%0 Journal Article %1 johnson1973inequality %A Johnson, Charles R %D 1973 %J Linear Algebra and its Applications %K covariance_matrix linear_algebra symmetrization_map %P 13 - 18 %R http://dx.doi.org/10.1016/0024-3795(73)90003-7 %T An inequality for matrices whose symmetric part is positive definite %U http://www.sciencedirect.com/science/article/pii/0024379573900037 %V 6 %X If H(A) = (A + A∗)/2 and c is real, it is determined when cH(A-1 − H(A)-1 is positive definite when A is a matrix for which H(A) is positive definite. Motivation is given by considering the classical adjoint, and the result is applied to A-1A∗ and A2.

@article{johnson1973inequality, abstract = {If H(A) = (A + A∗)/2 and c is real, it is determined when cH(A-1 − H(A)-1 is positive definite when A is a matrix for which H(A) is positive definite. Motivation is given by considering the classical adjoint, and the result is applied to A-1A∗ and A2.}, added-at = {2016-04-10T02:33:40.000+0200}, author = {Johnson, Charles R}, biburl = {https://www.bibsonomy.org/bibtex/27498f33ba29392a7f7f6762eac4536ae/peter.ralph}, doi = {http://dx.doi.org/10.1016/0024-3795(73)90003-7}, interhash = {fcce93d3d8f0742954526db4dd6836cc}, intrahash = {7498f33ba29392a7f7f6762eac4536ae}, issn = {0024-3795}, journal = {Linear Algebra and its Applications}, keywords = {covariance_matrix linear_algebra symmetrization_map}, pages = {13 - 18}, timestamp = {2016-04-10T02:33:40.000+0200}, title = {An inequality for matrices whose symmetric part is positive definite}, url = {http://www.sciencedirect.com/science/article/pii/0024379573900037}, volume = 6, year = 1973 }