Systems of consistent linear equations with symmetric positive semidefinite matrices arise naturally while solving many scientific and engineering problems. In case of a “floating” static structure, the boundary conditions are not sufficient to prevent its rigid body motions. Traditional solvers based on Cholesky decomposition can be adapted to these systems by recognition of zero rows or colum...

We study the boundary of the region of weighted analytic centers for linear matrix inequality constraints. Let be the convex subset of R defined by q simultaneous linear matrix inequalities (LMIs) A(x) := A 0 + n ∑ i=1 xiA (j) i 0, j = 1, 2, . . . , q, where A i are symmetric matrices and x ∈ R. Given a strictly positive vector ω = (ω1, ω2, . . . , ωq), the weighted analytic center xac(ω) is th...

Characterizations of the stability and orthonormality of a multivariate matrix refinable function Φ with arbitrary matrix dilation M are provided in terms of the eigenvalue and 1-eigenvector properties of the restricted transition operator. Under mild conditions, it is shown that the approximation order of Φ is equivalent to the order of the vanishing moment conditions of the matrix refinement ...

We provide a useful method for calculating the state vector of a state equation efficiently in a max-plus algebraic system. For a discrete event system whose precedence relationships are represented by a directed acyclic graph, computing the transition matrix, which includes the Kleene star operation of a weighted adjacency matrix, is occasionally the bottleneck. On the other hand, the common o...

Internetware system are widely used in the chemical and pharmaceutical industry, effective acquisition of transition probability matrix is directly related to internetware reliability computation based on Markov chain model. The construction of Markov chain and the acquisition of transition probability of internetware are studied; the Markov chain of internetware reliability is constructed. Tra...

Background & aim: Birth of the first child is one of the major life events for every woman. This event can make extensive changes in couple’s life, which lead to the reduction of marital satisfaction or incidence of conflicts in wifehood and parenthood. Regarding this, the present study was conducted to determine the relationship between transition to parenthood and ma...

OBJECTIVES The transition from pediatric to adult care is a high-risk period for the emerging adult with diabetes. We aimed to determine adequacy of pediatric transition care structures and explore the pediatric diabetes care provider's perceptions of transition care. RESEARCH DESIGN AND METHODS In-depth interviews with pediatric diabetes care providers from 12 diabetes centers in Quebec were...

The method of screening and renormalization for including the Coulomb interaction in the framework of momentum-space integral equations is applied to the three-and four-body nuclear reactions. The Coulomb effect on the observables and the ability of the present nuclear potential models to describe the experimental data is discussed. The Coulomb interaction, due to its long range, does not satis...