The eigenvalue problem is one of linear algebra's most essential and valuable problems. It deals with finding a square matrix's special values and vectors that ...
These two multiplications display a unique behavior to other matrix products. Matrices can be considered linear transformation operations performed on a vector. When multiplied by the matrix, these ...
Seems like GE on a 2x2 matrix should be pretty darn fast.... especially if you use scalar * vector type operations.
The spectral properties of special matrices have been widely studied, because of their applications. We focus on permutation matrices over a finite field and, more concretely, we compute the minimal ...
We propose two different strategies to find eigenvalues and eigenvectors of a given, not necessarily Hermitian, matrix \(A\). Our methods apply also to the case of complex eigenvalues, making the ...
Abstract: This article explores the eigenvalues and eigenvectors of Boolean matrices, and applies them to the attractor analysis of Boolean networks (BN s). The eigenvalues and eigenvectors of Boolean ...
Abstract: This letter considers the problem of estimating all the eigenvalues and eigenvectors of an irreducible matrix, corresponding to a strongly connected digraph, in the absence of knowledge on ...
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