Title :
The Improved Nonsingularity on the r-Circulant Matrices in Signal Processing
Author_Institution :
Coll. of Comput. Sci. & Technol., Shandong Univ. of Technol., Zibo, China
Abstract :
As an important class of special matrix, r-circulant matrices have applied in numerical computation, signal processing, coding theory and oil investigation in recent years, and so on. In this paper, motivated by [1] and [2], we discuss the inverse problem of circulant matrices, by using only the elements in the first row of the r-circulant matrix on non singularity, we give some discriminations, give a simpler and more useful algorithm method of the inverse matrix of the circulant matrix. and give an example at last.
Keywords :
inverse problems; matrix algebra; inverse matrix; nonsingularity; numerical computation; r-circulant matrix; signal processing; Chromium; Codes; Computer science; Educational institutions; Inverse problems; Petroleum; Polynomials; Radio access networks; Signal processing; Signal processing algorithms; inverse matrix; non singularity; r-circulant matrix; singularity;
Conference_Titel :
Computer Technology and Development, 2009. ICCTD '09. International Conference on
Conference_Location :
Kota Kinabalu
Print_ISBN :
978-0-7695-3892-1
DOI :
10.1109/ICCTD.2009.218