Numerical Linear Algebra with Applications: Using MATLAB (Hardcover)

Designed for those who want to gain a practical knowledge of modern computational techniques for the numerical solution of linear algebra problems, Numerical Linear Algebra with Applications contains all the material necessary for a first year graduate or advanced undergraduate course on numerical linear algebra with numerous applications to engineering and science.

With a unified presentation of computation, basic algorithm analysis, and numerical methods to compute solutions, this book is ideal for solving real-world problems. It provides necessary mathematical background information for those who want to learn to solve linear algebra problems, and offers a thorough explanation of the issues and methods for practical computing, using MATLAB as the vehicle for computation. The proofs of required results are provided without leaving out critical details. The Preface suggests ways in which the book can be used with or without an intensive study of proofs.

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• Six introductory chapters that thoroughly provide the required background for those who have not taken a course in applied or theoretical linear algebra
• Detailed explanations and examples
• A through discussion of the algorithms necessary for the accurate computation of the solution to the most frequently occurring problems in numerical linear algebra
• Examples from engineering and science applications

《數值線性代數與應用》是為那些希望獲得現代計算技術的實際知識，以解決線性代數問題的人而設計的。本書包含了一年級研究生或高年級本科生數值線性代數課程所需的所有材料，並且涵蓋了許多工程和科學應用。

本書統一介紹了計算、基本算法分析和數值方法，非常適合解決實際問題。對於那些想學習解決線性代數問題的人來說，它提供了必要的數學背景信息，並詳細解釋了實際計算的問題和方法，使用MATLAB作為計算工具。必要結果的證明提供了關鍵細節。前言中提到了如何在有或無證明深入研究的情況下使用本書的方法。

本書包括以下內容：
- 六個入門章節，詳細介紹應用或理論線性代數課程所需的背景知識
- 詳細的解釋和示例
- 對於數值線性代數中最常見問題的準確計算所需的算法的詳細討論
- 工程和科學應用的例子