Pentadiagonal matrix

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In linear algebra, a pentadiagonal matrix is a matrix that is nearly diagonal; to be exact, it is a matrix in which the only nonzero entries are on the main diagonal, and the first two diagonals above and below it. So it is of the form

It follows that a pentadiagonal matrix has at most nonzero entries, where n is the size of the matrix. Hence, pentadiagonal matrices are sparse. This makes them useful in numerical analysis.

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This article incorporates material from Pentadiagonal matrix on PlanetMath, which is licensed under the Creative Commons Attribution/Share-Alike License.