HOME > 상세정보

상세정보

Matrix analysis and applied linear algebra

Matrix analysis and applied linear algebra (21회 대출)

자료유형
단행본
개인저자
Meyer, C. D. (Carl Dean)
서명 / 저자사항
Matrix analysis and applied linear algebra / Carl Meyer.
발행사항
Philadelphia :   Society for Industrial and Applied Mathematics,   c2000.  
형태사항
xii, 718 p. : ill. ; 25 cm.+ 1 computer optical disc (4 3/4 in.).
ISBN
0898714540 9780898714548
내용주기
1. Linear equations -- 2. Rectangular systems and echelon forms -- 3. Matrix algebra -- 4. Vector spaces -- 5. Norms, inner products, and orthogonality -- 6. Determinants -- 7. Eigenvalues and eigenvectors -- 8. Perron-Frobenius theory.
서지주기
Includes bibliographical references and index.
일반주제명
Algebras, Linear. Matrices.
000 01183camuu2200277 a 4500
001 000000784405
005 20141021110625
008 000314s2000 paua b 001 0 eng
010 ▼a 00029725
020 ▼a 0898714540
020 ▼a 9780898714548
040 ▼a DLC ▼c DLC ▼d NOR ▼d 211009 ▼d 244002
042 ▼a pcc
050 0 0 ▼a QA188 ▼b .M495 2000
082 0 0 ▼a 512/.5 ▼2 23
084 ▼a 512.5 ▼2 DDCK
090 ▼a 512.5 ▼b M612m
100 1 ▼a Meyer, C. D. ▼q (Carl Dean)
245 1 0 ▼a Matrix analysis and applied linear algebra / ▼c Carl Meyer.
260 ▼a Philadelphia : ▼b Society for Industrial and Applied Mathematics, ▼c c2000.
300 ▼a xii, 718 p. : ▼b ill. ; ▼c 25 cm.+ ▼e 1 computer optical disc (4 3/4 in.).
504 ▼a Includes bibliographical references and index.
505 0 0 ▼g 1. ▼t Linear equations -- ▼g 2. ▼t Rectangular systems and echelon forms -- ▼g 3. ▼t Matrix algebra -- ▼g 4. ▼t Vector spaces -- ▼g 5. ▼t Norms, inner products, and orthogonality -- ▼g 6. ▼t Determinants -- ▼g 7. ▼t Eigenvalues and eigenvectors -- ▼g 8. ▼t Perron-Frobenius theory.
650 0 ▼a Algebras, Linear.
650 0 ▼a Matrices.

No. 소장처 청구기호 등록번호 도서상태 반납예정일 예약 서비스
No. 1 소장처 중앙도서관/서고7층/ 청구기호 512.5 M612m 등록번호 111225366 도서상태 대출가능 반납예정일 예약 서비스 B M
No. 2 소장처 세종학술정보원/과학기술실/ 청구기호 512.5 M612m 등록번호 151322774 도서상태 대출가능 반납예정일 예약 서비스 B M
No. 소장처 청구기호 등록번호 도서상태 반납예정일 예약 서비스
No. 1 소장처 중앙도서관/서고7층/ 청구기호 512.5 M612m 등록번호 111225366 도서상태 대출가능 반납예정일 예약 서비스 B M
No. 소장처 청구기호 등록번호 도서상태 반납예정일 예약 서비스
No. 1 소장처 세종학술정보원/과학기술실/ 청구기호 512.5 M612m 등록번호 151322774 도서상태 대출가능 반납예정일 예약 서비스 B M

컨텐츠정보

목차

  • Preface
  • Chapter 1: Linear Equations. Introduction
  • Gaussian Elimination and Matrices
  • Gauss?Jordan Method
  • Two-Point Boundary Value Problems
  • Making Gaussian Elimination Work
  • Ill-Conditioned Systems
  • Chapter 2: Rectangular Systems and Echelon Forms. Row Echelon Form and Rank
  • The Reduced Row Echelon Form
  • Consistency of Linear Systems
  • Homogeneous Systems
  • Nonhomogeneous Systems
  • Electrical Circuits
  • Chapter 3: Matrix Algebra. From Ancient China to Arthur Cayley
  • Addition, Scalar Multiplication, and Transposition
  • Linearity
  • Why Do It This Way?
  • Matrix Multiplication
  • Properties of Matrix Multiplication
  • Matrix Inversion
  • Inverses of Sums and Sensitivity
  • Elementary Matrices and Equivalence
  • The LU Factorization
  • Chapter 4: Vector Spaces. Spaces and Subspaces
  • Four Fundamental Subspaces
  • Linear Independence
  • Basis and Dimension
  • More About Rank
  • Classical Least Squares
  • Linear Transformations
  • Change of Basis and Similarity
  • Invariant Subspaces
  • Chapter 5: Norms, Inner Products, and Orthogonality. Vector Norms
  • Matrix Norms
  • Inner Product Spaces
  • Orthogonal Vectors
  • Gram?Schmidt Procedure
  • Unitary and Orthogonal Matrices
  • Orthogonal Reduction
  • The Discrete Fourier Transform
  • Complementary Subspaces
  • Range-Nullspace Decomposition
  • Orthogonal Decomposition
  • Singular Value Decomposition
  • Orthogonal Projection
  • Why Least Squares?
  • Angles Between Subspaces
  • Chapter 6: Determinants. Determinants
  • Additional Properties of Determinants
  • Chapter 7: Eigenvalues and Eigenvectors. Elementary Properties of Eigensystems
  • Diagonalization by Similarity Transformations
  • Functions of Diagonalizable Matrices
  • Systems of Differential Equations
  • Normal Matrices
  • Positive Definite Matrices
  • Nilpotent Matrices and Jordan Structure
  • The Jordan Form
  • Functions of Nondiagonalizable Matrices
  • Difference Equations, Limits, and Summability
  • Minimum Polynomials and Krylov Methods
  • Chapter 8: Perron-Frobenius Theory of Nonnegative Matrices. Introduction
  • Positive Matrices
  • Nonnegative Matrices
  • Stochastic Matrices and Markov Chains
  • Index.

정보제공 : Aladin

관련분야 신착자료