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 Quaternion QR Algorithm.
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 recursion formula for the moments of the gaussian orthogonal ensemble
We present an analogue of the Harer–Zagier recursion formula for the moments of the gaussian Orthogonal Ensemble in the form of a five term recurrence equation. The proof is based on simple gaussian integration by parts and differential equations on Laplace transforms. A similar recursion formula holds for the gaussian Symplectic Ensemble. As in the complex case, the result is interpreted as a recursion formula for the number of 1-vertex maps in locally orientable surfaces with a given number of...
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 confluent Cauchy and confluent Loewner matrices
A remark on cyclic tridiagonal matrices
A remark on Koszul complexes.
A remark on spaces over a special local ring
This paper deals with A-spaces in the sense of McDonald over linear algebras A of a certain type. Necessary and sufficient conditions for a submodule to be an A-space are derived.