Inverse M-Matrices and Ultrametric Matrices

• Κύριοι συγγραφείς: Dellacherie, Claude (Συγγραφέας), Martinez, Servet (Συγγραφέας), San Martin, Jaime (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2014.
• Σειρά: Lecture Notes in Mathematics, 2118
• Θέματα: Mathematics.; Potential theory (Mathematics).; Game theory.; Probabilities.; Potential Theory.; Probability Theory and Stochastic Processes.; Game Theory, Economics, Social and Behav. Sciences.

The study of M-matrices, their inverses and discrete potential theory is now a well-established part of linear algebra and the theory of Markov chains. The main focus of this monograph is the so-called inverse M-matrix problem, which asks for a characterization of nonnegative matrices whose inverses...

Πίνακας περιεχομένων:

• Inverse M - matrices and potentials
• Ultrametric Matrices
• Graph of Ultrametric Type Matrices
• Filtered Matrices
• Hadamard Functions of Inverse M - matrices
• Notes and Comments Beyond Matrices
• Basic Matrix Block Formulae
• Symbolic Inversion of a Diagonally Dominant M - matrices
• Bibliography
• Index of Notations
• Index.