Treffer: On determinants of matrices with general Fibonacci numbers entries
Title:
On determinants of matrices with general Fibonacci numbers entries
Authors:
Source:
Applied Mathematics and Computation. 167:670-676
Publisher Information:
Elsevier BV, 2005.
Publication Year:
2005
Subject Terms:
0209 industrial biotechnology, generalized Fibonacci numbers, 0103 physical sciences, Fibonacci and Lucas numbers and polynomials and generalizations, Hermitian, skew-Hermitian, and related matrices, Determinants, permanents, traces, other special matrix functions, 02 engineering and technology, determinant, 01 natural sciences, matrix
Document Type:
Fachzeitschrift
Article
File Description:
application/xml
Language:
English
ISSN:
0096-3003
DOI:
10.1016/j.amc.2004.06.139
Access URL:
Rights:
Elsevier TDM
Accession Number:
edsair.doi.dedup.....1dfb900cd3d3080435cbc8adc9b38cfe
Database:
OpenAIRE
Weitere Informationen
The author uses his first reference [\textit{D. Kalman}, Fibonacci Q. 20, 73--76 (1982; Zbl 0472.10016)] to present \(k\) sequences of Fibonacci numbers by matrices. He then uses inductive arguments along with some of the properties of determinants to evaluate the determinants of the matrices involved in the presentation of the \(k\) sequences of Fibonacci numbers.