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Error bounds for linear complementarity problems of weakly chained diagonally dominant B-matrices [PDF]

open access: yesJournal of Inequalities and Applications, 2017
In this paper, new error bounds for the linear complementarity problem are obtained when the involved matrix is a weakly chained diagonally dominant B-matrix. The proposed error bounds are better than some existing results.
Feng Wang
doaj   +2 more sources

Simplified error bounds for turning point expansions [PDF]

open access: yes, 2021
: Recently, the present authors derived new asymptotic expansions for linear differential equations having a simple turning point. These involve Airy functions and slowly varying coefficient functions, and were simpler than previous approximations, in ...
Dunster, T. M.   +5 more
core   +1 more source

Characterizations of Stability of Error Bounds for Convex Inequality Constraint Systems

open access: yesOpen Journal of Mathematical Optimization, 2022
In this paper, we mainly study error bounds for a single convex inequality and semi-infinite convex constraint systems, and give characterizations of stability of error bounds via directional derivatives. For a single convex inequality, it is proved that
Wei, Zhou, Théra, Michel, Yao, Jen-Chih
doaj   +1 more source

New perspectives on covariant quantum error correction [PDF]

open access: yesQuantum, 2021
Covariant codes are quantum codes such that a symmetry transformation on the logical system could be realized by a symmetry transformation on the physical system, usually with limited capability of performing quantum error correction (an important case ...
Sisi Zhou, Zi-Wen Liu, Liang Jiang
doaj   +1 more source

On Robust Global Error Bounds for a Class of Uncertain Piecewise Linear Inequality Systems

open access: yesAxioms, 2022
This paper is concerned with the radius of robust global error bounds for an uncertain piecewise linear inequality system where the uncertain data are assumed to be in polytope uncertain sets.
Wen Tan, Xiaole Guo, Xiangkai Sun
doaj   +1 more source

Basic bounds on cluster error using distortion-rate

open access: yesMachine Learning with Applications, 2021
Clustering is a popular type of unsupervised learning technique that performs natural groupings on samples to generate probably approximately correct groups.
JR. Bhatnagar
doaj   +1 more source

Error bounds in stochastic-geometric normal approximation [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2008
We provide normal approximation error bounds for sums of the form $\sum_x \xi_x$, indexed by the points $x$ of a Poisson process (not necessarily homogeneous) in the unit $d$-cube, with each term $\xi_x$ determined by the configuration of Poisson points ...
Mathew Penrose, Tom Rosoman
doaj   +1 more source

A Novel Numerical Method for Computing Subdivision Depth of Quaternary Schemes

open access: yesMathematics, 2021
In this paper, an advanced computational technique has been presented to compute the error bounds and subdivision depth of quaternary subdivision schemes.
Aamir Shahzad   +5 more
doaj   +1 more source

Some characterizations of error bound for non-lower semicontinuous functions

open access: yesJournal of Inequalities and Applications, 2019
In this paper, we study the error bound of non-lower semicontinuous functions. First, we extend the concepts of strong slope and global slope to the non-lower semicontinuous functions.
Miantao Chao   +2 more
doaj   +1 more source

Bounds on Autonomous Quantum Error Correction [PDF]

open access: yesQuantum
Autonomous quantum memories are a way to passively protect quantum information using engineered dissipation that creates an “always-on'' decoder. We analyze Markovian autonomous decoders that can be implemented with a wide range of qubit and bosonic ...
Oles Shtanko   +4 more
doaj   +1 more source

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