𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the Residual Norm in FOM and GMRES

✍ Scribed by Meurant, Gérard


Book ID
118212008
Publisher
Society for Industrial and Applied Mathematics
Year
2011
Tongue
English
Weight
323 KB
Volume
32
Category
Article
ISSN
0895-4798

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Ritz and harmonic Ritz values and the co
✍ Serge Goossens; Dirk Roose 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 95 KB

The Ritz and harmonic Ritz values are approximate eigenvalues, which can be computed cheaply within the FOM and GMRES Krylov subspace iterative methods for solving non-symmetric linear systems. They are also the zeros of the residual polynomials of FOM and GMRES, respectively. In this paper we show

On Norm Residue Symbols and Conductors
✍ Romyar T Sharifi 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 131 KB

Using the norm residue symbol and a reciprocity law of Artin and Hasse, we determine the conductors of Kummer extensions of the form K( p n a, `n)ÂK(`n) for any unramified extension K of Q p , element a # K\*, and primitive p n th root of unity `n. We are able to do this without more recent and gene