- Arrowhead matrix
In the mathematical field of
linear algebra , an arrowhead matrix is a square matrix containing zeros in all entries except for the first row, first column, and main diagonal. [cite book |author=Stewart, G. W. |title=Matrix Algorithms |publisher=Society for Industrial and Applied Mathematics |location=Philadelphia |year=1998 |pages=204 |isbn=0-89871-503-2] In other words, the matrix has the form:Arrowhead matrices are used in some algorithms for finding of
eigenvalue s andeigenvector s. [M. Gu and S. C. Eisenstat (1995), "A divide-and-conquer algorithm for the symmetric tridiagonal eigenproblem," "SIAM J. Matrix Anal. Appl.", 16: 172-191.]References
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