In this paper, the notion of equitable partitions (EP) is used to study the eigenvalues of Euclidean distance matrices (EDMs). In particular, EP is used to obtain the characteristic polynomials of ...

Unlock the power of linear algebra! Learn how to solve the 2×2 eigenvalue problem step by step using Python. Perfect for ...

Recurrent neural network attractors have the potential to act as state systems, automata, and turing-complete computers. Therefore, a better understanding of these attractors could shed light on how ...

We give a linear time algorithm to compute the number of eigenvalues of any perturbed Laplacian matrix of a tree in a given real interval. The algorithm can be applied to weighted or unweighted trees.

Abstract: The eigenvalue spectrum of covariance matrices is of central importance to a number of data analysis techniques. Usually, the sample covariance matrix is constructed from a limited number of ...

Understanding eigenvalues and the sum of matrices is crucial for various fields, including data science, machine learning, and engineering. This knowledge allows you to analyze complex systems, solve ...

Department of Molecular Systems Biology, University of Vienna, Vienna, Austria. Mathematical modeling of biochemical systems aims at improving the knowledge about complex regulatory networks. The ...

Abstract: In this correspondence, we derive the relationship between the eigenvalues associated with the matrices of the minimum dimension time-domain and frequency-domain approaches used for ...