Results 101 to 110 of about 54,917 (203)

Real factorization of positive semidefinite matrix polynomials

Linear Algebra and its Applications
Suppose $Q(x)$ is a real $n\times n$ regular symmetric positive semidefinite matrix polynomial. Then it can be factored as $$Q(x) = G(x)^TG(x),$$ where $G(x)$ is a real $n\times n$ matrix polynomial with degree half that of $Q(x)$ if and only if $\det(Q(x))$ is the square of a nonzero real polynomial.
Sarah Gift, Hugo J. Woerdeman
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Data dissemination scheduling algorithm for V2R/V2V in multi-channel VANET

Tongxin xuebao, 2019
Considering that the data dissemination in multi-channel VANET (vehicular ad hoc network),a cooperative data dissemination scheduling algorithm was introduced for V2R(vehicle to roadside unit) and V2V(vehicle to vehicle).The algorithm created initial ...
Xin PENG, Qingyong DENG, Shujuan TIAN, Haolin LIU, Wenwu XIE, Renfa LI   +5 more
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On the Solution of a Nonlinear Semidefinite Program Arising in Discrete-Time Feedback Control Design

Journal of Applied Mathematics, 2014
A sequential quadratic programming method with line search is analyzed and studied for finding the local solution of a nonlinear semidefinite programming problem resulting from the discrete-time output feedback problem.
El-Sayed M. E. Mostafa
doaj   +1 more source

Products of positive semidefinite matrices

Linear Algebra and its Applications, 1988
The author proves that a matrix T is the product of finitely many nonnegative matrices if and only if det(T)\(\geq 0\) and in this case, five such matrices are sufficient.
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Advanced p-numerical radius bounds through partitioned matrix methodologies

Results in Applied Mathematics
The present investigation develops novel upper limits for the p-numerical radius of linear transformations through sophisticated partitioned matrix methodologies.
Raja’a Al-Naimi
doaj   +1 more source

On polyhedral approximations of the positive semidefinite cone

, 2018
Let $D$ be the set of $n\times n$ positive semidefinite matrices of trace equal to one, also known as the set of density matrices. We prove two results on the hardness of approximating $D$ with polytopes. First, we show that if $0 < \epsilon < 1$ and $A$
Fawzi, Hamza
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Disjoint sections of positive semidefinite matrices and their applications in linear statistical models

Special Matrices
Given matrices AA and BB of the same order, AA is called a section of BB if R(A)∩R(B−A)={0}{\mathscr{R}}\left(A)\cap {\mathscr{R}}\left(B-A)=\left\{0\right\} and R(AT)∩R((B−A)T)={0}{\mathscr{R}}\left({A}^{T})\cap {\mathscr{R}}\left({\left(B-A)}^{T ...
Eagambaram N.
doaj   +1 more source

Tropicalizing the positive semidefinite cone

Proceedings of the American Mathematical Society, 2014
We study the tropicalization of the cone of positive semidefinite matrices over the ordered field of real Puiseux series. The tropical PSD matrices form the normal cone of the Newton polytope of the symmetric determinant at the vertex corresponding to the product of diagonal entries. We find generators and defining inequalities of the cone.
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Positive Semidefinite Metric Learning with Boosting

, 2009
The learning of appropriate distance metrics is a critical problem in image classification and retrieval. In this work, we propose a boosting-based technique, termed \BoostMetric, for learning a Mahalanobis distance metric.
Hengel, Anton van den, Kim, Junae, Shen, Chunhua, Wang, Lei   +3 more
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Functions Operating on Positive Semidefinite Quaternionic Matrices

Monatshefte f�r Mathematik, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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