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Journals and Conferences
Indefinite approximations of positive semidefinite matrices arise in many data analysis applications involving covariance matrices and correlation matrices. We propose a method for restoring positive semidefiniteness of an indefinite matrix M0 that constructs a convex linear combination S(α) = αM1 + (1− α)M0 of M0 and a positive semidefinite target matrix… (More)
Although PM was basically created to treat subjective comparisons, given exact values can be converted to Potential Method flow. A new feature of PM is a parameter called FlowNorm which helps to treat problems where each criterion has its own measurement scale. Complex hierarchial structures and problems modelled by decision tables can be handled.… (More)
We propose a hyperbolic counterpart of the Schur decomposition, with the emphasis on the preservation of structures related to some given hyperbolic scalar product. We give results regarding the existence of such a decomposition and research the properties of its block triangular factor for various structured matrices.