𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Index Calculus for Approximation Methods and Singular Value Decomposition

✍ Scribed by Steffen Roch; Bernd Silbermann

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
283 KB
Volume
225
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.

✦ Synopsis

Moore᎐Penrose and Fredholm sequences, which correspond in a sense to normally solvable and Fredholm operators, respectively. For Moore᎐Penrose sequences, we derive a certain qualitative behavior of the singular values of the approximation operators A , and we describe this behavior quantitatively for Fredholm sequences n by defining the ␣-number and the index of an approximation method. ᮊ 1998

📜 SIMILAR VOLUMES

A Singular Value Decomposition-Based Met
A Singular Value Decomposition-Based Method for Solving a Deterministic Adaptive Problem
✍ S. Park; T.K. Sarkar; Yingbo Hua 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 93 KB

A computational scheme based on the singular value decomposition (SVD) for a deterministic, data domain approach to the adaptive processing problem is presented. In the direct data domain approach, a single snapshot is considered for an assumed direction of arrival with unknown amplitude. This unkno

Application of singular value decomposit
Application of singular value decomposition for integral equation procedures in MIMICAD
✍ Thorburn, Michael A. ;Tripathi, Vijai K. 📂 Article 📅 1992 🏛 John Wiley and Sons 🌐 English ⚖ 381 KB

## Abstract An efficient moment method procedure which utilizes a point matching scheme together with a generalized inverse is formulated and implemented with the use of the singular value decomposition. The integral representation of Green's functions and a combination of semi‐infinite and subdoma

Application of the ‘Singular Value Decom
Application of the ‘Singular Value Decomposition’ Method for the Quantitative Interpretation of the NMR Spectra of Paramagnetic Compounds
✍ Hauke Reddmann 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 279 KB 👁 1 views

A possible new application for the "singular value decompositionÏ (SVD) method is described. With the help of SVD, the isotropic NMR shifts of paramagnetic metallorganic compounds of the type (where Cp = g5-Cp 3 Ln AE B cyclopentadienyl, B = neutral base and Ln = lanthanoid) were quantitatively int

A technique to locate minima in singular
A technique to locate minima in singular-value decomposition for eigenvalue problems in electromagnetics
✍ Smain Amari; Jens Bornemann; Rüdiger Vahldieck 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 127 KB 👁 2 views

An efficient technique to locate minima zeros in the smallest singular ¨alue of a singular ¨alue decomposition, as used to sol¨e eigen¨alue problems in electromagnetics, is presented. The efficiency of the technique depends only on the a¨ailability of a sufficiently accurate representation of the sm

DETERMINATION OF SPURIOUS EIGENVALUES AN
DETERMINATION OF SPURIOUS EIGENVALUES AND MULTIPLICITIES OF TRUE EIGENVALUES IN THE DUAL MULTIPLE RECIPROCITY METHOD USING THE SINGULAR-VALUE DECOMPOSITION TECHNIQUE
✍ J.T. CHEN; C.X. HUANG; F.C. WONG 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 253 KB

The dual multiple reciprocity method (MRM) has been employed by the authors' group [3] to solve the acoustic modes of a cavity with or without a thin partition. In this paper, we propose the singular-value decomposition technique to "lter our spurious eigenvalues and to determine the multiplicity of