Titlebook: Systems Analysis by Graphs and Matroids; Structural Solvabili Kazuo Murota Book 1987 Springer-Verlag Berlin Heidelberg 1987 calculus.differ

Fermentation

Matroid-Theoretic Approach to the Solvability of a System of Equations,cal forms of mixed matrices, bridging the LU-decomposition and the Dulmage-Mendelsohn decomposition, provide a powerful method for the hierarchical decomposition of a system of linear/nonlinear equations into subsystems.

figure

0937-5511 thematical modelings. The reader will become acquainted with the concepts of matroid theory and its corresponding matroid theoretical approach. This book is of interest to graduate students and researchers.978-3-540-17659-6978-3-642-61586-3Series ISSN 0937-5511 Series E-ISSN 2197-6783

无能力

PAGAN

懒惰民族

unstable-angina

overrule

Physical Observations for Faithful Formulations, of this book. Firstly it is explained that two different kinds are to be distinguished among the nonvanishing numbers characterizing real-world systems, and secondly some algebraic implications of the principle of dimensional homogeneity are pointed out. Motivated by these observations, the notions

墙壁

Matroid-Theoretic Approach to the Solvability of a System of Equations,e matroid-theoretic characterization of the rank of a mixed matrix leads to the efficient algorithm for testing the structural solvability. The canonical forms of mixed matrices, bridging the LU-decomposition and the Dulmage-Mendelsohn decomposition, provide a powerful method for the hierarchical de

Collision

Mingle

Graph-Theoretic Approach to the Controllability of a Dynamical System,controllability of a descriptor system is equivalently expressed in terms of the Dulmage-Mendelsohn decomposition of the associated bipartite graph, and some of the known results on structural controllability are derived therefrom as corollaries.