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CAGD
2007
65views more  CAGD 2007»
13 years 5 months ago
Progressive iterative approximation and bases with the fastest convergence rates
All normalized totally positive bases satisfy the progressive iterative approximation property. The normalized B-basis has optimal shape preserving properties and we prove that it...
Jorge Delgado, Juan Manuel Peña
ISCAS
2007
IEEE
371views Hardware» more  ISCAS 2007»
13 years 11 months ago
FIR Filter Approximation by IIR Filters Based on Discrete-Time Vector Fitting
— We present a novel way of approximating FIR filters by IIR structures through generalizing the vector fitting (VF) algorithm, popularly used in continuous-time frequency-doma...
Ngai Wong, Chi-Un Lei
MP
2002
101views more  MP 2002»
13 years 5 months ago
Componentwise fast convergence in the solution of full-rank systems of nonlinear equations
The asymptotic convergence of parameterized variants of Newton's method for the solution of nonlinear systems of equations is considered. The original system is perturbed by a...
Nicholas I. M. Gould, Dominique Orban, Annick Sart...
SIAMIS
2011
13 years 12 days ago
Gradient-Based Methods for Sparse Recovery
The convergence rate is analyzed for the sparse reconstruction by separable approximation (SpaRSA) algorithm for minimizing a sum f(x) + ψ(x), where f is smooth and ψ is convex, ...
William W. Hager, Dzung T. Phan, Hongchao Zhang
SIAMMAX
2011
141views more  SIAMMAX 2011»
12 years 8 months ago
Best Low Multilinear Rank Approximation of Higher-Order Tensors, Based on the Riemannian Trust-Region Scheme
Higher-order tensors are used in many application fields, such as statistics, signal processing, and scientific computing. Efficient and reliable algorithms for manipulating thes...
Mariya Ishteva, Pierre-Antoine Absil, Sabine Van H...