{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Lecture Notes 24

# Lecture Notes 24 - Lecture24 q Lecture 24 The End Outline 1...

This preview shows pages 1–2. Sign up to view the full content.

Lecture24 q Outline: 1) Course Review: putting it all together 2) The Future: two great directions A) Linear PDE's: from the discrete to the continuous (finite dimensional to infinite dimensional vector spaces) B) Scientific Computation & Numerical methods: from the continuous to the discrete Lecture 24: The End... Course Overview: the big picture: short form subject: Equations: Algorithms: Factorizations: Theory: Applications: Linear Systems Eigen Problems Least Squares Ax =b Ax = λ x A T Ax =A T b Elimination (Gauss,GJordan) Gram-Schmidt factor P( λ )=|A- λ I| Find N(A- λ i I) PA=LU PA=LDL T A=CC T A = QR AS = S Λ A = S Λ S -1 A = Q Λ Q T A = U Σ V T Invertibility and A -1 Vector Spaces/Subspaces 4 Subspaces of A General solutions to Ax =b Orthogonality Projections Projection Matrices Q Matrices Eigenvalues/Eigenvec The Determinant Diagonalization Symmetric Matrices The SVD Solving Linear systems e.g. Spring Block Least Squares fitting of functions Finding Projections Matrix Powers A n Iterative Maps: e.g. Fibonacci

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 4

Lecture Notes 24 - Lecture24 q Lecture 24 The End Outline 1...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online