A product integral representation of the generalized inverse
A property of eigenvectors of nonnegative symmetric matrices and its application to graph theory
A propos de l’algorithme
À propos de l'inversion des matrices généralisées de Jacobi.
A proposito di alcune disequazioni lineari
A proximal ANLS algorithm for nonnegative tensor factorization with a periodic enhanced line search
The Alternating Nonnegative Least Squares (ANLS) method is commonly used for solving nonnegative tensor factorization problems. In this paper, we focus on algorithmic improvement of this method. We present a Proximal ANLS (PANLS) algorithm to enforce convergence. To speed up the PANLS method, we propose to combine it with a periodic enhanced line search strategy. The resulting algorithm, PANLS/PELS, converges to a critical point of the nonnegative tensor factorization problem under mild conditions....
A quadratically convergent Bernoulli-like algorithm for solving matrix polynomial equations in Markov chains.
A quantitative extension of the Perron-Frobenius theorem for doubly stochastic matrices
A rational canonical form algorithm
We present an easy-to-implement algorithm for transforming a matrix to rational canonical form.
A rational canonical form for matrix fields
A recursion formula for expected negative and positive powers of the central Wishart distribution.
We use Haff's fundamental identity to express the expectation of Sp in lower-order terms, where S follows the central Wishart distribution.
A refined unsymmetric Lanczos eigensolver for computing accurate eigentriplets of a real unsymmetric matrix.
A refinement of an inequality of Johnson, Loewy and London on nonnegative matrices and some applications.
A relation between the multiplicity of the second eigenvalue of a graph Laplacian, Courant's nodal line theorem and the substantial dimension of tight polyhedral surfaces.
A relationship between a Hankel matrix of Markov parameters and the associated matrix polynomial with some applications
A Relative Backward Perturbation Theorem for the Eigenvalue Problem.
A relative Laplacian spectral recursion.
A remark on common solutions of a pair of matrix equations.
A remark on cyclic tridiagonal matrices
A remark on Koszul complexes.