An Elementary Proof That Every Singular Matrix Is a Product of Idempotent Matrices.
João AraújoJames D. MitchellPublished in: Am. Math. Mon. (2005)
Keyphrases
- coefficient matrix
- singular value decomposition
- positive definite
- singular values
- square matrices
- matrix representation
- perturbation theory
- eigenvalues and eigenvectors
- projection matrices
- linear algebra
- positive semidefinite
- block diagonal
- sparse matrix
- data matrix
- linear complementarity problem
- projection matrix
- low rank and sparse
- rows and columns
- symmetric positive definite
- distance matrix
- systems of linear equations
- correlation matrix
- pseudo inverse
- semidefinite programming
- low rank
- matrix multiplication
- covariance matrix
- symmetric matrices
- covariance matrices
- low rank matrix approximation
- measurement matrix
- convex optimization
- factor matrices
- life cycle
- geometrical interpretation
- totally unimodular
- binary matrices
- morphological operators
- low rank matrix
- nonnegative matrix factorization
- matrix completion
- product design
- linear logic
- low rank approximation
- sparse matrices
- product development
- pairwise