✦ LIBER ✦

On Pseudospectra, Critical Points, and Multiple Eigenvalues of Matrix Pencils

✍ Scribed by Ahmad, Sk. Safique; Alam, Rafikul; Byers, Ralph

Book ID: 118211806
Publisher: Society for Industrial and Applied Mathematics
Year: 2010
Tongue: English
Weight: 293 KB
Volume: 31
Category: Article
ISSN: 0895-4798
DOI: 10.1137/070711645

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Pseudospectra, critical points and multi

Pseudospectra, critical points and multiple eigenvalues of matrix polynomials

✍ Sk. Safique Ahmad; Rafikul Alam 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 330 KB

On the sensitivity of multiple eigenvalu

On the sensitivity of multiple eigenvalues of nonsymmetric matrix pencils

✍ Huiqing Xie; Hua Dai 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 158 KB

This paper considers the sensitivity of semisimple multiple eigenvalues and corresponding generalized eigenvector matrices of a nonsymmetric matrix pencil analytically dependent on several parameters. The directional derivatives of the multiple eigenvalues are obtained, and the average of eigenvalue

On condition numbers of a nondefective m

On condition numbers of a nondefective multiple eigenvalue of a nonsymmetric matrix pencil

✍ Huiqing Xie; Hua Dai 📂 Article 📅 2012 🏛 Elsevier Science 🌐 English ⚖ 292 KB

On the equality of algebraic and geometr

On the equality of algebraic and geometric multiplicities of matrix eigenvalues

✍ J. Ding; Noah H. Rhee 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 213 KB

We summarize seventeen equivalent conditions for the equality of algebraic and geometric multiplicities of an eigenvalue for a complex square matrix. As applications, we give new proofs of some important results related to mean ergodic and positive matrices.

[IEEE 1991., IEEE International Sympoisu

[IEEE 1991., IEEE International Sympoisum on Circuits and Systems - Singapore (11-14 June 1991)] 1991., IEEE International Sympoisum on Circuits and Systems - On SVD for estimating generalized eigenvalues of singular matrix pencil in noise

✍ Hua, Y.; Sarkar, T.K. 📂 Article 📅 1991 🏛 IEEE ⚖ 370 KB

Critical points of DNA quantification by

Critical points of DNA quantification by real-time PCR – effects of DNA extraction method and sample matrix on quantification of genetically modified organisms

✍ Katarina Cankar; Dejan Štebih; Tanja Dreo; Jana Žel; Kristina Gruden 📂 Article 📅 2006 🏛 BioMed Central 🌐 English ⚖ 1001 KB

## Background Real-time PCR is the technique of choice for nucleic acid quantification. In the field of detection of genetically modified organisms (GMOs) quantification of biotech products may be required to fulfil legislative requirements. However, successful quantification depends crucially on t