Rafał Łentek’s scientific contributions


Ad

What is this page?


This page lists works of an author who doesn't have a ResearchGate profile or hasn't added the works to their profile yet. It is automatically generated from public (personal) data to further our legitimate goal of comprehensive and accurate scientific recordkeeping. If you are this author and want this page removed, please let us know.

Publications (1)


Figure 1. Data flow diagram of the rationalized algorithm for (2 × 2)-bisymmetric matrix-vector multiplication in according to (3.2)
Table 2 . North-east quadrant of the table for Kaluza numbers imaginary units multiplication
Figure 3. The data flow diagram describing the process of calculating elements of the vector C 32×1
Table 4 . South-east quadrant of the table for Kaluza numbers imaginary units multiplication
An algorithm for multipication of Kaluza numbers
  • Article
  • Full-text available

May 2015

·

172 Reads

·

1 Citation

·

·

Rafał Łentek

This paper presents the derivation of a new algorithm for multiplying of two Kaluza numbers. Performing this operation directly requires 1024 real multiplications and 992 real additions. The proposed algorithm can compute the same result with only 512 real multiplications and 576 real additions. The derivation of our algorithm is based on utilizing the fact that multiplication of two Kaluza numbers can be expressed as a matrixvector product. The matrix multiplicand that participates in the product calculating has unique structural properties. Namely exploitation of these specific properties leads to significant reducing of the complexity of Kaluza numbers multiplication.

Download

Ad

Citations (1)


... Therefore, reducing the computational complexity of the multiplication of hypercomplex numbers is an important scientific and engineering problem. The original algorithm for computing the product of Kaluza numbers was described in [25], but we found a more efficient solution. The purpose of this article is to present our new solution. ...

Reference:

An Algorithm for Fast Multiplication of Kaluza Numbers
An algorithm for multipication of Kaluza numbers