Schur complements and Banachiewicz-Schur forms.
Sensor Location Problem for a Multigraph
MSC 2010: 05C50, 15A03, 15A06, 65K05, 90C08, 90C35We introduce sparse linear underdetermined systems with embedded network structure. Their structure is inherited from the non-homogeneous network ow programming problems with nodes of variable intensities. One of the new applications of the researched underdetermined systems is the sensor location problem (SLP) for a multigraph. That is the location of the minimum number of sensors in the nodes of the multigraph, in order to determine the arcs ow...
Simultaneous complements in n-spaces - an elementary proof
Some algebraic and statistical properties of WLSEs under a general growth curve model.
Some remarks on comparison of predictors in seemingly unrelated linear mixed models
In this paper, we consider a comparison problem of predictors in the context of linear mixed models. In particular, we assume a set of different seemingly unrelated linear mixed models (SULMMs) allowing correlations among random vectors across the models. Our aim is to establish a variety of equalities and inequalities for comparing covariance matrices of the best linear unbiased predictors (BLUPs) of joint unknown vectors under SULMMs and their combined model. We use the matrix rank and inertia...
Spaces of constant rank matrices over .
Spaces of rank-2 matrices over GF(2).
Special forms of generalized inverses of row block matrices.
Spectrum preserving lower triangular completions -- the nonnegative nilpotent case.
Support properties of a family of connected compact sets
A problem of finding a system of proportionally located parallel supporting hyperplanes of a family of connected compact sets is analyzed. A special attention is paid to finding a common supporting halfspace. An existence theorem is proved and a method of solution is proposed.
Sur la théorie classique des invariants.
Sur une conjecture de G. Godefroy