Please use this identifier to cite or link to this item: http://hdl.handle.net/10316/4646
Title: Computing the zeros of quaternion polynomials
Authors: Serôdio, R. 
Pereira, E. 
Vitória, J. 
Keywords: Right (and left) quaternionic eigenvalues; Quaternionic polynomials; Companion quaternionic matrix
Issue Date: 2001
Citation: Computers & Mathematics with Applications. 42:8-9 (2001) 1229-1237
Abstract: A method is developed to compute the zeros of a quaternion polynomial with all terms of the form qkXk. This method is based essentially in Niven's algorithm [1], which consists of dividing the polynomial by a characteristic polynomial associated to a zero. The information about the trace and the norm of the zero is obtained by an original idea which requires the companion matrix associated to the polynomial. The companion matrix is represented by a matrix with complex entries. Three numerical examples using Mathematica 2.2 version are given.
URI: http://hdl.handle.net/10316/4646
DOI: 10.1016/S0898-1221(01)00235-8
Rights: openAccess
Appears in Collections:FCTUC Matemática - Artigos em Revistas Internacionais

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