On Best Approximations of Polynomials in Matrices in the Matrix 2-Norm.
Jörg LiesenPetr TichýPublished in: SIAM J. Matrix Anal. Appl. (2009)
Keyphrases
- singular value decomposition
- frobenius norm
- low rank approximation
- low rank matrices
- coefficient matrix
- low rank
- singular values
- matrix representation
- square matrices
- projection matrices
- trace norm
- positive definite
- perturbation theory
- linear algebra
- low order
- low rank matrix
- kullback leibler divergence
- rows and columns
- eigenvalues and eigenvectors
- matrix approximation
- data matrix
- projection matrix
- matrix completion
- block diagonal
- matrix multiplication
- positive semidefinite
- symmetric positive definite
- linear complementarity problem
- pseudo inverse
- symmetric matrices
- reconstruction error
- measurement matrix
- low rank matrix approximation
- systems of linear equations
- low rank and sparse
- sparse matrix
- linear combination
- approximation methods
- distance matrix
- sparse matrices
- kernel matrix
- correlation matrix
- regularized least squares
- covariance matrices
- matrix factorization
- convex optimization
- objective function
- pairwise
- totally unimodular
- covariance matrix
- closed form
- negative matrix factorization
- linear systems
- error metrics
- affinity matrix