Preface to Numerical and Symbolic Computation: Developments and Applications—2021

Interfacing Symbolic Computation and Numerical Calcu- lation

The fate of a new theory is to a large extent determined by the time intervening its development and the availability of a set of tools that supports practical applications. This last step is crucial if the methods developed are to become widely accepted and used. During the last two decades, considerable progress has been made in small-sample asymptotics leading to a well-established theory on...

Exact Numerical Computation via Symbolic Computation

Symbolic computation of the Duggal transform

Following the results of cite{Med}, regarding the Aluthge transform of polynomial matrices, the symbolic computation of the Duggal transform of a polynomial matrix $A$ is developed in this paper, using the polar decomposition and the singular value decomposition of $A$. Thereat, the polynomial singular value decomposition method is utilized, which is an iterative algorithm with numerical charac...

a new algorithm and software of individual life insurance and annuity computation

چکیده ندارد.

Merging Sub-symbolic and Symbolic Computation

In a recent short paper and a report (see [Neto et al. 98] and [Neto and Costa 99]) it was shown that programming languages can be translated efficiently on recurrent (analog, rational weighted) neural nets, using bounded resources. This fact was achieved by creating a neural programming language called NETDEF, such that each program corresponds to a modular neural net that computes it. This fr...