TOPICS
Search

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

Explore with Wolfram|Alpha

References

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

Referenced on Wolfram|Alpha

Totally Positive Matrix

Cite this as:

Rowland, Todd. "Totally Positive Matrix." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/TotallyPositiveMatrix.html

Subject classifications