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POSITIVE_DEFINITE: 作品数：51被引量：88H指数：4; 导出分析报告; 相关作者：王瑞卿曹重光谢志鹏毕金波更多>>; 相关机构：郑州纺织工学院黑龙江大学南京航空航天大学华侨大学更多>>; 相关期刊：《Advances in Atmospheric Sciences》《Journal of Mathematics and System Science》《Numerical Mathematics(Theory,Methods and Applications)》《Frontiers of Mathematics in China》更多>>; 相关基金：国家自然科学基金国家教育部博士点基金更多>>

Additively Indecomposable Positive Definite Integral Lattices: 《Acta Mathematica Sinica,English Series》2025年第3期908-924,共17页Ruiqing Wang; In this paper, we obtain some sufficient and necessary conditions for indecomposable positive definite integral lattices with discriminants 2, 3, 4 and 5 over Z being additively indecomposable lattices. Using these re...; 关键词：Indecomposable lattice additively indecomposable lattice unimodular lattice adjacent lattice GENUS

Kaiser Criterion in Factor Models: 《Acta Mathematica Sinica,English Series》2025年第2期547-552,共6页Changhu Wang Jianhua Guo Yanyuan Ma Shurong Zheng; Supported by NSFC (Grant Nos. 11631003, 11690012)。; Despite of the wide use of the factor models, the issue of determining the number of factors has not been resolved in the statistics literature. An ad hoc approach is to set the number of factors to be the number of e...; 关键词：Factor model Kaiser criterion positive definite

A Discussion on the Establishment That a Fibre Metric on the Positive Definite Real Inner-Product of a Properly Embedded Smooth Submanifold Be Always Extended to a Riemannian Metric on the Positive Definite Real Inner-Product: 《Advances in Pure Mathematics》2023年第5期207-210,共4页Zhiwei Yan; Let M be a smooth manifold and S ⊆ M a properly embedded smooth submanifold. Suppose that we have a fibre metric on TM|_s i.e. a positive definite real inner-product on T_pM for all p ∈ S, which d...; 关键词：Embedded Smooth Manifold Superplane Riemannian Metric

A Variant Modified Skew-Normal Splitting Iterative Method for Non-Hermitian Positive Definite Linear Systems: 《Numerical Mathematics(Theory,Methods and Applications)》2022年第2期510-529,共20页Rui Li Jun-Feng Yin Zhi-Lin Li; R.Li is funded by the China Scholarship Council(File No.201808330668);the National Natural Science Foundation of China(Grant No.11701221);J.-F.Yin is funded by the National Natural Science Foundation of China(Grant No.11971354);Z.Li is partially supported by a Simon’s grant 63372.; We propose a variant modified skew-normal splitting iterative method to solve a class of large sparse non-Hermitian positive definite linear systems.Applying the preconditioning technique we also construct the precond...; 关键词：Non-Hermitian matrix skew-normal splitting PRECONDITION complex linear system

A Mixed Finite Element Scheme for Biharmonic Equation with Variable Coefficient and von Kármán Equations: 《Communications in Computational Physics》2022年第5期1434-1466,共33页Huangxin Chen Amiya K.Pani Weifeng Qiu; supported by the NSF of China(Grant No.12122115,11771363);supported by IITB Chair Professor’s fund and also partly by a MATRIX Grant No.MTR/201S/000309(SERB,DST,Govt.India);supported by a grant fromthe Research Grants Council of the Hong Kong Special Administrative Region,China(Project No.CityU 11302219).; In this paper,a new mixedfinite element scheme using element-wise stabilization is introduced for the biharmonic equation with variable coefficient on Lipschitz polyhedral domains.The proposed scheme doesn’t involve ...; 关键词：Biharmonic equation von K´arm´an equations mixedfinite element methods element-wise stabilization discrete H2-stability positive definite

Upper bounds for eigenvalues of Cauchy-Hankel tensors: 《Frontiers of Mathematics in China》2021年第4期1023-1041,共19页Wei MEI Qingzhi YANG; the National Natural Science Foundation of China(Grant Nos.11671217,12071234);the Tianjin Graduate Research and Innovation Project(No.2019YJSB040).; We present upper bounds of eigenvalues for finite and infinite dimensional Cauchy-Hankel tensors.It is proved that an m-order infinite dimensional Canchy-Hankel tensor defines a bounded and positively(m-1)-homogeneous...; 关键词：Cauchy-Hankel tensor EIGENVALUES upper bound M-positive definite

Non-Gaussian Random Bi-matrix Models for Bi-free Central Limit Distributions with Positive Definite Covariance Matrices: 《Acta Mathematica Sinica,English Series》2019年第12期1891-1905,共15页Ming Chu GAO; In this paper,we construct random two-faced families of matrices with non-Gaussian entries to approximate a bi-free central limit distribution with a positive definite covariance matrix.We prove that,under modest cond...; 关键词：Bi-free CENTRAL limit distributions NON-GAUSSIAN RANDOM matrices asymptotic bi-freeness

Cholesky-based model averaging for covariancematrix estimation: 《Statistical Theory and Related Fields》2017年第1期48-58,共11页Hao Zheng Kam-Wah Tsui Xiaoning Kang Xinwei Deng; National Science of Foundation of China[grant number NSFC-71531004];NNSF.; Estimation of large covariance matrices is of great importance in multivariate analysis.The modified Cholesky decomposition is a commonly used technique in covariance matrix estimation given a specific order of variab...; 关键词：High-dimension ensemble estimate Cholesky factor positive definite portfolio strategy

POSITIVE DEFINITE AND SEMI-DEFINITE SPLITTING METHODS FOR NON-HERMITIAN POSITIVE DEFINITE LINEAR SYSTEMS被引量：1: 《Journal of Computational Mathematics》2016年第3期300-316,共17页Na Huang Changfeng Ma; In this paper, we further generalize the technique for constructing the normal （or pos- itive definite） and skew-Hermitian splitting iteration method for solving large sparse non- Hermitian positive definite system ...; 关键词：Linear systems Splitting method Non-Hermitian matrix Positive definitematrix Positive semi-definite matrix Convergence analysis.

Criterions for identifying H-tensors被引量：2: 《Frontiers of Mathematics in China》2016年第3期661-678,共18页Ruijuan ZHAO Lei GAO Qilong LIU Yaotang LI; Acknowledgements This work was supported by the National Natural Science Foundation of China （Grant Nos. 11361074, 11326242） and the Science Foundation of the Education Department of Yunnan Province （Grant No. 2013FD002）.; Some new criteria for identifying H-tensors are obtained. As applications, some sufficient conditions of the positive definiteness for an even- order real symmetric tensor are given, as well as a new eigenvalue inclus...; 关键词：H-Tensor real symmetric tensor positive definite eigenvalueinclusion set

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