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In this paper, two new analogues of the Hilbert matrix with four-parameters have been introduced. Explicit formulæ are derived for the LU-decompositions and their inverses, and the inverse matrices of these analogue matrices.

In this paper, two new analogues of the Hilbert matrix with four-parameters have been introduced. Explicit formulæ are derived for the LU-decompositions and their inverses, and the inverse matrices of these analogue matrices.

In this thesis, we study the innite Hilbert matrix viewed as an operator, called the Hilbert matrix operator and denoted by H and Libera operator, denoted by L, on the classical spaces of holomorphic functions on the unit disk in the complex plane..., U ovoj tezi proučavano je dejstvo beskonačne Hilbertove matrice...

The approximation of an analytic time function in the least squares sense by sums of exponentials is considered from several different points of view. In particular, the author considers the determination of the 2n complex parameters (alpha sub K, S sub K) of the function f sub a(t) = the summation from K=1 to n of (alpha (sub K) exp (s(sub K)t) so that for a given n and f(t), the value of the functional the integral from 0 to infinity of (f(t)-f sub a (t) ) squared dt is minimized., See also Part 25, AD661211.