Add to ORKGThis research introduces three operators, the bisection surface determinant, the rational surface determinant and the real surface determinant, for arbitrary functions defined on a closed rectangle S. Each determinant is the limit of a sequence of determinants of matrices corresponding to values of the considered function in a recursively generated grid of S. Some properties are found and an algorithm is provided. This research is still at an initial stage, although applications to functional analysis are expected and, therefore, to functions representing phenomena in Economics and Finance
AbstractDeterminants declined in prestige from the mid-nineteenth century onwards and are now best k...
We give a combinatorial interpretation of the determinant of a matrix as a generating funct...
Example of finding the determinant of a 3x3 matrix by hand, together with explanation of the general...
Functional determinants of differential operators play a prominent role in many fields of theoretica...
Abstract. A determinant of rectangular 2 × n matrix is considered. Some of its properties in connect...
AbstractWe identify the column vectors of an n×k matrix (k⩽n) with a k-tuple of vectors in the n dim...
The formalism which has been developed to give general expressions for the determinants of different...
We present a simple and accessible method which uses contour integration methods to derive formulae ...
AbstractFor several partial sharp functions # on the reals, we characterize in terms of determinacy,...
The calculation of a square matrix determinant is a typical matrix algebra operation which, if appli...
AbstractUsing a recurrence derived from Dodgson's Condensation Method, we provide numerous explicit ...
Let be a sequence of real numbers defined by an th order linear homogenous recurrence relation. In...
A theorem is shown in which the elements of the inverse of a symmetric matrix F are constructed by J...
A formula for the determinant of a matrix in terms of powers of traces is presented. Then, some expa...
We consider an operator associated to compact Riemann surfaces endowed with a conformal map, f, from...
AbstractDeterminants declined in prestige from the mid-nineteenth century onwards and are now best k...
We give a combinatorial interpretation of the determinant of a matrix as a generating funct...
Example of finding the determinant of a 3x3 matrix by hand, together with explanation of the general...
Functional determinants of differential operators play a prominent role in many fields of theoretica...
Abstract. A determinant of rectangular 2 × n matrix is considered. Some of its properties in connect...
AbstractWe identify the column vectors of an n×k matrix (k⩽n) with a k-tuple of vectors in the n dim...
The formalism which has been developed to give general expressions for the determinants of different...
We present a simple and accessible method which uses contour integration methods to derive formulae ...
AbstractFor several partial sharp functions # on the reals, we characterize in terms of determinacy,...
The calculation of a square matrix determinant is a typical matrix algebra operation which, if appli...
AbstractUsing a recurrence derived from Dodgson's Condensation Method, we provide numerous explicit ...
Let be a sequence of real numbers defined by an th order linear homogenous recurrence relation. In...
A theorem is shown in which the elements of the inverse of a symmetric matrix F are constructed by J...
A formula for the determinant of a matrix in terms of powers of traces is presented. Then, some expa...
We consider an operator associated to compact Riemann surfaces endowed with a conformal map, f, from...
AbstractDeterminants declined in prestige from the mid-nineteenth century onwards and are now best k...
We give a combinatorial interpretation of the determinant of a matrix as a generating funct...
Example of finding the determinant of a 3x3 matrix by hand, together with explanation of the general...
