Nearest Correlation Matrix Algorithm.pdf

thesis.pdf
Preview of Nearest Correlation Matrix Algorithm
🔗 Source: eprints.maths.manchester.ac.uk
📊 Size: 807 KB
📄 Pages: 152 pages
⬇️ Downloads: 160

Summary

Rudiger Borsdorf's 2007 Master of Science dissertation presents a Newton algorithm for finding the nearest correlation matrix, a problem that arises in various fields, including finance and engineering. The dissertation explores the theoretical background, including the dual problem and the application of an inexact Newton method. It then introduces the Newton algorithm and discusses its convergence analysis, issues, and choices of methods, such as conjugate gradient and symmetric LQ, for solving the problem. The dissertation also presents numerical tests, including comparisons with other methods, and discusses the modified algorithm and the alternating projections method. The goal is to find the nearest correlation matrix to a given matrix, which is a convex optimization problem. The algorithm is designed to efficiently solve this problem, and the dissertation provides a detailed analysis of its performance and robustness.

Description

Rudiger Borsdorf's 2007 Master of Science dissertation presents a Newton algorithm for finding the nearest correlation matrix, a problem that arises in various...

Technical Information

  • File Format: PDF
  • File Size: 807 KB
  • Pages: 152
  • Language: EN
  • Total Downloads: 160
  • Last Updated: 4 weeks ago

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