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 is encyclopedic. This is a great book to demonstrate the finer points of the art and to provide a bird's eye view of the subject. If you can't articulate differences in speed and accuracy between the LU decomposition, the QR decomposition, bidiagonalization, Householder reflections and Givens rotations, and the venerable singular value decomposition then this book is for you.

My first copy has been worn out. This review was triggered when a replacement copy was ordered.

Classic of the genre. Details all important numerical techniques of linear algebra. Rigorous enough for an academic yet practical enough for those working in the industry. Includes pseudocode snippets that can be easily translated into any modern language (although why would you? This has been implemented in MATLAB, Octave and R a long time ago...) Highly and unconditionally recommended.

I must say this text has probably all the content an engineering graduate student like myself might need. Texts on this topic tend to omit details which have to be found using other sources. This one is the most inclusive I have come across. Ofcourse it cannot detail everything but it is an excellent starting point for almost anything in the field of linear algebra.

I used this book to teach me some of the finer points of matrix operations, and continue to reference it. In fact, in my field (geophysics), this book is the standard reference for matrix operations in journal publications. I have not found anything better, nor anything that even comes close.

Good manual for numerical analysis but I wish it had more of a breakdown of the steps or examples which demonstrate the building blocks to get to the model used.

This was delivered on time and has been very useful. It is a classic.

Delivery – great

The book was wonderful as I expected, and I really enjoyed it.

I got what I wanted, and I got everything I needed.

What more do you need?

I recommended it to my friends.

This is the book if you need to understand matrix algorithms. Also while learning those algorithms, you get a great insight on eigenproblems, and linear algebra. One of my all time favorite academic books.

Excellent book covering extensively its topic. It covers extensively:

- an excellent description of the linear algebra theory with all key theorem, their intuitive interpretation and short but complete demonstration

- the algorithmic aspects of matrix computations each proposed algorithm being evaluated with regard to computational complexity, numerical stability and parallel processing

- reference to the functions implementing the described algorithms within LAPACK (the standard library for advanced matrix computations in Fortran and C)

A must have for anybody often using linear algebra on computer systems.

Gene Golub und Charles van Loan zählen weltweit zu den renommiertesten

Experten auf dem in diesem Buch behandelten Gebiet. Es ist das wohl

umfassendste Referenz-Werk zum Thema Matrizen-Algorithmen. Nicht

etwa ein Lehrbuch der Linearen Algebra, sondern ein numerisch orientiertes

Werk, behandelt es sowohl die theoretischen Hintergründe - meist mit

eleganten kurzen Beweisen - der diskutierten Algorithmen als auch

praktische Aspekte wie Rundungsfehler und Kondition. Für ernsthaft auf dem

Gebiet der numerischen linearen Algebra Arbeitende ist der Golub/van Loan

eine unverzichtbare Informationsquelle, die ältere Klassiker wie

Gantmacher und Faddejew/Faddejewa durch die Fülle neuerer Resultate,

Algorithmen und Literaturhinweise ganz wesentlich ergänzt.

My course was suffering before I bought this book. I found it contains every algorithm, and why we use it,but also how we store the data. A great author,a great book

行列の(数値)計算について書かれた良書である．これから大掛かりな行列計算プログラムを作成しようとする人は，参考書(基本)として薦める．