Numerical Linear Algebra: An Introduction (Cambridge Texts in Applied Mathematics)

Holger Wendland

  • 出版商: Cambridge
  • 出版日期: 2017-11-16
  • 售價: $1,790
  • 貴賓價: 9.8$1,754
  • 語言: 英文
  • 頁數: 418
  • 裝訂: Paperback
  • ISBN: 131660117X
  • ISBN-13: 9781316601174
  • 相關分類: 線性代數 Linear-algebra
  • 立即出貨(限量) (庫存=2)

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商品描述

This self-contained introduction to numerical linear algebra provides a comprehensive, yet concise, overview of the subject. It includes standard material such as direct methods for solving linear systems and least-squares problems, error, stability and conditioning, basic iterative methods and the calculation of eigenvalues. Later chapters cover more advanced material, such as Krylov subspace methods, multigrid methods, domain decomposition methods, multipole expansions, hierarchical matrices and compressed sensing. The book provides rigorous mathematical proofs throughout, and gives algorithms in general-purpose language-independent form. Requiring only a solid knowledge in linear algebra and basic analysis, this book will be useful for applied mathematicians, engineers, computer scientists, and all those interested in efficiently solving linear problems.

商品描述(中文翻譯)

這本自成一體的數值線性代數入門書提供了對該主題的全面而簡潔的概述。它包括解決線性系統和最小二乘問題的直接方法、誤差、穩定性和條件數、基本迭代方法以及特徵值的計算等標準內容。後面的章節涵蓋了更高級的內容,如Krylov子空間方法、多重網格方法、域分解方法、多極展開、階層矩陣和壓縮感知。本書始終提供嚴謹的數學證明,並以通用語言獨立形式給出算法。只需要扎實的線性代數和基本分析知識,這本書將對應用數學家、工程師、計算機科學家以及所有對高效解決線性問題感興趣的人有所幫助。