Real perturbation values and real quadratic forms in a complex vector space

✍ Scribed by Bo Bernhardsson; Anders Rantzer; Li Qiu

• Publisher: Elsevier Science
• Year: 1998
• Tongue: English
• Weight: 795 KB
• Volume: 270
• Category: Article
• ISSN: 0024-3795
• DOI: 10.1016/s0024-3795(97)00232-2

✦ Synopsis

A sequence of real numbers connected to a complex matrix is introduced. It is shown how these real perturbation values can be computed and that they have several properties similar to the singular values. The so-called real pseudospectra and real stability radii can be computed using the real perturbation values. The main result concerns the signature of real quadratic forms in complex vector spaces.