Totally positive matrix
Encyclopedia
In mathematics, a totally positive matrix is a matrix
in which the determinant
of every square submatrix is positive. For example, a Vandermonde matrix whose nodes are positive and increasing is a totally positive matrix.
Matrix (mathematics)
In mathematics, a matrix is a rectangular array of numbers, symbols, or expressions. The individual items in a matrix are called its elements or entries. An example of a matrix with six elements isMatrices of the same size can be added or subtracted element by element...
in which the determinant
Determinant
In linear algebra, the determinant is a value associated with a square matrix. It can be computed from the entries of the matrix by a specific arithmetic expression, while other ways to determine its value exist as well...
of every square submatrix is positive. For example, a Vandermonde matrix whose nodes are positive and increasing is a totally positive matrix.