We study a Riemannian metric on the cone of symmetric positive-definite matrices obtained from Hessian power potential function (1?det?(X)?)/?. give explicit expressions for geodesics and distance function, under suitable conditions. In scalar case, geodesic between two positive numbers coincides with weighted mean, while size at least it yields notion mean different ones given in literature. A...

Singular value decomposition is a widely used tool for dimension reduction in multivariate analysis. However, when used for statistical estimation in high-dimensional low rank matrix models, singular vectors of the noise-corrupted matrix are inconsistent for their counterparts of the true mean matrix. In this talk, we suppose the true singular vectors have sparse representations in a certain ba...

In this paper linear parallel interference cancellation (PIC) schemes are described and analysed using matrix algebra. It is shown that the linear PIC, whether conventional or weighted, can be seen as a linear matrix filter applied directly to the chip-matched filtered received signal vector. An expression for the exact bit error rate is obtained and conditions on the eigenvalues of the code co...