Results 51 to 60 of about 41,020 (249)
On permanents of positive semidefinite matrices
AbstractIt is shown in an elementary way that if A and B are positive semidefinite matrices, then per(A + B) ⩾ per A + per B. The conditions under which equality may occur in this inequality are completely described, and some consequences are given.
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Full‐order observer design for quadratic port‐controlled Hamiltonian systems
Abstract The full‐order observer design problem for a particular class of port‐controlled Hamiltonian systems is approached in this paper. The proposed full‐order observer scheme belongs to the structure preserving class of dynamic estimators as it preserves the natural stability properties of the approached class of systems that are useful for the ...
Michael Rojas+2 more
wiley +1 more source
Trace-Inequalities and Matrix-Convex Functions
A real-valued continuous function f(t) on an interval (α,β) gives rise to a map X↦f(X) via functional calculus from the convex set of n×n Hermitian matrices all of whose eigenvalues belong to the interval. Since the subpace of
Tsuyoshi Ando
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A Parallel Approximation Algorithm for Positive Semidefinite Programming
Positive semidefinite programs are an important subclass of semidefinite programs in which all matrices involved in the specification of the problem are positive semidefinite and all scalars involved are non-negative.
Jain, Rahul, Yao, Penghui
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Matrices with high completely positive semidefinite rank
A real symmetric matrix $M$ is completely positive semidefinite if it admits a Gram representation by (Hermitian) positive semidefinite matrices of any size $d$. The smallest such $d$ is called the (complex) completely positive semidefinite rank of $M$, and it is an open question whether there exists an upper bound on this number as a function of the ...
Monique Laurent+2 more
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Abstract Modern longitudinal data from wearable devices consist of biological signals at high‐frequency time points. Distributed statistical methods have emerged as a powerful tool to overcome the computational burden of estimation and inference with large data, but methodology for distributed functional regression remains limited.
Cole Manschot, Emily C. Hector
wiley +1 more source
ABSTRACT Modern societies depend on various lifeline networks such as transportation, electricity, and gas distribution systems, which are vulnerable to seismic events. Although numerous analytical and simulation‐based methods have been developed for efficient seismic system reliability analysis (SRA), dealing with high‐dimensional events arising from ...
Dongkyu Lee, Ji‐Eun Byun, Junho Song
wiley +1 more source
Heinz均值凸性的一个注记(A note on the convexity of the Heinz means)
Recently, KITTANEH obtained an improvement of the Heinz inequality for all unitarily invariant norms. In this note, we obtain a refinement of KITTANEH's result. We shall conclude this paper with some numerical examples.
ZOULi-min(邹黎敏)
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Advances on the Bessis-Moussa-Villani Trace Conjecture [PDF]
A long-standing conjecture asserts that the polynomial \[p(t) = \text{Tr}[(A+tB)^m]\] has nonnegative coefficients whenever $m$ is a positive integer and $A$ and $B$ are any two $n \times n$ positive semidefinite Hermitian matrices. The conjecture arises
Hillar, Christopher J.
core +6 more sources
Space‐Time Smoothness and Parsimony in Covariance Functions
ABSTRACT This paper challenges the trade off between computational efficiency and statistical accuracy within the framework of Gaussian space‐time processes. Under such a framework, the space‐time dependence is completely specified through the space‐time covariance function.
Tarik Faouzi+2 more
wiley +1 more source