» Numerical Linear Algebra

Numerical Linear Algebra Reviews

Customer Rating:
Summary: Good reference
Comment: I have been using this textbook for my Numerical Linear Algebra class, and it have been a great help, actually is a good complement to Numerical Linear Algebra by Lloyd N. Trefethen and David Bau III. I totally recommend it.

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Customer Rating:
Summary: Great Book for Self-Learning
Comment: I am a second year PhD student in Operations Research and for long I had been looking for a book in linear algebra to help me learn it myself (as I see that I need it no matter what research I want to do. It's just a good tool to know). One of my friends recommended this book to me, I got it and I am very happy with it. The book is great in different ways:
-it is in the form of short lectures and for me who wants to learn linear algebra step by step, this is a perfect approach. You will have a 5-6 page lecture so whenever you start, you are set to finish that lecture.
-It gives you intuition and understanding about what is really happenning geometrically which is amazing. To me, it is very important to have the "feeling" of what is happening because it is only then that you can think about bringing your real problem in this framework.
-The examples in lectures clarify the subject while exercises give you a chance to learn even more.
If you are new to linear algebra or know it but want to refresh your mind on intuitions and systematic thinking, I highly recommend this book.

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Customer Rating:
Summary: Must be strong in Linear Algebra to use this!
Comment: The reader msut have a strong grasp on linear algebra before using this book. Many algorithms are written in pseudo-code which is nice, but sometimes important details lack. I used this book as a required text in a graduate level course.

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Customer Rating:
Summary: Fantastic book, with great insight
Comment: I can't speak to the entire book, as I've only made significant use of the section of matrix solvers. Having said that, his explanation of Krylov methods was the most clear and well organized I've ever seen. His book is the first I've seen that so nicely ties together all such methods. It's true that his book is probably not going to be enough if you are planning to focus on this as your research topic. But for those of us who simply need to apply the field to their research, it is the best book I've found, and he goes out of his way to be helpful to the practitioner, a rare thing in a math book. (For example, he has a wonderful flowchart in Chapter 6 providing a rough guideline for selecting a linear system solver based on the properties of one's problem.)

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Customer Rating:
Summary: great math text
Comment: I used this book at NYU in a graduate class on numerical linear algebra and it was great. The book is incredibly clear, starts from the basics and just goes from there. You won't be lost or feel like it has too little (and I usually have one of those two feelings about a math textbook).

The book is focused around matrix decompositions and does quite a bit of theoretical matrix algebra before it gets into accurate computation of decompositions, what this means and how various algorithms achieve it.

The theorems are clear and the proofs concise and easy to read.

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