美国科研出版社期刊
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作者:Farid O. Farid
来源:[J].Advances in Linear Algebra & Matrix Theory, 2017, Vol.07 (02), pp.37-65Scientific Research Publishing
摘要:We study the relations between several classes of matrices with variants of the diagonal dominance property, and identify those classes which form pairs of incomparable classes. For an incomparable pair ( X 1, X 2) of classes of matrices with variants of the...
作者:Wasim Audeh
来源:[J].Advances in Linear Algebra & Matrix Theory, 2017, Vol.07 (02), pp.29-36Scientific Research Publishing
摘要:The well-known arithmetic-geometric mean inequality for singular values, due to Bhatia and Kittaneh, is one of the most important singular value inequalities for compact operators. The purpose of this study is to give new singular value inequalities for compact operators and prov...
作者:Jun He , Yanmin Liu , Junkang Tian ...
来源:[J].Advances in Linear Algebra & Matrix Theory, 2017, Vol.07 (03), pp.67-71Scientific Research Publishing
摘要:In this paper, we give a note on the eigenvalue localization sets for tensors. We show that these sets are tighter than those provided by Li et al . (2014) [1] .
作者:Dongjie Gao
来源:[J].Advances in Linear Algebra & Matrix Theory, 2017, Vol.07 (03), pp.72-78Scientific Research Publishing
摘要:Consider the nonlinear matrix equation X - A*X p A - B*X -q B = I (0< p , q< 1). By using the fixed point theorem for mixed monotone operator in a normal cone, we prove that the equation with 0< p , q< 1 always has the unique positive definite solution. Two...
作者:Morteza Seddighin
来源:[J].Advances in Linear Algebra & Matrix Theory, 2018, Vol.08 (01), pp.41-52Scientific Research Publishing
摘要:We will extend some of the Kantorovich-Type inequalities for positive finite dimensional matrices to infinite dimensional normal operators by applying The Two-Nonzero Component Lemma and converting them to an An-tieigenvalue-Type problem.
作者:Hugo Leiva , Raúl Manzanilla
来源:[J].Advances in Linear Algebra & Matrix Theory, 2018, Vol.08 (01), pp.11-17Scientific Research Publishing
摘要:In this paper, we study the existence of solutions for the semilinear equation , where A is a , , and is a nonlinear continuous function. Assuming that the Moore-Penrose inverse A T( AA T)-1 exists ( A denotes the transposed matrix of A ) which ...
作者:Günter Johannes Goerigk
来源:[J].Advances in Linear Algebra & Matrix Theory, 2018, Vol.08 (01), pp.64-86Scientific Research Publishing
摘要:Synchrotron radiation based experimental techniques known as Anomalous Small-Angle X-ray Scattering (ASAXS) provide deep insight into the nanostructure of uncountable material systems in condensed matter research i.e. solid state physics, chemistry, engineering and life scie...
作者:Şerife Büyükköse , Nurşah Mutlu , Gülistan Kaya Gök
来源:[J].Advances in Linear Algebra & Matrix Theory, 2018, Vol.08 (01), pp.53-63Scientific Research Publishing
摘要:A weighted graph is a graph that has a numeric label associated with each edge, called the weight of edge. In many applications, the edge weights are usually represented by nonnegative integers or square matrices. The weighted signless Laplacian matrix of a weighted graph is defi...
作者:Zhensong Ni , Ruikun Wu
来源:[J].Advances in Linear Algebra & Matrix Theory, 2018, Vol.08 (01), pp.33-40Scientific Research Publishing
摘要:This article proposes a new algorithm of quaternion and dual quaternion in matrix form. It applies quaternion in special cases of rotated plane, transforming the sine and cosine of the rotation angle into matrix form, then exporting flat quaternions base in two matrix form. It es...
作者:Zerong Lin , Dongze Liu , Xueying Liu ...
来源:[J].Advances in Linear Algebra & Matrix Theory, 2018, Vol.08 (01), pp.18-32Scientific Research Publishing
摘要:In this paper, we first study the linear regression model and obtain a norm-minimized estimator of the parameter vector by using the g-inverse and the singular value decomposition of matrix X . We then investigate the growth curve model (GCM) and extend the GCM to a generalized...

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