The leading principal minors of are positive.
All real eigenvalues of are positive.
The real part of any eigenvalue of is positive.
There exists a vector with non-negative entries such that .
is non-singular for every non-negative diagonal matrix .
is non-singular for all .
For each nonzero vector , for some .
There is a positive diagonal matrix such that the matrix is positive definite.
The diagonal entries of are positive and is strictly diagonally dominant for some positive diagonal matrix .
M. Fiedler, Special Matrices and Their Applications in Numerical Mathematics, Martinus Nijhoff, Dordrecht, 1986.
R. A. Horn and C. R. Johnson, Topics in Matrix Analysis, Cambridge University Press, Cambridge, 1991.
|Date of creation||2013-03-22 15:24:54|
|Last modified on||2013-03-22 15:24:54|
|Last modified by||kshum (5987)|