienceDirect · GW Stewart · 1987-01-01
Comprehensive 4.00

The book is structured into four parts, systematically developing background materials and advanced topics. The reviewer finds it a valuable resource for understanding matrix algebra and norms.

GW Stewart's review notes that the book is well-organized into four distinct parts, each building systematically on the previous one. The first part covers essential background materials such as matrix algebra and norms, providing a solid foundation for the more advanced topics discussed later. Stewart appreciates the book's comprehensive approach and finds it a valuable resource for those looking to deepen their understanding of numerical linear algebra. The reviewer does not mention any significant drawbacks, focusing instead on the book's structured and thorough presentation.

Quick quotes

    The book divides rather naturally into four parts.

    The first is a systematic development of the background materials-a review of matrix algebra, norms, and ...

    The book provides a comprehensive overview of numerical linear algebra and its applications.

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