Results 41 to 50 of about 564,115 (361)
Evaluating functions of positive-definite matrices using colored noise thermostats [PDF]
, 2014 Many applications in computational science require computing the elements of a function of a large matrix. A commonly used approach is based on the the evaluation of the eigenvalue decomposition, a task that, in general, involves a computing time that ...
Ceriotti, Michele +3 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
doaj +1 more source
Positive Definiteness via Off-diagonal Scaling of a Symmetric Indefinite Matrix [PDF]
Psychometrika, 2011 Indefinite symmetric matrices that are estimates of positive-definite population matrices occur in a variety of contexts such as correlation matrices computed from pairwise present missing data and multinormal based methods for discretized variables. This note describes a methodology for scaling selected off-diagonal rows and columns of such a matrix ...
Bentler, Peter M., Yuan, Ke-Hai
openaire +6 more sources
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 +1 more
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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
doaj +1 more source
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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A New Symmetric Rank One Algorithm for Unconstrained Optimization [PDF]
Al-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
Rank-preserving geometric means of positive semi-definite matrices
, 2012 The generalization of the geometric mean of positive scalars to positive definite matrices has attracted considerable attention since the seminal work of Ando.
Bonnabel, Silvere +2 more
core +1 more source
The maximal operator of a normal Ornstein--Uhlenbeck semigroup is of weak type (1,1) [PDF]
, 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
Structural Equation Modeling: A Multidisciplinary Journal, 2021 Least-squares exploratory factor analysis based on tetrachoric/polychoric correlations is a robust, defensible and widely used approach for performing item analysis, especially in the first stages of scale development. A relatively common problem in this
U. Lorenzo-Seva, P. J. Ferrando
semanticscholar +1 more source