Restoring Definiteness via Shrinking, with an Application to Correlation Matrices with a Fixed Block
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Publication:2805267
DOI10.1137/140996112zbMath1386.15062OpenAlexW1955055489WikidataQ56998627 ScholiaQ56998627MaRDI QIDQ2805267
Nataša Strabić, Vedran Šego, Nicholas J. Higham
Publication date: 10 May 2016
Published in: SIAM Review (Search for Journal in Brave)
Full work available at URL: http://eprints.maths.manchester.ac.uk/2470/1/hss16.pdf
covariance matrixNewton methodcorrelation matrixpositive semidefinite matrixbisection methodweightingindefinite matrixshrinkingsymmetric definite generalized eigenvalue problemfixed block
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- Computing the nearest correlation matrix--a problem from finance
- Nonlinear shrinkage estimation of large-dimensional covariance matrices
- Finding a positive definite linear combination of two Hermitian matrices
- Computing a nearest symmetric positive semidefinite matrix
- Correlation stress testing for value-at-risk: an unconstrained convex optimization approach
- Analysis of the Cholesky Method with Iterative Refinement for Solving the Symmetric Definite Generalized Eigenproblem
- An augmented Lagrangian dual approach for the H-weighted nearest correlation matrix problem
- Shrinkage Estimators for Covariance Matrices
- A Quadratically Convergent Newton Method for Computing the Nearest Correlation Matrix
- An Improved Arc Algorithm for Detecting Definite Hermitian Pairs
- Robust estimation and outlier detection with correlation coefficients
- Accuracy and Stability of Numerical Algorithms
- A preconditioned Newton algorithm for the nearest correlation matrix
- Condition-Number-Regularized Covariance Estimation