Results 31 to 40 of about 43,499 (308)
Positive definite matrix and its proof method
Journal of Physics: Conference Series, 2021 Abstract Advanced algebra is a required course of undergraduate mathematics, which plays a fundamental role in completing the study of other professional courses for students. Matrix theory is an important branch of mathematics, it is not only a basic subject, but also themost practical value.
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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
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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
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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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On matrix valued square integrable positive definite functions [PDF]
Monatshefte für Mathematik, 2015 In this paper, we study matrix valued positive definite functions on a unimodular group. We generalize two important results of Godement on square integrable positive definite functions to matrix valued square integrable positive definite functions.
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Solutions and Improved Perturbation Analysis for the Matrix Equation X-A*X-pA=Q (p>0)
Abstract and Applied Analysis, 2013 The nonlinear matrix equation X-A*X-pA=Q with p>0 is investigated.
Jing Li
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Positive Definite Norm Dependent Matrices In Stochastic Modeling
Demonstratio Mathematica, 2014 Positive definite norm dependent matrices are of interest in stochastic modeling of distance/norm dependent phenomena in nature. An example is the application of geostatistics in geographic information systems or mathematical analysis of varied spatial ...
Kuniewski Sebastian P. +1 more
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Explicit solutions to correlation matrix completion problems, with an application to risk management and insurance [PDF]
Royal Society Open Science, 2018 We derive explicit solutions to the problem of completing a partially specified correlation matrix. Our results apply to several block structures for the unspecified entries that arise in insurance and risk management, where an insurance company with ...
Dan I. Georgescu +2 more
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Current Tracking Adaptive Control of Brushless DC Motors
International Journal of Adaptive Control and Signal Processing, EarlyView.In this paper, the current tracking for Brushless Direct Current motors is approached considering uncertainty in the parameters of the motor's model. An adaptive control scheme to compensate electrical parameters uncertainty is proposed without requiring any knowledge of the mechanical parameters.
Fernanda Ramos‐García +3 more
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Positive definite solutions of some matrix equations
Linear Algebra and its Applications, 2008 The authors investigate some existence questions of positive semi-definite solutions for certain classes of matrix equations known as the generalized Lyapunov equations. The authors use a simple but useful lemma (Lemma 2.1) and properties of Fourier transforms to get sufficient and necessary conditions for certain equations and only sufficient for ...
Cvetković, Aleksandar S. +1 more
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