Results 71 to 80 of about 49,656 (213)
Some eigenvalue inequalities for positive semidefinite matrix power products
Linear Algebra and its Applications, 1993 The authors study the eigenvalues of positive semidefinite matrix power products and prove some inequalities, which are mostly in terms of majorization. In particular, if \(A,B\geq 0\), \(\beta>\alpha>0\) it is proved that \(\log\lambda^{1/\alpha}(A^ \alpha B^ \alpha)\prec\log\lambda^{1/\beta}(A^ \beta B^ \beta)\).
Wang, Bo-Ying, Gong, Ming-Peng
openaire +2 more sources
The role of identification in data‐driven policy iteration: A system theoretic study
International Journal of Robust and Nonlinear Control, EarlyView.Abstract The goal of this article is to study fundamental mechanisms behind so‐called indirect and direct data‐driven control for unknown systems. Specifically, we consider policy iteration applied to the linear quadratic regulator problem. Two iterative procedures, where data collected from the system are repeatedly used to compute new estimates of ...
Bowen Song, Andrea Iannelli
wiley +1 more source
Fixed-Rank Approximation of a Positive-Semidefinite Matrix from Streaming Data [PDF]
, 2017 Several important applications, such as streaming PCA and semidefinite programming, involve a large-scale positive-semidefinite (psd) matrix that is presented as a sequence of linear updates.
Cevher, Volkan +3 more
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Inequalities for selected eigenvalues of the product of matrices
, 2019 The product of a Hermitian matrix and a positive semidefinite matrix has only real eigenvalues.
Xi, Bo-Yan, Zhang, Fuzhen
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American Journal of Agricultural Economics, EarlyView.Abstract Alcohol policy liberalization is a contentious issue in the United States, including debates over whether grocery stores should be allowed to sell wine. This issue reflects a dilemma between accommodating consumer convenience, promoting wine industry growth, and generating tax revenue, versus concerns about potential harm to liquor stores ...
Jiayu Sun +3 more
wiley +1 more source
On the asymptotic Bieberbach conjecture
International Journal of Mathematics and Mathematical Sciences, 1982 The set S consists of complex functions f, univalent in the open unit disk, with f(0)=f'(0)-1=0. We use the asymptotic behavior of the positive semidefinite FitzGerald matrix to show that there is an absolute constant N0 such that, for any f(z)=z+?n ...
Mauriso Alves, Armando J. P. Cavalcante
doaj +1 more source
Moore-Penrose inverse of a hollow symmetric matrix and a predistance matrix
Special Matrices, 2016 By a hollow symmetric matrix we mean a symmetric matrix with zero diagonal elements. The notion contains those of predistance matrix and Euclidean distance matrix as its special cases.
Kurata Hiroshi, Bapat Ravindra B.
doaj +1 more source
Weakly Coupled B-Type Kadomtsev-Petviashvili Equation: Lump and Rational Solutions
Advances in Mathematical Physics, 2020 Through the method of ZN-KP hierarchy, we propose a new (3+1)-dimensional weakly coupled B-KP equation. Based on the bilinear form, we obtain the lump and rational solutions to the dimensionally reduced cases by constructing a symmetric positive ...
Na Xiong, Wen-Tao Li, Biao Li
doaj +1 more source
Computing Skinning Weights via Convex Duality
Computer Graphics Forum, EarlyView.We present an alternate optimization method to compute bounded biharmonic skinning weights. Our method relies on a dual formulation, which can be optimized with a nonnegative linear least squares setup. Abstract We study the problem of optimising for skinning weights through the lens of convex duality.
J. Solomon, O. Stein
wiley +1 more source
Interiors of completely positive cones [PDF]
, 2014 A symmetric matrix $A$ is completely positive (CP) if there exists an entrywise nonnegative matrix $B$ such that $A = BB^T$. We characterize the interior of the CP cone.
Fan, Jinyan, Zhou, Anwa
core