2005-04-03
Efficient Rank Reduction of Correlation Matrices
Publication
Publication
Efficient Rank Reduction of Correlation Matrices
ERIM report series research in management Erasmus Research Institute of Management
Geometric optimisation algorithms are developed that efficiently find the nearest low-rank correlation matrix. We show, in numerical tests, that our methods compare favourably to the existing methods in the literature. The connection with the Lagrange multiplier method is established, along with an identification of whether a local minimum is a global minimum. An additional benefit of the geometric approach is that any weighted norm can be applied. The problem of finding the nearest low-rank correlation matrix occurs as part of the calibration of multi-factor interest rate market models to correlation.
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hdl.handle.net/1765/1933 | |
ERIM Report Series Research in Management | |
ERIM report series research in management Erasmus Research Institute of Management | |
Organisation | Erasmus Research Institute of Management |
Grubisic, I., & Pietersz, R. (2005). Efficient Rank Reduction of Correlation Matrices (No. ERS-2005-009-F&A). ERIM report series research in management Erasmus Research Institute of Management. Retrieved from http://hdl.handle.net/1765/1933 |