Results 161 to 170 of about 5,018 (185)

Some equalities and inequalities for covariance matrices of estimators under linear model

Statistical Papers, 2015
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exaly   +2 more sources

Mean inequalities for sector matrices involving positive linear maps

Positivity, 2022
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Malekinejad, Somayeh, Khosravi, Maryam, Sheikhhosseini, Alemeh   +2 more
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PMatrices and Solutions to a Class of Linear Inequalities

SIAM Journal on Applied Mathematics, 1973
The main results of the paper are on pairs of real $n \times n$ matrices with all off diagonal elements nonpositive. Necessary and sufficient conditions are established for the following two important properties, proved to be equivalent, to hold for a pair $(A,B)$ : (i) there exists a solution $\lambda \in R^n $ to the set of linear inequalities ...
Mitra, Debasis, So, Hing C.
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Linear inequalities for density matrices: III

International Journal of Quantum Chemistry, 2002
AbstractDiagonal linear inequalities are derived for three‐ and four‐body reduced density matrices. These give a different insight into the previous derivations of linear inequalities for the two‐body reduced density matrix. © 2002 Wiley Periodicals, Inc.
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Matrices with Positive Definite Hermitian Part: Inequalities and Linear Systems

SIAM Journal on Matrix Analysis and Applications, 1992
Soit \(A\) une matrice carrée \(H(A)\equiv(A+A^*)/2\). On montre que \(f(A)=(H(A^{-1}))^{-1}\) est une fonction convexe. L'auteur démontre plusieurs inégalités faisant intervenir notamment la quantité \(\kappa_ H(A)=\| H(A^{-1})^{-1}\|_ 2\| H(A)^{- 1}\|_ 2\).
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Linear Inequalities and the Analysis of Multi-Attribute Value Matrices

1999
Barron and Barrett, 1996(b) demonstrate empirically that a surrogate weight vector, rank order centroid (ROC) weights, based only on ranked swing weights, is surprisingly efficacious in general in selecting a best multi-attribute alternative. An Excel-based simulation, EMAR, allows one to assess the applicability of the general result to any particular
F. Hutton Barron, Bruce E. Barrett
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Synthesis of controllers on the basis of a solution of linear matrix inequalities and a search algorithm for reciprocal matrices

Automation and Remote Control, 2005
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Balandin, D. V., Kogan, M. M.
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Using linear matrix inequality for the guaranteed cost control with arbitrary rank uncertainty matrices

Proceedings of the 1998 American Control Conference. ACC (IEEE Cat. No.98CH36207), 1998
We consider the guaranteed cost control problem (GCCP) for systems with structured uncertainties. We present an approach to the GCCP for systems with arbitrary rank uncertainty matrices in which an upper bound for the cost is minimised by solving an optimisation problem with linear matrix inequalities (LMIs).
E.F. Costa, V.A. Oliveira
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Affine and Linear Functions and Transformations (Matrices), Linear Economic Models, Systems of Linear Equations and Inequalities

2016
In this chapter we discuss the notions of proportionality, linear and affine functions, and homogeneity. The matrix algebra is introduced to explain some linear, economic models (Leontieff, von Neumann). We discuss systems of linear equations and their solution in full detail.
Wolfgang Eichhorn, Winfried Gleißner
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Stability Matrices and the Solvability of Certain Systems of Linear Inequalities^†

Linear and Multilinear Algebra, 1974
Let A be a real n × nmatrix with non-negative non-diagonal elements aij(I ≠ j). Ais called a stability matrix if and only if all of its eigenvalues have strictly negative real parts. It is proved that A is a stability matrix if and only if the system Ax > 0, x > 0has no non-trivial solution. Further, one and only one of the systems Ax 0and Ax > 0, x >
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