Retaining positive definiteness in thresholded matrices

DOI10.1016/j.laa.2012.01.013zbMath1237.15028arXiv1108.3325OpenAlexW2964311145MaRDI QIDQ414695

Dominique Guillot, Bala Rajaratnam

Publication date: 11 May 2012

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.3325

zbMATH Keywords

positive definite matricesgraphstreesthresholdingchordal graphsdiagonally dominant matrices

Mathematics Subject Classification ID

Positive matrices and their generalizations; cones of matrices (15B48)

Related Items (12)

Matrix positivity preservers in fixed dimension. I ⋮ Critical exponents of graphs ⋮ Sparse matrix decompositions and graph characterizations ⋮ A panorama of positivity. II: Fixed dimension ⋮ Complete characterization of Hadamard powers preserving Loewner positivity, monotonicity, and convexity ⋮ The critical exponent: a novel graph invariant ⋮ Matrix positivity preservers in fixed dimension ⋮ Simultaneous kernels of matrix Hadamard powers ⋮ Preserving positivity for matrices with sparsity constraints ⋮ Functions preserving positive definiteness for sparse matrices ⋮ High-dimensional correlation matrix estimation for general continuous data with Bagging technique ⋮ Preserving positivity for rank-constrained matrices

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Covariance regularization by thresholding
• Flexible covariance estimation in graphical Gaussian models
• Algorithmic graph theory and perfect graphs
• Wishart distributions for decomposable covariance graph models
• Large-Scale Correlation Screening
• A General Framework for Weighted Gene Co-Expression Network Analysis

This page was built for publication: Retaining positive definiteness in thresholded matrices