More on the Fibonacci sequence and Hessenberg matrices.

Esmaeili, Morteza

Displaying similar documents to “More on the Fibonacci sequence and Hessenberg matrices.”

Addition of initial segments. II.

Antonín Sochor (1988)

Commentationes Mathematicae Universitatis Carolinae

Similarity:

Diophantine quadruples for squares of Fibonacci and Lucas numbers.

Dujella, Andrej (1995)

Portugaliae Mathematica

Similarity:

A bijective proof of $f_{n + 4} + f_{1} + 2 f_{2} + \dots + n f_{n} = (n + 1) f_{n + 2} + 3$ .

Matchett Wood, Philip (2006)

Integers

Similarity:

Integer solutions of some Diophantine equations via Fibonacci and Lucas numbers.

Demirtürk, Bahar, Keskin, Refik (2009)

Journal of Integer Sequences [electronic only]

Similarity:

Some norm inequalities for special Gram matrices

Ramazan Türkmen, Osman Kan, Hasan Gökbas (2016)

Special Matrices

Similarity:

In this paper we firstly give majorization relations between the vectors Fn = {f0, f1, . . . , fn−1},Ln = {l0, l1, . . . , ln−1} and Pn = {p0, p1, . . . , pn−1} which constructed with fibonacci, lucas and pell numbers. Then we give upper and lower bounds for determinants, Euclidean norms and Spectral norms of Gram matrices GF=〈Fn,Fni〉, GL=〈Ln,Lni〉, GP=〈Pn,Pni〉, GFL=〈Fn,Lni〉, GFP=〈Fn,Pni〉.