Direct Methods for Solving Linear Systems [0.125in]3 ...

Direct Methods for Solving Linear Systems

Matrix Factorization

Numerical Analysis (9th Edition) R L Burden & J D Faires

Beamer Presentation Slides prepared by John Carroll

Dublin City University

c 2011 Brooks/Cole, Cengage Learning

Rationale

Outline

Constructing LU

Example

Algorithm

Permutation Matrices

1 Computation Cost Rationale & Basic Solution Strategy

Numerical Analysis (Chapter 6)

Matrix Factorization

R L Burden & J D Faires 2 / 46

Rationale

Outline

Constructing LU

Example

Algorithm

Permutation Matrices

1 Computation Cost Rationale & Basic Solution Strategy 2 Constructing the Matrix Factorization

Numerical Analysis (Chapter 6)

Matrix Factorization

R L Burden & J D Faires 2 / 46

Rationale

Outline

Constructing LU

Example

Algorithm

Permutation Matrices

1 Computation Cost Rationale & Basic Solution Strategy 2 Constructing the Matrix Factorization 3 Example: LU Factorization of a 4 ? 4 Matrix

Numerical Analysis (Chapter 6)

Matrix Factorization

R L Burden & J D Faires 2 / 46

Rationale

Outline

Constructing LU

Example

Algorithm

Permutation Matrices

1 Computation Cost Rationale & Basic Solution Strategy 2 Constructing the Matrix Factorization 3 Example: LU Factorization of a 4 ? 4 Matrix 4 The LU Factorization Algorithm

Numerical Analysis (Chapter 6)

Matrix Factorization

R L Burden & J D Faires 2 / 46

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