Results 31 to 40 of about 1,945,411 (275)

Strong Converse and Stein's Lemma in the Quantum Hypothesis Testing [PDF]

open access: yes, 1999
The hypothesis testing problem of two quantum states is treated. We show a new inequality between the error of the first kind and the second kind, which complements the result of Hiai and Petz to establish the quantum version of Stein's lemma.
Nagaoka, Hiroshi, Ogawa, Tomohiro
core   +4 more sources

Cross-product cubature error bounds [PDF]

open access: yesMathematics of Computation, 1970
This paper is concerned with cross-product cubature rules. We use Sard’s Kernel Theorem [ 10 ] [10] to express the cross-product cubature error in terms of one variable kernels. This simplified representation of the error is then used to derive cubature error bounds analogous to those obtained by Secrest and ...
openaire   +2 more sources

On the Error in Phase Transition Computations for Compressed Sensing [PDF]

open access: yes, 2019
Evaluating the statistical dimension is a common tool to determine the asymptotic phase transition in compressed sensing problems with Gaussian ensemble. Unfortunately, the exact evaluation of the statistical dimension is very difficult and it has become
Amini, Arash   +3 more
core   +2 more sources

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

Error Bound for Conic Inequality in Hilbert Spaces

open access: yesAbstract and Applied Analysis, 2014
We consider error bound issue for conic inequalities in Hilbert spaces. In terms of proximal subdifferentials of vector-valued functions, we provide sufficient conditions for the existence of a local error bound for a conic inequality.
Jiangxing Zhu, Qinghai He, Jinchuan Lin
doaj   +1 more source

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

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   +1 more source

On an exact penality result and new constraint qualifications for mathematical programs with vanishing constraints [PDF]

open access: yesYugoslav Journal of Operations Research, 2019
In this paper, we considered the mathematical programs with vanishing constraints or MPVC. We proved that an MPVC-tailored penalty function, introduced in [5], is still exact under a very weak and new constraint qualification.
Nath Triloki, Khare Abeka
doaj   +1 more source

Development of Frequency Weighted Model Order Reduction Techniques for Discrete-Time One-Dimensional and Two-Dimensional Linear Systems With Error Bounds

open access: yesIEEE Access, 2022
Frequency weighted model reduction framework pretested by Enns yields an unstable reduced order model. Researchers demonstrated several stability preserving techniques to address this main shortcoming, ensuring the stability of one-dimensional and two ...
Muhammad Imran   +2 more
doaj   +1 more source

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