Digraphs and Inclusion Intervals of Brualdi-type for Singular Values  

作　　者：Jiong-sheng Li, Kai Yang, Qing-xue WangDepartment of Mathematics, University of Science and Technology of China, Hefei 230026, China 

出　　处：《Acta Mathematicae Applicatae Sinica》2002年第3期471-476,共6页应用数学学报（英文版）

基　　金：the National Natural Science Foundation of China (No.19971086);the Doctoral Program Foundation of National Education Department of China.

摘　　要： A complex matrix A is said to be a matrix realization of the digraph D if D is the associated digraph of A, and A is said to have the property B if every singular value of A is contained in the union of Brualdi-type intervals. A digraph D is said to be a forcible B-digraph if every matrix realization of D has the property B. In this paper, we give a sufficient condition for a matrix to have the property B and characterize the forcible B-digraphs.A complex matrix A is said to be a matrix realization of the digraph D if D is the associated digraph of A, and A is said to have the property B if every singular value of A is contained in the union of Brualdi-type intervals. A digraph D is said to be a forcible B-digraph if every matrix realization of D has the property B. In this paper, we give a sufficient condition for a matrix to have the property B and characterize the forcible B-digraphs.

关 键 词：DIGRAPH matrix realization singular value inclusion interval 

分 类 号：O157.5[理学—数学]