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Persistent link: https://www.econbiz.de/10012926025
An enlargement of the domain of multiindex regular Hausdorff matrices is constructed. Its elements can be viewed as multiindex and multidiagonal regular Hausdorff-like matrices. The above matrices are subordinated to sequences of finite variation functions on [0,1] satisfying a boundary...
Persistent link: https://www.econbiz.de/10012919439
Earlier results expressing multivariate subresultants as ratios of two subdeterminants of the Macaulay matrix are extended to Jouanolou's resultant matrices. These matrix constructions are generalizations of the classical Macaulay matrices and involve matrices of significantly smaller size....
Persistent link: https://www.econbiz.de/10012922400
Limit spectral theory of sample covariance matrices of increasing dimension was recently used as a base for the development of improved non-degenerating methods of multivariate statistical analysis. We present results of a numerical investigation of fundamental relations of this theory (of the...
Persistent link: https://www.econbiz.de/10012925415
We study the matrices of in-forests of a weighted digraph Γ and their connections with the Laplaeian matrix of Γ. The () entry of is the total weight of spanning converging forests () with arcs such that belongs to a tree rooted at . The forest matrices, , can be calculated recursively and...
Persistent link: https://www.econbiz.de/10012925435