Results 121 to 130 of about 294,893 (309)
A new positive definite geometric mean of two positive definite matrices
Linear Algebra and its Applications, 1997 The authors introduce a new type of geometric mean of two positive definite (under certain conditions, positive semidefinite) matrices and describe its most important properties. This new concept of a geometric mean is also confronted with the mean introduced by \textit{T. Ando} [Topics on operator inequalities (1978; Zbl 0388.47024)].
Fiedler, Miroslav, Pták, Vlastimil
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Determinantal inequalities of positive definite matrices
, 2016 Let Ai , i = 1, . . . ,m , be positive definite matrices with diagonal blocks A ( j) i , 1 6 j 6 k , where A ( j) 1 , . . . ,A ( j) m are of the same size for each j . We prove the inequality det( m ∑ i=1 A−1 i ) > det( m ∑ i=1 (A (1) i ) −1) · · ·det( m
D. Choi
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Battery Energy, Volume 4, Issue 2, March 2025.Lithium batteries constitute a pivotal component in electric vehicles (EVs) owing to their rechargeability and high‐power output capabilities. ABSTRACT Lithium batteries constitute a pivotal component in electric vehicles (EVs) owing to their rechargeability and high‐power output capabilities.
Mohsen Alizadeh Afroozi +4 more
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Parameterization of the set of positive- definite matrices and an algorithm for its generation [PDF]
Numerical analysis on set elements for positive definite symmetric matrices by ...
Geiss, G. R., Rothschild, D.
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Predicting cervical cancer DNA methylation from genetic data using multivariate CMMP
Canadian Journal of Statistics, EarlyView.Abstract Epigenetic modifications link the environment to gene expression and play a crucial role in tumour development. DNA methylation, in particular, is gaining attention in cancer research, including cervical cancer, the focus of this study.
Hang Zhang +5 more
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Advances in Mechanical Engineering, 2018 In this article, to better implement the modified positive-definite and skew-Hermitian splitting preconditioners studied recently (Numer. Algor., 72 (2016) 243–258) for generalized saddle point problems, a class of inexact modified positive-definite and ...
Qin-Qin Shen, Quan Shi
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Hidden Markov graphical models with state‐dependent generalized hyperbolic distributions
Canadian Journal of Statistics, EarlyView.Abstract In this article, we develop a novel hidden Markov graphical model to investigate time‐varying interconnectedness between different financial markets. To identify conditional correlation structures under varying market conditions and accommodate shape features embedded in financial time series, we rely upon the generalized hyperbolic family of ...
Beatrice Foroni +2 more
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On a Factorisation of Positive Definite Matrices [PDF]
Canadian Mathematical Bulletin, 1963 All our matrices are square with real elements. The Schur product of two n × n matrices B = (bij) and C = (cij) (i, j, = 1, 2, …, n), is an n × n matrix A = (aij) with aij = bij cij, (i, j = 1, 2, …, n).A result due to Schur [1] states that if B and C are symmetric positive definite matrices then so is their Schur product A. A question now a rises. Can
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A partial envelope approach for modelling multivariate spatial‐temporal data
Canadian Journal of Statistics, EarlyView.Abstract In the new era of big data, modelling multivariate spatial‐temporal data is a challenging task due to both the high dimensionality of the features and complex associations among the responses across different locations and time points.
Reisa Widjaja +3 more
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MathematicsFor solving the continuous Sylvester equation, a class of Hermitian and skew-Hermitian based multiplicative splitting iteration methods is presented. We consider two symmetric positive definite splittings for each coefficient matrix of the continuous ...
Mohammad Khorsand Zak +1 more
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