Golub, Stanford University. I have used Numerical Linear Algebra in my introductory graduate course and I have found it to be almost the perfect text to introduce mathematics graduate students to the subject. Exercises at the end of each chapter reinforce the concepts, and in some cases introduce new ones. The emphasis is on the mathematics behind the algorithms, in the understanding of why the algorithms work. B. Szyld, Department of Mathematics, Temple University.
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Numerical Linear Algebra is a concise, insightful, and elegant introduction to the field of numerical linear algebra. The authors' clear, inviting style and evident love of the field, along with their eloquent presentation of the most fundamental ideas in numerical linear algebra, make it popular with teachers and students alike. Numerical Linear Algebra aims to expand the reader's view of the field and to present the core, standard material in a novel way. It is a perfect companion volume to the encyclopedic treatment of the topic that already exists in Golub and Van Loan's now-classic Matrix Computations. All of the most important topics in the field, including iterative methods for systems of equations and eigenvalue problems and the underlying principles of conditioning and stability, are covered.