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Applied numerical linear algebra

Applied numerical linear algebra (8회 대출)

자료유형
단행본
개인저자
Demmel, James W.
서명 / 저자사항
Applied numerical linear algebra / James W. Demmel.
발행사항
Philadelphia :   Society for Industrial and Applied Mathematics ,   c1997.  
형태사항
xii, 419 p. : ill. (some col.) ; 26 cm.
ISBN
0898713897 (pbk.) 9780898713893
서지주기
Includes bibliographical references (p. 389-408) and index.
일반주제명
Algebras, Linear. Numerical calculations.
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008 970507s1997 paua b 001 0 eng
010 ▼a 97017290
020 ▼a 0898713897 (pbk.)
020 ▼a 9780898713893
035 ▼a (KERIS)REF000012720979
040 ▼a DLC ▼c DLC ▼d DLC ▼d 211009
050 0 0 ▼a QA184 ▼b .D455 1997
082 0 0 ▼a 512/.5 ▼2 22
090 ▼a 512.5 ▼b D382a
100 1 ▼a Demmel, James W.
245 1 0 ▼a Applied numerical linear algebra / ▼c James W. Demmel.
260 ▼a Philadelphia : ▼b Society for Industrial and Applied Mathematics , ▼c c1997.
300 ▼a xii, 419 p. : ▼b ill. (some col.) ; ▼c 26 cm.
504 ▼a Includes bibliographical references (p. 389-408) and index.
650 0 ▼a Algebras, Linear.
650 0 ▼a Numerical calculations.
945 ▼a KINS

소장정보

No. 소장처 청구기호 등록번호 도서상태 반납예정일 예약 서비스
No. 1 소장처 과학도서관/Sci-Info(2층서고)/ 청구기호 512.5 D382a 등록번호 121165636 도서상태 대출가능 반납예정일 예약 서비스 B M

컨텐츠정보

목차

  • Preface
  • Chapter 1: Introduction. Basic Notation
  • Standard Problems of Numerical Linear Algebra
  • General Techniques
  • Example: Polynomial Evaluation
  • Floating Point Arithmetic
  • Polynomial Evaluation Revisited
  • Vector and Matrix Norms
  • References and Other Topics for Chapter 1
  • Questions for Chapter 1
  • Chapter 2: Linear Equation Solving. Introduction
  • Perturbation Theory
  • Gaussian Elimination
  • Error Analysis
  • Improving the Accuracy of a Solution
  • Blocking Algorithms for Higher Performance
  • Special Linear Systems
  • References and Other Topics for Chapter 2
  • Questions for Chapter 2
  • Chapter 3: Linear Least Squares Problems. Introduction
  • Matrix Factorizations That Solve the Linear Least Squares Problem
  • Perturbation Theory for the Least Squares Problem
  • Orthogonal Matrices
  • Rank Deficient Least Squares Problems
  • Performance Comparison of Methods for Solving Least Squares Problems
  • Reference and Other Topics for Chapter 3
  • Questions for Chapter 3
  • Chapter 4: Nonsymmetric Eigenvalue Problems. Introduction
  • Canonical Forms
  • Perturbation Theory
  • Algorithms for the Nonsymmetric Eigenproblem
  • Other Nonsymmetric Eigenvalue Problems
  • Summary
  • References and Other Topics for Chapter 4
  • Questions for Chapter 4
  • Chapter 5: The Symmetric Eigenproblem and Singular Value Decomposition. Introduction
  • Perturbation Theory
  • Algorithms for the Symmetric Eigenproblem
  • Algorithms for the Singular Value Decomposition
  • Differential Equations and Eigenvalue Problems
  • References and Other Topics for Chapter 5
  • Questions for Chapter 5
  • Chapter 6: Iterative Methods for Linear Systems. Introduction
  • On-line Help for Iterative Methods
  • Poisson's Equation
  • Summary of Methods for Solving Poisson's Equation
  • Basic Iterative Methods
  • Krylov Subspace Methods
  • Fast Fourier Transform
  • Block Cyclic Reduction
  • Multigrid
  • Domain Decomposition
  • References and Other Topics for Chapter 6
  • Questions for Chapter 6
  • Chapter 7: Iterative Methods for Eigenvalue Problems. Introduction. The Rayleigh-Ritz Method
  • The Lanczos Algorithm in Exact Arithmetic
  • The Lanczos Algorithm in Floating Point Arithmetic
  • The Lanczos Algorithm with Selective Orthogonalization
  • Beyond Selective Orthogonalization
  • Iterative Algorithms for the Nonsymmetric Eigenproblem
  • References and Other Topics for Chapter 7
  • Questions for Chapter 7
  • Bibliography
  • Index.

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