Totally Positive Matrix

A square matrix is said to be totally positive if the determinant of any square submatrix, including the minors, is positive. For instance, any 2×2 matrix whose determinant is positive and whose entries are positive is a totally positive matrix.

See also

Generalized Vandermonde Matrix

This entry contributed by Todd Rowland

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Gantmacher, F. R. The Theory of Matrices, Vol. 2. Providence, RI: AMS Chelsea, 2000.

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Totally Positive Matrix

Cite this as:

Rowland, Todd. "Totally Positive Matrix." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein.

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