scholarly journals Newton's Iteration for Inversion of Cauchy-Like and Other Structured Matrices

1997 ◽  
Vol 13 (1) ◽  
pp. 108-124 ◽  
Author(s):  
Victor Y. Pan ◽  
Ailong Zheng ◽  
Xiaohan Huang ◽  
Olen Dias
Keyword(s):  
Structured Matrices ◽  
Newton's Iteration

7. Newton's Iteration for Structured Matrices

1999 ◽  
pp. 189-210 ◽  
Author(s):  
Victor Y. Pan ◽  
Sheryl Branham ◽  
Rhys E. Rosholt ◽  
Ai-Long Zheng
Keyword(s):  
Structured Matrices ◽  
Newton's Iteration

scholarly journals Structured matrices and Newton's iteration: unified approach

2002 ◽  
Vol 343-344 ◽  
pp. 233-265 ◽  
Author(s):  
Victor Y. Pan ◽  
Youssef Rami ◽  
Xinmao Wang
Keyword(s):  
Structured Matrices ◽  
Unified Approach ◽  
Newton's Iteration

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.

scholarly journals Multidimensional structured matrices and polynomial systems

CALCOLO ◽  
1996 ◽  
Vol 33 (3-4) ◽  
pp. 389-401 ◽  
Author(s):  
Bernard Mourrain ◽  
Victor Y. Pan
Keyword(s):  
Polynomial Systems ◽  
Structured Matrices
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