Error bounds revisited

ND Cuong, AY Kruger - Optimization, 2022 - Taylor & Francis
… -error bound (with δ and μ). When δ = + ∞ , we have B δ ( x ) = X , ie the error bound property
… are in the setting of global error bounds. In this case, we simply say that f admits a global τ -…

Weak sharp minima revisited, part II: application to linear regularity and error bounds

JV Burke, S Deng - Mathematical programming, 2005 - Springer
… In Section 4, we focus on error bounds for nondifferentiable … the existence of global error
bounds and obtain several new … the existence of a global error bound and the linear regularity of …

[PDF][PDF] Error analysis revisited

JH Wilkinson - IMA bulletin, 1986 - cdn.ima.org.uk
… , the corresponding contribution to the error bound was automatically omitted. By contrast the
error bound! If any reader finds that he cannot at this point obtain appropriate error bounds

Weak sharp minima revisited, Part III: Error bounds for differentiable convex inclusions

JV Burke, S Deng - Mathematical Programming, 2009 - Springer
… Part II discusses applications of these results to linear regularity and error bounds for
nondifferentiable convex inequalities. This work applies the results of Part I to error bounds for …

The restricted strong convexity revisited: analysis of equivalence to error bound and quadratic growth

H Zhang - Optimization Letters, 2017 - Springer
… the error bound and quadratic growth properties on arXiv. They defined the error bound
, that generalizes our modified error bound property and the global error bound from the …

The Lepskii principle revisited

P Mathé - Inverse problems, 2006 - iopscience.iop.org
… By choosing j from (3) we obtain (up to a factor of 6D) the best of all possible error bounds
(6). The latter bound would have been obtained if j … Still we can guarantee the error bound x …

[HTML][HTML] Bounded confidence revisited: What we overlooked, underestimated, and got wrong

R Hegselmann - Journal of Artificial Societies and Social Simulation, 2023 - jasss.org
… In the computation of BC-processes, it can easily happen that representational or operational
floating-point errors (their order of magnitude is \(10^{-17}\)) cause subsequent errors of 16 …

Convolution quadrature revisited

C Lubich - BIT Numerical Mathematics, 2004 - Springer
… to finite-part convolutions with non-integrable kernel, and gives new, unified proofs of the
optimal error bounds for both locally integrable and non-integrable convolution kernels. …

Describing functions revisited

A Mees, A Bergen - IEEE Transactions on Automatic Control, 1975 - ieeexplore.ieee.org
bounds and one cannot use the powerful graphical representation which makes the DF method
attractive in the first place. In addition, the error bounds … paper, but error bounds are more …

Cooperative localization revisited: Error bound, scaling, and convergence

S Shioda, K Shimamura - Proceedings of the 16th ACM international …, 2013 - dl.acm.org
… We show that several error bounds and the estimation bias of the cooperative localization
can be obtained by simple arguments (eg by using triangle inequality) without specifying the …