Interlacing for weighted graphs using the normalized Laplacian.
Interpolation by matrices.
Intertwining of birth-and-death processes
It has been known for a long time that for birth-and-death processes started in zero the first passage time of a given level is distributed as a sum of independent exponentially distributed random variables, the parameters of which are the negatives of the eigenvalues of the stopped process. Recently, Diaconis and Miclo have given a probabilistic proof of this fact by constructing a coupling between a general birth-and-death process and a process whose birth rates are the negatives of the eigenvalues,...
Interval algorithm for absolute value equations
We investigate the absolute value equations Ax−|x| = b. Based on ɛ-inflation, an interval verification method is proposed. Theoretic analysis and numerical results show that the new proposed method is effective.
Interval fuzzy matrix equations
This paper deals with the solvability of interval matrix equations in fuzzy algebra. Fuzzy algebra is the algebraic structure in which the classical addition and multiplication are replaced by maximum and minimum, respectively. The notation , where are given interval matrices and is an unknown matrix, represents an interval system of matrix equations. We can define several types of solvability of interval fuzzy matrix equations. In this paper, we shall deal with four of them. We define the...
Interval multi-linear systems for tensors in the max-plus algebra and their application in solving the job shop problem
In this paper, we propose the notions of the max-plus algebra of the interval tensors, which can be used for the extension of interval linear systems to interval multi-linear systems in the max-plus algebra. Some properties and basic results of interval multi-linear systems in max-plus algebra are derived. An algorithm is developed for computing a solution of the multi-linear systems in the max-plus algebra. Necessary and sufficient conditions for the interval multi-linear systems for weak solvability...
Interval solutions of linear interval equations
It is shown that if the concept of an interval solution to a system of linear interval equations given by Ratschek and Sauer is slightly modified, then only two nonlinear equations are to be solved to find a modified interval solution or to verify that no such solution exists.
Intervals of certain classes of Z-matrices
Let A and B be M-matrices satisfying A ≤ B and J = [A,B] be the set of all matrices C such that A ≤ C ≤ B, where the order is component wise. It is rather well known that if A is an M-matrix and B is an invertible M-matrix and A ≤ B, then aA + bB is an invertible M-matrix for all a,b > 0. In this article, we present an elementary proof of a stronger version of this result and study corresponding results for certain other classes as well.
Introduction élémentaire à l'analyse spinorielle
Introduction to Grassmann manifolds and quantum computation.
Invariance of recurrence sequences under a Galois group.
Invariance properties of an operator product involving generalized inverses.
Invariant ideals of polynomial algebras with multiplicity free group action
Invariant Subspaces and Spectral Conditions on Operator Semigroups
Invariante Untermoduln quadratischer Moduln.
Invariants and canonical equations of hypersurfaces of second order in -dimensional Euclidean space.
Invariants de plusieurs formes binaires
Invariants of four subspaces
We consider problems in invariant theory related to the classification of four vector subspaces of an -dimensional complex vector space. We use castling techniques to quickly recover results of Howe and Huang on invariants. We further obtain information about principal isotropy groups, equidimensionality and the modules of covariants.
Invariants of orthogonal -modules from the character table.
Inverse eigenvalue problem of cell matrices
We consider the problem of reconstructing an cell matrix constructed from a vector of positive real numbers, from a given set of spectral data. In addition, we show that the spectra of cell matrices and are the same for every permutation .