Matrix Computations, 4/e (Hardcover)

The fourth edition of Gene H. Golub and Charles F. Van Loan's classic is an essential reference for computational scientists and engineers in addition to researchers in the numerical linear algebra community. Anyone whose work requires the solution to a matrix problem and an appreciation of its mathematical properties will find this book to be an indispensible tool.

This revision is a cover-to-cover expansion and renovation of the third edition. It now includes an introduction to tensor computations and brand new sections on • fast transforms• parallel LU• discrete Poisson solvers• pseudospectra• structured linear equation problems• structured eigenvalue problems• large-scale SVD methods• polynomial eigenvalue problems

Matrix Computations is packed with challenging problems, insightful derivations, and pointers to the literature―everything needed to become a matrix-savvy developer of numerical methods and software.

《矩陣計算》第四版是Gene H. Golub和Charles F. Van Loan的經典著作，對於計算科學家、工程師以及數值線性代數領域的研究人員來說，這是一本必不可少的參考書。任何需要解決矩陣問題並了解其數學特性的工作人員都會發現這本書是一個不可或缺的工具。

這次修訂是對第三版的全面擴充和改進。現在它包括了對張量計算的介紹，以及全新的章節，包括：
- 快速轉換
- 並行LU分解
- 離散泊松方程求解器
- 偽譜
- 結構化線性方程問題
- 結構化特徵值問題
- 大規模奇異值分解方法
- 多項式特徵值問題

《矩陣計算》充滿了具有挑戰性的問題、深入的推導和對文獻的指引，這些都是成為一個精通矩陣的數值方法和軟體開發者所需的一切。