✦ LIBER ✦

Iterative computation of derivatives of repeated eigenvalues and the corresponding eigenvectors

✍ Scribed by Alan L. Andrew; Roger C. E. Tan

Publisher: John Wiley and Sons
Year: 2000
Tongue: English
Weight: 109 KB
Volume: 7
Category: Article
ISSN: 1070-5325
DOI: 10.1002/1099-1506(200005)7:4<151::aid-nla191>3.0.co;2-m

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Iterative computation of second-order de

Iterative computation of second-order derivatives of eigenvalues and eigenvectors

✍ Tan, Roger C. E. ;Andrew, Alan L. ;Hong, Felicia M. L. 📂 Article 📅 1994 🏛 John Wiley and Sons 🌐 English ⚖ 579 KB

Derivatives of complex eigenvectors with

Derivatives of complex eigenvectors with distinct and repeated eigenvalues

✍ Zhonghai Xu; Baisheng Wu 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 165 KB

## Abstract In this paper, we investigate the computation of the first‐order derivatives of complex eigenvectors for general non‐defective eigensystems. A new normalization condition is proposed, with which we can compute unique first‐order derivatives of arbitrary differentiable eigenvectors of sy

Computation of mixed partial derivatives

Computation of mixed partial derivatives of eigenvalues and eigenvectors by simultaneous iteration

✍ Andrew, Alan L. ;Tan, Roger C. E. 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 113 KB

A new simultaneous iteration method is presented for computing mixed second-order partial derivatives of several eigenvalues and the corresponding eigenvectors of a matrix which depends smoothly on some realvalued design parameters. Numerical results illustrate the viability of the method, and show

Some acceleration methods for iterative

Some acceleration methods for iterative computer of derivatives of eigenvalues and eigenvectors

✍ Roger C. E. Tan 📂 Article 📅 1989 🏛 John Wiley and Sons 🌐 English ⚖ 936 KB

A note on computing eigenvector derivati

A note on computing eigenvector derivatives with distinct and repeated eigenvalues

✍ Wu, Baisheng ;Xu, Zhonghai ;Li, Zhengguang 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 129 KB

Analytical Computation of the Eigenvalue

Analytical Computation of the Eigenvalues and Eigenvectors in DT-MRI

✍ Khader M. Hasan; Peter J. Basser; Dennis L. Parker; Andrew L. Alexander 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 131 KB

In this paper a noniterative algorithm to be used for the analytical determination of the sorted eigenvalues and corresponding orthonormalized eigenvectors obtained by diffusion tensor magnetic resonance imaging (DT-MRI) is described. The algorithm uses the three invariants of the raw water spin sel