Results 111 to 120 of about 38,430 (291)
On linear transformations preserving at least one eigenvalue [PDF]
, 2003 Let F be an algebraically closed field and T : Mn(F) −→ Mn(F)be a linear transformation. In this paper we show that if T preserves atleast one eigenvalue of each matrix, then T preserves all eigenvalues of eachmatrix.
Aryapoor, Masood,, Saieed, Akbari,
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Schwarz symmetric solutions for a quasilinear eigenvalue problem
Electronic Journal of Qualitative Theory of Differential Equations, 2016 In the present paper we extend some recent results of R. Filippucci, P. Pucci and Cs. Varga to continuous functionals. As an application we prove the existence of at least three different solutions of a quasilinear eigenvalue problem, for every $\lambda$
Ildikó-Ilona Mezei, Andrea Éva Molnár
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Advanced Intelligent Discovery, EarlyView.We report a novel interpretation method for deep learning models based on feature extraction and clustering. Applying this method to an atomistic line graph neural network (ALIGNN) model trained on optical absorption spectra of 2,681 inorganic compounds obtained from first‐principles calculations, we successfully identify key factors underlying ...
Akira Takahashi +3 more
wiley +1 more source
Rosetak Document 4: Rank Degeneracies and Least Square Problems [PDF]
In this paper we shall be concerned with the following problem. Let A be an m x n matrix with m being greater than or equal to n, and suppose that A is near (in a sense to be made precise later) a matrix B whose rank is less than n. Can one find a set of
Virginia Klema +2 more
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Abstract and Applied Analysis, 2012 We investigate the existence of at least two positive solutions to eigenvalue problems of fractional differential equations with sign changing nonlinearities in more generalized boundary conditions.
Weihua Jiang, Jiqing Qiu, Weiwei Guo
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Advanced Intelligent Systems, Volume 7, Issue 3, March 2025.Quadrotor unmanned aerial vehicle control is critical to maintain flight safety and efficiency, especially when facing external disturbances and model uncertainties. This article presents a robust reinforcement learning control scheme to deal with these challenges.
Yu Cai +3 more
wiley +1 more source
The Solutions to Matrix Equation AX=B with Some Constraints
Journal of Applied Mathematics, 2014 Let P be a given Hermitian matrix satisfying P2=I. Using the eigenvalue decomposition of P, we consider the least squares solutions to the matrix equation AX=B with the constraints PX=XP and X*=X.
Chang-Zhou Dong, Yu-Ping Zhang
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On least eigenvalues and least eigenvectors of real symmetric matrices and graphs
Linear Algebra and its Applications, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xing, Rundan, Zhou, Bo
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Advanced Intelligent Systems, Volume 7, Issue 3, March 2025.Magnetic soft robots offer promise in biomedicine due to their wireless actuation and rapid response, but current fabrication methods are complex and have limited cellular compatibility. A new, contactless bioassembly strategy using hydrodynamic instabilities is introduced, enabling customizable, centimeter‐scale robots.
Wei Gao +5 more
wiley +1 more source
A surprising property of the least eigenvalue of a graph [PDF]
, 1982 Let λ(G) be the least eigenvalue of a graph G. A real number r has the induced subgraph property provided λ(G)
Doob, Michael
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