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University of South Florida

1. Salter, Ena. Fibonacci Vectors.

Degree: 2005, University of South Florida

By the n-th Fibonacci (respectively Lucas) vector of length m, we mean the vector whose components are the n-th through (n+m-1)-st Fibonacci (respectively Lucas) numbers. For arbitrary m, we express the dot product of any two Fibonacci vectors, any two Lucas vectors, and any Fibonacci vector and any Lucas vector in terms of the Fibonacci and Lucas numbers. We use these formulas to deduce a number of identities involving the Fibonacci and Lucas numbers.

Subjects/Keywords: Linear algebra; Lucas numbers; Product identites; Asymptotics; Golden ratio; American Studies; Arts and Humanities

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th Edition):

Salter, E. (2005). Fibonacci Vectors. (Thesis). University of South Florida. Retrieved from https://scholarcommons.usf.edu/etd/841

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16th Edition):

Salter, Ena. “Fibonacci Vectors.” 2005. Thesis, University of South Florida. Accessed July 11, 2020. https://scholarcommons.usf.edu/etd/841.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7th Edition):

Salter, Ena. “Fibonacci Vectors.” 2005. Web. 11 Jul 2020.

Vancouver:

Salter E. Fibonacci Vectors. [Internet] [Thesis]. University of South Florida; 2005. [cited 2020 Jul 11]. Available from: https://scholarcommons.usf.edu/etd/841.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Salter E. Fibonacci Vectors. [Thesis]. University of South Florida; 2005. Available from: https://scholarcommons.usf.edu/etd/841

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

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