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SIAMNUM
2011
102views more  SIAMNUM 2011»
14 years 10 months ago
Differential Equations for Roaming Pseudospectra: Paths to Extremal Points and Boundary Tracking
Abstract. When studying the ε-pseudospectrum of a matrix, one is often interested in computing the extremal points having maximum real part or modulus. This is a crucial step, for...
Nicola Guglielmi, Christian Lubich
SIAMNUM
2011
92views more  SIAMNUM 2011»
14 years 10 months ago
A Priori Mesh Grading for an Elliptic Problem with Dirac Right-Hand Side
The Green function of the Poisson equation in two dimensions is not contained in the Sobolev space H1(Ω) such that finite element error estimates for the discretization of a prob...
Thomas Apel, Olaf Benedix, Dieter Sirch, Boris Vex...
SIAMMAX
2011
79views more  SIAMMAX 2011»
14 years 10 months ago
Nonlinear Low Rank Modification of a Symmetric Eigenvalue Problem
This paper studies existence and uniqueness results and interlacing properties of nonlinear modifications of small rank of symmetric eigenvalue problems. Approximation properties ...
Heinrich Voss, Kemal Yildiztekin, Xin Huang
SIAMMAX
2011
92views more  SIAMMAX 2011»
14 years 10 months ago
A Condition for Convexity of a Product of Positive Definite Quadratic Forms
A sufficient condition for the convexity of a finite product of positive definite quadratic forms is given in terms of the condition numbers of the underlying matrices. When only...
Minghua Lin, Gord Sinnamon
SIAMMAX
2011
157views more  SIAMMAX 2011»
14 years 10 months ago
Deflated Restarting for Matrix Functions
We investigate an acceleration technique for restarted Krylov subspace methods for computing the action of a function of a large sparse matrix on a vector. Its effect is to ultima...
Michael Eiermann, Oliver G. Ernst, Stefan Güt...