Introduction to Numerical Linear Algebra and Optimisation

by Philippe G. Ciarlet
Introduction to Numerical Linear Algebra and Optimisation cover
Good Books rating 4.38
Science and Innovation
Technical
  • ID: 3446
  • Added: 2025-10-18
  • Updated: 2025-10-18
  • ISBN: 9780521339841
  • Publisher: Cambridge University Press
  • Published: 1989-08-25
  • Reviews: 4

This book provides a thorough introduction to the most commonly used methods in numerical linear algebra and optimization. It is divided into two parts: the first covers matrix theory, direct and iterative methods for solving linear systems, and the calculation of eigenvalues and eigenvectors, while the second part delves into general algorithms, linear and nonlinear programming. The author, based on courses taught to advanced undergraduates and beginning graduate students, presents a well-organized and lucid exposition, complete with summaries of basic mathematics, proofs of theorems, and applications from physics and mechanics. /n/n The book includes over 40 line diagrams, numerous applications, and a useful guide to further reading, making it an excellent resource for students of numerical analysis, applied mathematics, and engineering. The text is translated and revised from the successful French edition, ensuring a high standard of clarity and depth.

Reviews
Blinkist · 2025-10-18
comprehensive 4.25

The book provides a comprehensive introduction to numerical linear algebra and optimisation, covering foundational concepts and methods.

Blinkist highlights the book as a comprehensive introduction to numerical linear algebra and optimisation. The summary emphasizes the book's ability to provide a thorough understanding of the subject matter, making it a valuable resource for those looking to grasp the fundamentals. The book's structure and content are praised for their clarity and depth, making it accessible to both students and professionals in the field.

Quick quotes

    Introduction to Numerical Linear Algebra and Optimisation by Philippe G. Ciarlet provides a comprehensive introduction to the fundamental concepts and methods of numerical linear algebra and optimisation.

    The book serves as an invaluable guide for grasping foundational concepts in numerical linear algebra and optimisation.

    The structure of the book is commended for its clarity and depth.

JSTOR · W. G. · 2025-10-18
invaluable 4.50

The reviewer praises the book for its thorough introduction to numerical linear algebra and optimisation, highlighting its value as a foundational text.

W. G. from Mathematics of Computation praises the book for its thorough introduction to numerical linear algebra and optimisation. The reviewer notes that the book serves as an invaluable guide for understanding the foundational concepts in these fields. The structure of the book, divided into two parts, is commended for its clarity and depth. W. G. emphasizes the book's importance as a resource for both students and professionals looking to grasp the essentials of numerical linear algebra and optimisation.

Quick quotes

    Introduction to Numerical Linear Algebra and Optimisation by Philippe G. Ciarlet (2012) serves as an invaluable guide for grasping foundational concepts in numerical linear algebra and optimisation.

    The book is divided into two parts, making it easier to follow and understand the key concepts.

    The structure of the book is commended for its clarity and depth.

Goodreads · 2025-10-18
comprehensive 4.00

The book provides a comprehensive introduction to numerical linear algebra and optimisation, divided into two parts. It is a valuable resource for understanding foundational concepts in these fields.

This book is a great starting point for anyone looking to dive into numerical linear algebra and optimisation. It's structured into two parts, making it easier to follow and understand the key concepts. The first part focuses on numerical linear algebra, covering topics like matrix analysis and methods for solving linear systems. The second part delves into optimisation, providing a thorough overview of the subject. Overall, it's a well-organized resource that helps readers grasp the fundamentals.

Quick quotes

    The book is divided into two parts.

    The first part deals with numerical linear algebra.

    The second part delves into optimisation.

Goodreads · John Smith · 2021-02-15
fantastic 4.75

The book is highly recommended for its rigorous approach and comprehensive coverage of the subject matter. It is considered a valuable addition to any mathematician's library.

John Smith, in their review, commends the book for its rigorous approach to numerical linear algebra and optimisation. They appreciate the depth of coverage and the author's ability to present complex topics in a coherent manner. The reviewer finds the book to be a valuable addition to their library and recommends it to anyone looking to deepen their understanding of the subject. They also note that the book's exercises and problems are particularly useful for reinforcing the concepts discussed. Overall, they find the book to be an excellent resource for both learning and reference.

Quick quotes

    A rigorous and comprehensive guide to numerical linear algebra.

    The exercises and problems are particularly useful.

    An excellent resource for both learning and reference.

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