DECOMPOSABILITY

作品数:6被引量:0H指数:0
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相关领域:自动化与计算机技术更多>>
相关作者:何淦瞳更多>>
相关机构:贵州大学更多>>
相关期刊:《Acta Mathematica Sinica,English Series》《Acta Mathematicae Applicatae Sinica》《International Journal of Communications, Network and System Sciences》《Frontiers of Mathematics in China》更多>>
相关基金:国家自然科学基金更多>>
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The Decomposability for Operator Matrices and Perturbations
《Acta Mathematica Sinica,English Series》2023年第3期497-512,共16页Xiao Li WANG ALATANCANG 
Supported by National Natural Science Foundation of China(Grant No.11761029);Inner Mongolia Higher Education Science and Technology Research Project(Grant Nos.NJZY22323 and NJZY22324);Inner Mongolia Natural Science Foundation(Grant No.2018MS07020)。
Let X and Y be Banach spaces.For A∈L(X),B∈L(Y),C∈L(Y,X),let MCbe the operator matrix defined on X⊕Y by M_(C)=(AC0B)∈L(X⊕Y).In this paper we investigate the decomposability for MC.We consider Bishop’s property(...
关键词:Bishop’s property(β) decomposition property(δ) Dunford’s property(C) DECOMPOSABILITY operator matrix PERTURBATION local spectral theory 
Symmetric Hermitian decomposability criterion,decomposition,and its applications
《Frontiers of Mathematics in China》2022年第5期961-986,共26页Guyan NI Bo YANG 
This work was supported by the National Natural Science Foundation of China(Grant No.11871472).
The Hermitian tensor is an extension of Hermitian matrices and plays an important role in quantum information research.It is known that every symmetric tensor has a symmetric CP-decomposition.However,symmetric Hermiti...
关键词:Hermitian tensor tensor decomposition symmetric Hermitian decomposition quantum mixed states quantum entanglement 
The Local Spectral Properties of Extended Hamilton Operators
《Acta Mathematica Sinica,English Series》2018年第7期1110-1120,共11页Jun Li SHEN Guo Xing JI Alatancang 
Supported by the National Natural Science Foundation of China(Grant No.11601130);the Natural Science Foundation of the Department of Education of He’nan Province(Grant Nos.16A110033 and 17A110005)
In this paper, we introduce the class of extended Hamilton operators and study various properties of this class. We examine the decomposability of extended Hamilton operators. In addition, we prove that an extended Ha...
关键词:Extended Hamilton operator property (β) DECOMPOSABILITY subscalar operator Weyl's theorem 
On Local Spectral Properties of Hamilton Type Operators
《Acta Mathematicae Applicatae Sinica》2018年第1期173-182,共10页Jun-li SHEN Alatancang 
Supported by the National Natural Science Foundation of China under Grant No.11601130 and 11761029;the Natural Science Foundation of the Department of Education of Henan Province under Grant No.16A110033and 17A110005;Doctoral Foundation of Henan Normal University No.qd15133
In this paper, we introduce the class of Hamilton type operators and study various properties of this class. We show that every Hamilton type operator with property(β) or(δ) is decomposable. In addition,we prove...
关键词:Hamilton type operators property (β) property (C) DECOMPOSABILITY Weyl's theorem 
Potential Vulnerability of Encrypted Messages: Decomposability of Discrete Logarithm Problems
《International Journal of Communications, Network and System Sciences》2010年第8期639-644,共6页Boris S. Verkhovsky 
This paper provides a framework that reduces the computational complexity of the discrete logarithm problem. The paper describes how to decompose the initial DLP onto several DLPs of smaller dimensions. Decomposabilit...
关键词:Network VULNERABILITY System Security Discrete LOGARITHM INTEGER FACTORIZATION Multi-Level Decomposition Complexity Analysis 
Quasidirect Decompositions of Full Rank Hankel Matrices
《Journal of Mathematical Research and Exposition》2005年第1期47-57,共11页何淦瞳 
NaturalScienceFoundationoftheEducationDepartmentofGuizhouProvince(2002303)
This paper studies the decomposition of a full rank (rectangular) Hankel matrix into the sum of Hankel matrices whose ranks add up to that of the original matrix.
关键词:Hankel matrix H-decomposability quasidirect decomposition 
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