Results 41 to 50 of about 554,064 (360)
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
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Asymptotic behavior of solutions of fully nonlinear equations over exterior domains
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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An algorithm for rescaling a matrix positive definite
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.
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On The Frobenius Condition Number of Positive Definite Matrices
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
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A New Symmetric Rank One Algorithm for Unconstrained Optimization [PDF]
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
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The theory and applications of complex matrix scalings
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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Multivariate transient price impact and matrix-valued positive definite functions
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
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The maximal operator of a normal Ornstein--Uhlenbeck semigroup is of weak type (1,1) [PDF]
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
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On mixed discriminants of positively definite matrix
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
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Further extensions of Hartfiel’s determinant inequality to multiple matrices
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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