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 ...

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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 ...

An embedding i↦pi∈Rd of the vertices of a graph G is called universally completable if the following holds: For any other embedding i↦qi∈Rk satisfying qiTqj=piTpj for i=j and i adjacent to j, there ...

Many fields of science and engineering require finding eigenvalues and eigenvectors of large matrices. The solutions can represent oscillatory modes of a bridge, a violin, the disposition of electrons ...

Abstract: The linear vector-valued channel x |/spl rarr/ /spl Pi//sub n/ M/sub n/x + z with z and M/sub n/ denoting additive white Gaussian noise and independent random matrices, respectively, is ...

Abstract: An on-line diagnosis of three-phase induction motor using an automatic algorithm based on Park's vector approach is presented. This algorithm uses the eigenvalue approach and allows an ...