An extremal sparsity property of the Jordan canonical form

作者：Brualdi Richard A^*; Pei Pei; Zhan Xingzhi

来源：Linear Algebra and Its Applications, 2008, 429(10): 2367-2372.

DOI：10.1016/j.laa.2007.06.009

• Jordan canonical form
• Similarity
• Sparsity
• Zero pattern

We prove that among all the matrices that are similar to a given square complex matrix, the Jordan canonical form has the largest number of off-diagonal zero entries. We also characterize those matrices that attain this largest number.

• 出版日期2008-11-1
• 单位华东师范大学