Optimization Models
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1. Introduction
1.1. Overview
1.2. Optimization Models
2. Linear Algebra
2.1. Vectors
2.2. Matrices
2.3. Linear Equations
2.4.  Least-Squares
2.5. Symmetric Matrices
2.6  Singular Values
3. Convex Models
3.1. Convexity
3.2. LP and QP
3.3. SOCP
3.4. Robust LP
3.5. GP
3.6. SDP
4. Duality
4.1. Weak Duality
4.2. Strong Duality
5. Case Studies
5.1. Senate Voting
5.2. Antenna Arrays
5.3. Localization
5.4. Circuit Design

Applications of SVD

SVD > SVD theorem | Matrix properties via SVD | Solving linear equations via SVD | LS and SVD | Low-rank approximations | Applications
  • Image compression.

  • Market data analysis.

  • Latent Semantic Indexing (LSI) for web document search (see also here).

  • Political spectrum analysis.

  • 3D image deformation using moving least-squares.

  • SVD and PCA for gene expression data.

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