Suppose that A ∈ RN×N is symmetric positive semidefinite with rank K ≤ N . Our goal is to decompose A into K rank-one matrices ∑K k=1 gkg T k where the modes {gk} K k=1 are required to be as sparse as possible. In contrast to eigen decomposition, these sparse modes are not required to be orthogonal. Such a problem arises in random field parametrization where A is the covariance function and is ...

The SPQR RANK package contains routines that calculate the numerical rank of large, sparse, numerically rank-deficient matrices. The routines can also calculate orthonormal bases for numerical null spaces, approximate pseudoinverse solutions to least squares problems involving rankdeficient matrices, and basic solutions to these problems. The algorithms are based on SPQR from SuiteSparseQR (ACM...

Background:  The glenohumeral joint becomes dislocated more than any other major joint because it maintains a wide range of motion and its stability is inherently weak. The most common complication following acute initial shoulder dislocation is recurrent dislocation or chronic instability. Imbalance of strength and range of motion in individuals with anterior dislocation can be a contributing ...

It has been shown that inflammation reduces the effectiveness of sympathetic nerves in the regulation of knee joint blood flow, and the joint vascular- ß adrenoceptors are changed due to acute inflammation from a majority of ß-1 to an equality of ß-1 and ß-2 receptors.. To investigate the role of sympathetic nerves in nerve induced vasoconstriction and changes in joint vascular ß-adrenoceptors ...