Counting with groups and rings.
Covariance Structure of Principal Components for Three-Part Compositional Data
Statistical analysis of compositional data, multivariate observations carrying only relative information (proportions, percentages), should be performed only in orthonormal coordinates with respect to the Aitchison geometry on the simplex. In case of three-part compositions it is possible to decompose the covariance structure of the well-known principal components using variances of log-ratios of the original parts. They seem to be helpful for the interpretation of these special orthonormal coordinates....
Covering in the set of principal ideals in the semigroup of binary relations.
CR singular immersions of complex projective spaces.
Criteria for Positive Definiteness of Some Band Matrices.
Criteria of unitary equivalence of Hermitian operators with a degenerate spectrum.
Cyclic products and an inequality for determinants
Cylinder matrices
Das verallgemeinerte Inverse einer Matrix über einem beliebigen Körper - analytisch betrachtet.
Das verallgemeinerte Inverse eines linearen Operators in Vektorräumen mit nicht ausgearteter Hermitescher Metrik über einenm kommutativen Körper.
Data transformation technique in the data informativity approach via algebraic sequences
The data-informativity approach in data-driven control focuses on data and their matching model sets for system design and analysis. The approach offers a new mathematical formulation different from model-based control and is expected to progress. In model-based control, the introduction of equivalent transformations has made system analysis and design easier and facilitated theoretical development. In this study, we focus on data transformations and their transformation of matching model sets....
De la réduction des formes quadratiques quaternaires positives
Decay bounds and algorithms for approximating functions of sparse matrices.
Decomposing matrices with Jerzy K. Baksalary
In this paper we comment on some papers written by Jerzy K. Baksalary. In particular, we draw attention to the development process of some specific research ideas and papers now that some time, more than 15 years, has gone after their publication.
Décomposition des matrices en facteurs singuliers Applications aux équations différentielles
Decomposition of isometries of isotropic over finite fields into simple isometries
Decomposition of the symptom observation matrix and grey forecasting in vibration condition monitoring of machines
With the tools of modern metrology we can measure almost all variables in the phenomenon field of a working machine, and many of the measured quantities can be symptoms of machine conditions. On this basis, we can form a symptom observation matrix (SOM) intended for condition monitoring and wear trend (fault) identification. On the other hand, we know that contemporary complex machines may have many modes of failure, called faults. The paper presents a method of the extraction of the information...
Decompositional analysis of Kronecker structured Markov chains.
Decreasing diagonal elements in completely positive matrices
Definitezable hermitian matrix pencils.