Results 261 to 270 of about 6,521,824 (285)

On the positive definiteness of a matrix. I

1991
Let \(A\) be an \(n\times n\) complex positive semi-definite matrix. The author gives some equivalent conditions for \(A\) to be positive semi- definite and obtains a relation between complex positive definite matrices and stable matrices. Moreover, complex generalized positive definite matrices are also discussed.
openaire   +2 more sources

On the Variation of the Determinant of a Positive Definite Matrix

1983
Ostrowski, A. M., Taussky, Olga
openaire   +2 more sources

Enclosing the square root of a positive definite symmetric matrix

International Journal of Computer Mathematics, 1999
Dharmendra Kumar Gupta, C. N. Kaul
openaire   +2 more sources

A Conjectured Positive Definite Matrix

SIAM Review, 1972
openaire   +1 more source

Positive definite solutions of the nonlinear matrix equation X+AHX¯-1A=I

Applied Mathematics and Computation, 2013
James Lam, Bin Zhou
exaly  

Iterative methods for the extremal positive definite solution of the matrix equation

Journal of Computational and Applied Mathematics, 2007
Salah M El-Sayed, Zhen-Yun Peng
exaly  

On positive definite solution of a nonlinear matrix equation

Numerical Linear Algebra With Applications, 2007
Salah M El-Sayed
exaly  

Positive definite solutions of the matrix equationsX±A∗X−qA=Q(q≥1)

Computers and Mathematics With Applications, 2010
Sanyang Liu
exaly  

The general common nonnegative-definite and positive-definite solutions to the matrix equations AXA∗ = BB∗ and CXC∗ = DD∗

Applied Mathematics Letters, 2004
Xian Zhang
exaly  

The general Hermitian nonnegative-definite and positive-definite solutions to the matrix equationGXG *+HYH *=C

Journal of Applied Mathematics and Computing, 2004
Xian Zhang
exaly