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On the arrowhead-Fibonacci numbers

100%

Gültekin I., Deveci Ö.

Open Mathematics

2016

tom 14

nr 1

1104-1113

In this paper, we define the arrowhead-Fibonacci numbers by using the arrowhead matrix of the characteristic polynomial of the k-step Fibonacci sequence and then we give some of their properties. Also, we study the arrowhead-Fibonacci sequence modulo m and we obtain the cyclic groups from the generating matrix of the arrowhead-Fibonacci numbers when read modulo m. Then we derive the relationships between the orders of the cyclic groups obtained and the periods of the arrowhead-Fibonacci sequence modulo m.

Some new bounds of the minimum eigenvalue for the Hadamard product of anM-matrix and an inverseM-matrix

88%

Zhao J., Sang C.

Open Mathematics

2016

tom 14

nr 1

81-88

Some convergent sequences of the lower bounds of the minimum eigenvalue for the Hadamard product of a nonsingular M-matrix B and the inverse of a nonsingular M-matrix A are given by using Brauer’s theorem. It is proved that these sequences are monotone increasing, and numerical examples are given to show that these sequences could reach the true value of the minimum eigenvalue in some cases. These results in this paper improve some known results.

Ograniczanie wyników

2 Open Mathematics

1 Deveci Ö.

1 Gültekin I.

1 Sang C.

1 Zhao J.

2 2016

Wyniki wyszukiwania

On the arrowhead-Fibonacci numbers

Some new bounds of the minimum eigenvalue for the Hadamard product of anM-matrix and an inverseM-matrix