Perturbing eigenvalues of nonnegative centrosymmetric matrices

Perturbing non-real eigenvalues of nonnegative real matrices

Accurate Eigenvalues and SVDs of Totally Nonnegative Matrices

Hermitian matrices of three parameters: perturbing coalescing eigenvalues and a numerical method

In this work we consider Hermitian matrix valued functions of 3 (real) parameters, and are interested in generic coalescing points of eigenvalues, conical intersections. Unlike our previous works [7, 4], where we worked directly with the Hermitian problem and monitored variation of the geometric phase to detect conical intersections inside a sphere-like region, here we consider the following co...

Some Properties of Centrosymmetric Matrices and Its

In this paper, some properties of centrosymmetric matrices, which often appear in the construction of orthonormal wavelet basis in wavelet analysis, are investigated. As an application, an algorithm which is tightly related to a so-called Lawton matrix is presented. In this algorithm, about only half of memory units are required and quarter of computational cost is needed by exploiting the prop...

Nonnegative Matrices

For a loopless, acyclic, transitive directed graph S, we study the relations between the predecessor property and the well structured property on S. These properties assure the existence of nonnegativ€ Jordan bases for any nonnegative matrix with singular graph S.