### Abstract

This paper introduces a parallel algorithm for computing an N = n2^{n} point Lagrange interpolation on an n-dimensional cube-connected cycles (CCC_{n}). The algorithm consists of three phases: initialisation, main and final. While there is no computation in the initialisation phase, the main phase is composed of n2^{n-1} steps, each consisting of four multiplications, four subtractions and one communication operation, and an additional step including one division and one multiplication. The final phase is carried out in two sub-phases. There are [n/2] steps in the first sub-phase, each including two additions and one communication, followed by the second sub-phase which comprises n steps each consisting of one addition and two communication operations.

Original language | English |
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Pages (from-to) | 135-140 |

Number of pages | 6 |

Journal | Microprocessors and Microsystems |

Volume | 24 |

Issue number | 3 |

Publication status | Published - Jun 1 2000 |

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### Keywords

- Cube-connected cycles
- Interconnection networks
- Lagrange interpolation
- Parallel algorithms

### ASJC Scopus subject areas

- Computer Networks and Communications
- Hardware and Architecture
- Software
- Control and Systems Engineering
- Electrical and Electronic Engineering

### Cite this

*Microprocessors and Microsystems*,

*24*(3), 135-140.