given four complex matrices a, b, c and d where a 2 cnn and d 2 cmm andlet the matrix(a bc d)be a normal matrix and assume that  is a given complex number that is not eigenvalue of matrix a. we present a method to calculate the distance norm (with respect to 2-norm) from d to the set of matrices x 2 cmm such that,  be a multiple eigenvalue of matrix(a bc x). we also nd the nearest matrix ...

background and aims: prostate cancer is the second most common cancer in men worldwide in men. matrix metalloproteinase 2 (mmp2) has a role in the invasion and destruction of the basement membrane and the extra-cellular matrix and facilitating the process of tumor cell invasion. the present study was conducted to compare the expression of mmp2 gene in prostate cancer (pca) and benign prostatic ...

Abstract Low-rank matrix completion is a hot topic in the field of machine learning. It widely used image processing, recommendation systems and subspace clustering. However, traditional method uses nuclear norm to approximate rank function, which leads only suboptimal solution. Inspired by closed-form formulation $$L_{2/3}$$ ...