ADDITION TO %26quot;THE QUASI-KRONECKER FORM FOR MATRIX PENCILS%26quot;

作者：Berger Thomas^*; Trenn Stephan

来源：SIAM Journal on Matrix Analysis and Applications, 2013, 34(1): 94-101.

DOI：10.1137/120883244

• singular matrix pencil
• Wong sequences
• Kronecker canonical form
• quasi-Kronecker form

We refine a result concerning singular matrix pencils and the Wong sequences. In our recent paper [T. Berger and S. Trenn, SIAM J. Matrix Anal. Appl., 33 (2012), pp. 336-368] we have shown that the Wong sequences are sufficient to obtain a quasi-Kronecker form. However, we applied the Wong sequences again on the regular part to decouple the regular matrix pencil corresponding to the finite and infinite eigenvalues. The current paper is an addition to [T. Berger and S. Trenn, SIAM J. Matrix Anal. Appl., 33 (2012), pp. 336-368], which shows that the decoupling of the regular part can be done already with the help of the Wong sequences of the original matrix pencil. Furthermore, we show that the complete Kronecker canonical form can be obtained with the help of the Wong sequences.

• 出版日期2013