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Subdiagonal


The subdiagonal of a square matrix is the set of elements directly under the elements comprising the diagonal. For example, in the following matrix, the diagonal elements are denoted d_i and the subdiagonals are denoted s_i,

 [d_1 a_(12) a_(13) ... a_(1n); s_1 d_2 a_(23) ... a_(2n); a_(31) s_2 d_3 ... a_(3n); | ... ... ... ...; a_(n1) a_(n2) a_(n3) ... d_n].

See also

Diagonal, Jordan Block, Superdiagonal, Tridiagonal Matrix

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References

Faddeeva, V. N. Computational Methods of Linear Algebra. New York: Dover, p. 50, 1958.

Referenced on Wolfram|Alpha

Subdiagonal

Cite this as:

Weisstein, Eric W. "Subdiagonal." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Subdiagonal.html

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