Results 31 to 40 of about 429,306 (281)

Estimating the largest eigenvalue of a positive definite matrix [PDF]

Mathematics of Computation, 1979
The power method for computing the dominant eigenvector of a positive definite matrix will converge slowly when the dominant eigenvalue is poorly separated from the next largest eigenvalue. In this note it is shown that in spite of this slow convergence, the Rayleigh quotient will often give a good approximation to the dominant eigenvalue after a very ...
O'Leary, Dianne P., Stewart, G. W., Vandergraft, James S.   +2 more
openaire   +1 more source

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

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

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

FRACTIONAL HAMILTONIAN SYSTEMS WITH POSITIVE SEMI-DEFINITE MATRIX

Journal of Applied Analysis & Computation, 2019
Summary: We study the existence of solutions for the following fractional Hamiltonian systems \[ \begin{cases} -_t D^{\alpha}_{\infty}(_{-\infty}D^{\alpha}_tu(t))-\lambda L(t)u(t)+\nabla W(t,u(t))=0, \\ u\in H^{\alpha}(\mathbb{R},\mathbb{R}^n), \tag{\(\text{FHS}_\lambda\)} \end{cases} \] where \(\alpha\in (1/2,1), t\in \mathbb{R}, u\in \mathbb{R}^n ...
Ledesma, Cesar Enrique Torres, Zhang, Ziheng, Mendez, Amado   +2 more
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An improved sufficient condition for absence of limit cycles in digital filters [PDF]

, 1987
It is known that if the state transition matrix A of a digital filter structure is such that D - A^{dagger}DA is positive definite for some diagonal matrix D of positive elements, then all zero-input limit cycles can be suppressed.
Liu, V., Vaidyanathan, P. P.
core   +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
doaj   +1 more source

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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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

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., Misiewicz Jolanta K.   +1 more
doaj   +1 more source