On the perturbation estimates of the maximal solution for the matrix equation X+ATX−1A=P
Journal of the Egyptian Mathematical Society, 2016 In this paper we investigate the nonlinear matrix equation X+ATX−1A=P, for the existence of positive definite solutions. Bounds for ∥XL−1∥ and ∥X−1∥ are derived where XL is the maximal solution and X is any other positive definite solution of this matrix
Naglaa M. El-Shazly
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The Bell bases decomposition of a general N-qubit state Teleportation through a non-maximally entangled quantum channel [PDF]
arXiv, 2007 We propose a method of the Bell bases decomposition to teleport an arbitrary unknown N-qubit state through a nonmaximally entangled quantum channel, and give the universal decomposition matrix of N-qubit. Using the decomposition matrix, we can easily obtain the collapsed state at the receiver site.
arxiv
Inversion of symmetric coefficient matrix of positive-definite quadratic form [PDF]
, 1957 Thomas C. Doyle
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A Randomized Algorithm for Approximating the Log Determinant of a Symmetric Positive Definite Matrix [PDF]
arXiv.org, 2015 Christos Boutsidis +3 more
semanticscholar +1 more source
On Positive Definite Solutions Of Quaternionic Matrix Equations
, 2010 The real representation of the quaternionic matrix is definited and studied. The relations between the positive (semi)define quaternionic matrix and its real representation matrix are presented. By means of the real representation, the relation between the positive (semi)definite solutions of quaternionic matrix equations and those of corresponding ...
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Asian Journal of Control, EarlyView.Abstract This paper studies a formation control problem with distance constraints for nonlinear agents with uncertainties. Controlling an edge is assigned to only one of its incident agents. Directed graph theory is used to model the desired formation topology.
Reza Babazadeh, Rastko R. Selmic
wiley +1 more source
Monocular visual servo control of a quadcopter for crossing windows, doors, and corridors
Asian Journal of Control, EarlyView.Abstract This paper proposes a sequential visual servo control scheme for quadcopters, where the main goal is to drive a quadcopter to a desired pose while crossing windows, doors, or corridors using only visual feedback. This control scheme is composed of two stages that act in sequence: the approaching and pose regulation phases.
Carlos A. Toro‐Arcila +2 more
wiley +1 more source
Extensions of the Eneström-Kakeya theorem for matrix polynomials
Special Matrices, 2019 The classical Eneström-Kakeya theorem establishes explicit upper and lower bounds on the zeros of a polynomial with positive coefficients and has been generalized for positive definite matrix polynomials by several authors.
Melman A.
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Iterative Methods for Linear Equations with Symmetric Positive Definite Matrix [PDF]
, 1961 David W. Martin
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Hermite Positive Definite Solution of a Class of Matrix Equation
Procedia Engineering, 2011 AbstractIn this paper, the Hermite positive definite solutions of the nonlinear matrix equation XS+A*X−tA=Q are discussed. A sufficient condition and two necessary and sufficient conditions for the existence of Hermite positive definite solutions for this equation are derived.
Panpan Liu, Shugong Zhang, Qingchun Li
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