Results 41 to 50 of about 554,064 (360)

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)

open access: yesZhejiang 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)   +1 more
doaj   +1 more source

Asymptotic behavior of solutions of fully nonlinear equations over exterior domains

open access: yesComptes 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
doaj   +1 more source

An algorithm for rescaling a matrix positive definite

open access: yesLinear Algebra and its Applications, 1987
Given a square matrix M, find D diagonal, so that DM is positive definite, i.e. has its field of values in the right half plane. Here it is shown that this problem can be formulated as an infinite set of linear inequalities, and solved by solving a finite sequence of linear programming problems.
openaire   +2 more sources

On The Frobenius Condition Number of Positive Definite Matrices

open access: yesJournal 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   +1 more
doaj   +2 more sources

A New Symmetric Rank One Algorithm for Unconstrained Optimization [PDF]

open access: yesAl-Rafidain Journal of Computer Sciences and Mathematics, 2011
In this paper, a new symmetric rank one for unconstrained optimization problems is presented. This new algorithm is used to solve symmetric and positive definite matrix.
Abbas Al-Bayati, Salah Shareef
doaj   +1 more source

The theory and applications of complex matrix scalings

open access: yesSpecial 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
doaj   +1 more source

Multivariate transient price impact and matrix-valued positive definite functions

open access: yes, 2015
We consider a model for linear transient price impact for multiple assets that takes cross-asset impact into account. Our main goal is to single out properties that need to be imposed on the decay kernel so that the model admits well-behaved optimal ...
Alfonsi, Aurélien   +2 more
core   +3 more sources

The maximal operator of a normal Ornstein--Uhlenbeck semigroup is of weak type (1,1) [PDF]

open access: yes, 2019
Consider a normal Ornstein\u2013Uhlenbeck semigroup in R^n, whose co- variance is given by a positive definite matrix. The drift matrix is assumed to have eigenvalues only in the left half-plane.
Casarino, Valentina   +2 more
core   +3 more sources

On mixed discriminants of positively definite matrix

open access: yesArs Mathematica Contemporanea, 2015
In the paper, some new inequalities for the mixed discriminants of positively definite matrix are established, which are the matrix analogues of inequalities of the well-known mixed volumes function.
Xiao-Yan Li, Chang-Jian Zhao
openaire   +3 more sources

Further extensions of Hartfiel’s determinant inequality to multiple matrices

open access: yesSpecial 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
doaj   +1 more source

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