Results 21 to 30 of about 43,930 (262)

Sebuah Telaah Elips dan Lingkaran Melalui Sebuah Pendekatan Aljabar Matriks

Cauchy: Jurnal Matematika Murni dan Aplikasi, 2010
In this article, ellipse and circle will be learnt in depth via matrix algebra approach. The discussion of the both is started from their classic definition continued by surveying ellipse in matrix form.
Rahmat Sagara
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Asymptotic behavior of solutions of fully nonlinear equations over exterior domains

Comptes Rendus. Mathématique, 2021
In this paper, we consider the asymptotic behavior at infinity of solutions of a class of fully nonlinear elliptic equations $F(D^2u)=f(x)$ over exterior domains, where the Hessian matrix $(D^2u)$ tends to some symmetric positive definite matrix at ...
Jia, Xiaobiao
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Some trace inequalities for matrix means

Journal of Inequalities and Applications, 2016
In this short note, we present some trace inequalities for matrix means. Our results are generalizations of the ones shown by Bhatia, Lim, and Yamazaki.
Limin Zou, Yang Peng
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一类矩阵特征值的不等式及其在Fischer不等式证明中的应用(An eigenvalue inequality of a class of matrices and its applications in proving the Fischer inequality)

Zhejiang Daxue xuebao. Lixue ban, 2017
The Hadamard inequality and Fischer inequality play an important role in the matrix study. Many articles have addressed these inequalities providing new proofs, noteworthy extensions, generalizations, refinements, counterparts and applications.
ZHANGHuamin(张华民), YINHongcai(殷红彩)   +1 more
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Positive definite solution of two kinds of nonlinear matrix equations [PDF]

Surveys in Mathematics and its Applications, 2009
Based on the elegant properties of the Thompson metric, we prove that the following two kinds of nonlinear matrix equations X=Σi=1m  Ai* XδiAi and X=Σi=1m (Ai* XAi)δi ...
Fujian Duan, Zhenyun Peng, Xuefeng Duan
doaj  

On The Frobenius Condition Number of Positive Definite Matrices

Journal of Inequalities and Applications, 2010
We present some lower bounds for the Frobenius condition number of a positive definite matrix depending on trace, determinant, and Frobenius norm of a positive definite matrix and compare these results with other results. Also, we give a relation for the
Ramazan Türkmen, Zübeyde Ulukök   +1 more
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Notes and counterexamples on positive (semi) definite properties of some matrix products

Ain Shams Engineering Journal, 2018
In the present paper, we give some notes and counterexamples to show that the positive (semi) definite property of the Khatri-Rao and Tracy-Singh products of partitioned matrices are in general incorrect and show also that the matrix triangle inequality ...
Zeyad Al-Zhour
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Further extensions of Hartfiel’s determinant inequality to multiple matrices

Special Matrices, 2021
Following the recent work of Zheng et al., in this paper, we first present a new extension Hartfiel’s determinant inequality to multiple positive definite matrices, and then we extend the result to a larger class of matrices, namely, matrices whose ...
Luo Wenhui
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A proof for the positive definiteness of the Jaccard index matrix

International Journal of Approximate Reasoning, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mathieu Bouchard, Anne-Laure Jousselme, Pierre-Emmanuel Doré   +2 more
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The theory and applications of complex matrix scalings

Special Matrices, 2014
We generalize the theory of positive diagonal scalings of real positive definite matrices to complex diagonal scalings of complex positive definite matrices.
Pereira Rajesh, Boneng Joanna
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