Research On The Second Piece Of R Cyclic Matrix

Cyclic matrix is an increasingly important part in the area of applied mathematicsand active field, and it as a very important part of the matrix theory, the structure andproperties of itself has very good. So it is widely used in the field of modern scienceand technology project, the nature of the cyclic matrix in in-depth discussion is verynecessary. many meaningful results will gradually with the further study of cyclicmatrix class.Based on a large number of literature, this paper studied the characters of thesecond type of r cyclic matrix, and then further expansion of the second block circulantmatrices is studied, and gives some special some properties of the second type of rcyclic matrix.This paper mainly includes the following several parts:First chapter and the second chapter describe the history of research cycle matrixand the main purpose of the study. This part introduces the vandermonde andKronecker product of matrix. And the properties of the second type of cyclic matrixare discussed in this paper.The third chapter mainly studies the second piece of cyclic matrix, puts forwardthe concept of the second block circulant matrices, expanding the scope of cyclicmatrix. Necessary and sufficient condition for the second piece of cyclic matrix formed,the second piece of cyclic matrix inverse matrix of its properties are studied. Finallygives some special the second piece of cyclic matrix, and their properties are studiedand discussed.