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Information Seminar Paper

Title

DETERMINANT REPRESENTATIONS OF SEQUENCES

Pages

  -

Keywords

(QUASI) TOEPLITZ MATRIX 
(QUASI) PASCALLIKE MATRIX 
FIBONACCI (LUCAS 
JACOBSTHAL AND PELL) SEQUENCE 

Abstract

 IN THIS TALK WE RECALL SOME RECENT RESULTS CONCERNING (INTEGER) MATRICES WHOSE LEADING PRINCIPAL MINORS FORM WELL-KNOWN SEQUENCES SUCH AS FIBONACCI, LUCAS, JACOBSTHAL AND PELL (SUB) SEQUENCES.THERE ARE MANY DIFFERENT WAYS OF CONSTRUCTING SUCH MATRICES. SOME OF THESE MATRICES ARE CONSTRUCTED BY HOMOGENEOUS OR NON-HOMOGENEOUS RECURRENCE RELATIONS, AND OTHERS ARE CONSTRUCTED BY CONVOLUTION OF TWO SEQUENCES. HERE, WE WILL ILLUSTRATE THE IDEA OF SOME METHODS BY CONSTRUCTING SOME INTEGER MATRICES OF THIS KIND.

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