The Coordinex Problem and Its Relation to the Conjecture of Wilkinson.
The k-Fibonacci matrix and the Pascal matrix
We define the k-Fibonacci matrix as an extension of the classical Fibonacci matrix and relationed with the k-Fibonacci numbers. Then we give two factorizations of the Pascal matrix involving the k-Fibonacci matrix and two new matrices, L and R. As a consequence we find some combinatorial formulas involving the k-Fibonacci numbers.
The Rate of Convergence of an Approximate Matrix Factorization Semi-Direct Method.
The reciprocal super Catalan matrix
The reciprocal super Catalan matrix has entries [...] . Explicit formulæ for its LU-decomposition, the LU-decomposition of its inverse, and some related matrices are obtained. For all results, q-analogues are also presented.
To solving multiparameter problems of algebra. 7. The method of - factorization and its applications.
Two-sided approximations of inverses, square roots and Cholesky factors