Video shot segmentation using singular value decomposition

Let $A$ be a matrix with known singular values and left and/or right singular vectors, and let $A'$ be the matrix obtained by deleting a row from $A$. We present efficient and stable algorithms for computing the singular values and left and/or right ...

The spectral decomposition of a symmetric matrix A with small off-diagonal and distinct diagonal elements can be approximated using a direct scheme of R. Davies and Modi (Linear Algebra Appl. 77 (1986) 61). In this paper a generalization of this method ...

In this paper we introduce a new decomposition called the pivoted QLP decomposition. It is computed by applying pivoted orthogonal triangularization to the columns of the matrix X in question to get an upper triangular factor R and then applying the same ...