Unified superfast algorithm for confluent tangential interpolation problems and for structured matrices

1999 ◽  
Author(s):  
Vadim Olshevsky ◽  
M. A. Shokrollahi
Keyword(s):  
Structured Matrices ◽  
Interpolation Problems ◽  
Superfast Algorithm

Application of Atomic Functions to Interpolation Problems

2000 ◽  
Vol 54 (11-12) ◽  
pp. 23-37
Author(s):  
Victor Filippovich Kravchenko ◽  
Vladimir Alexeevich Rvachev
Keyword(s):  
Interpolation Problems

scholarly journals Global Properties of Eigenvalues of Parametric Rank One Perturbations for Unstructured and Structured Matrices

2021 ◽  
Vol 15 (3) ◽  
Author(s):  
André C. M. Ran ◽  
Michał Wojtylak
Keyword(s):  
Unit Circle ◽  
Structured Matrices ◽  
Additional Structure ◽  
General Properties ◽  
Global Properties ◽  
Classes Of Matrices ◽  
Rank One

AbstractGeneral properties of eigenvalues of $$A+\tau uv^*$$ A + τ u v ∗ as functions of $$\tau \in {\mathbb {C} }$$ τ ∈ C or $$\tau \in {\mathbb {R} }$$ τ ∈ R or $$\tau ={{\,\mathrm{{e}}\,}}^{{{\,\mathrm{{i}}\,}}\theta }$$ τ = e i θ on the unit circle are considered. In particular, the problem of existence of global analytic formulas for eigenvalues is addressed. Furthermore, the limits of eigenvalues with $$\tau \rightarrow \infty $$ τ → ∞ are discussed in detail. The following classes of matrices are considered: complex (without additional structure), real (without additional structure), complex H-selfadjoint and real J-Hamiltonian.

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