vol18_pp564-588. 215KB Jun 04 2011 12:06:04 AM
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Also using the identities given in section 1, we derive some new identities for Fibonacci and Lucas numbers.. Let us give them in the
These sequences are natural extensions of string and polygonal sequences, both of which involve Fibonacci and Lucas numbers, so we might expect the ratios of polygonal chain
We introduce polynomial generalizations of the r -Fibonacci, r -Gibonacci, and r - Lucas sequences which arise in connection with two statistics defined, respectively, on
In a similar fashion, it is shown that a real normal Toeplitz matrix must be one of four types: symmetric, skew-symmetric, circulant, or skew-circulant.. Here trigonometric
Complementary triangular forms of pairs of matrices, realizations with prescribed main matrices, and complete factorization of rational matrix functions.. Linear
Some applications of this factorization are given; in particular some matrix partial orderings and the relationship between the canonical angles and various classes of matrices
Some generalized inverses of partition matrix and quotient identity of generalized Schur complement.. Some resluts on group inverses of block matrices over
In the case of a partial TP matrix, the graph of whose specified entries is a sym- metrically placed cycle, as given in (1.1), the necessary conditions for a TP completion are the
