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The Diagonalizable Nonnegative Inverse Eigenvalue Problem
Special Matrices, 2018 In this articlewe provide some lists of real numberswhich can be realized as the spectra of nonnegative diagonalizable matrices but which are not the spectra of nonnegative symmetric matrices.
Cronin Anthony G, Laffey Thomas J.
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HUBO formulations for solving the eigenvalue problem
Results in Control and Optimization, 2023 Solving the eigenvalue problem is particularly important in almost all fields of science and engineering. With the development of quantum computers, multiple algorithms have been proposed for this purpose.
Kyungtaek Jun, Hyunju Lee
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The octonionic eigenvalue problem
Advances in Applied Clifford Algebras, 1998 plain TeX (uses AMS fonts), 18 pages, 1 PS figure included with ...
Dray, Tevian, Manogue, Corinne A.
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Electronic Journal of Qualitative Theory of Differential Equations, 2019 This work deals with the interior transmission eigenvalue problem: $y'' + {k^2}\eta \left( r \right)y = 0$ with boundary conditions ${y\left( 0 \right) = 0 = y'\left( 1 \right)\frac{{\sin k}}{k} - y\left( 1 \right)\cos k},$ where the function $\eta(r ...
Xiao-Chuan Xu +3 more
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Nonlinear elliptic equation with nonlocal integral boundary condition depending on two parameters
Mathematical Modelling and Analysis, 2022 In this paper, the two-dimensional nonlinear elliptic equation with the boundary integral condition depending on two parameters is solved by finite difference method.
Kristina Pupalaigė +2 more
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Some notes on conformable fractional Sturm–Liouville problems
Boundary Value Problems, 2021 The conformable fractional eigenvalue problem − D x α D x α y + q ( x ) y = λ ρ ( x ) y $$\begin{aligned} -D_{x}^{\alpha }D_{x}^{\alpha }y+q(x)y=\lambda \rho (x)y \end{aligned}$$ is considered.
Wei-Chuan Wang
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A linear eigenvalue algorithm for the nonlinear eigenvalue problem [PDF]
Numerische Mathematik, 2012 A nonlinear matrix eigenvalue problem (NMEP) \(T(\lambda)x=0\) is transformed without loss of generality into a standard form \(\lambda B(\lambda)x=x\) (\(T\) and \(B\) analytic in \(\Omega\subset\mathbb{C}\)). This is then transformed into a linear operator eigenvalue problem (LOEP) of the form \(\lambda\mathcal{B}\varphi=\varphi\) (\(\varphi\in C_ ...
Elias Jarlebring +2 more
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Hard‐Magnetic Soft Millirobots in Underactuated Systems
Advanced Robotics Research, EarlyView.This review provides a comprehensive overview of hard‐magnetic soft millirobots in underactuated systems. It examines key advances in structural design, physics‐informed modeling, and control strategies, while highlighting the interplay among these domains.
Qiong Wang +4 more
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Solving Overdetermined Eigenvalue Problems [PDF]
SIAM Journal on Scientific Computing, 2013 We propose a new interpretation of the generalized overdetermined eigenvalue problem $\left({\bf A} - \lambda {\bf B}\right){\bf v} \approx 0$ for two $m\times n$ ($m > n$) matrices ${\bf A}$ and ${\bf B}$, its stability analysis, and an efficient algorithm for solving it.
Saptarshi Das, Arnold Neumaier
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FEAST for Differential Eigenvalue Problems [PDF]
SIAM Journal on Numerical Analysis, 2020 Expanded discussion for clarity in several places, revised statement of theorem 5.2 for ...
Andrew J. Horning, Alex Townsend
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