in the linear system ax = b the points x are sometimes constrained to lie in a given subspace s of column space of a. drazin inverse for any singular or nonsingular matrix, exist and is unique. in this paper, the singular consistent or inconsistent constrained linear systems are introduced and the effect of drazin inverse in solving such systems is investigated. constrained linear system arise ...

in this paper, we try to use modeling based on singular perturbation theory, in order to control satellite attitude during the wide rolling angle maneuvering through nonlinear h∞ control strategy. differential equations describing dynamics of the satellite are presented first, and by choosing the appropriate dynamic model for actuators and based on the standard singular perturbation model, the ...

In this paper, a special technique is studied by using the orthogonal Chebyshev polynomials to get approximate solutions for singular and hyper-singular integral equations of the first kind. A singular integral equation is converted to a system of algebraic equations based on using special properties of Chebyshev series. The error bounds are also stated for the regular part of approximate solut...

An II x m matrix A is called bottleneck Monge matrix if max{ajj, a,,} < max{a,, ali} for all l<i<r<n, 1 < j < s < m. The matrix A is termed permuted bottleneck Monge matrix, if there exist row and column permutations such that the permuted matrix becomes a bottleneck Monge matrix. We first deal with the special case of Cl bottleneck Monge matrices. Next, we derive several fundamental properties...

Abstract. We derive a priori C estimates for a class of complex Monge-Ampère type equations on Hermitian manifolds. As an application we solve the Dirichlet problem for these equations under the assumption of existence of a subsolution; the existence result, as well as the second order boundary estimates, is new even for bounded domains in C n . Mathematical Subject Classification (2010): 58J05...

We consider the classical Monge-Kantorovich transport problem with a general cost c(x, y) = F (y− x) where F : R → R is a convex function and our aim is to characterize the dual optimal potential as the solution of a system of partial differential equation. Such a characterization has been given in smooth case by L.Evans and W. Gangbo [16] for F being the Euclidian norm and by Y. Brenier [5] in...

By constructing appropriate smooth supersolutions, we establish sharp lower bounds near the boundary for modulus of nontrivial solutions to singular and degenerate Monge-Ampère equations form $ \det D^2 u = |u|^q with zero condition on a bounded domain in \mathbb R^n $. These imply that currently known global Hölder regularity results these are optimal all q negative, almost 0\leq q\leq n-2 Our...

This paper studies the pressureless Euler-Poisson system and its fully non-linear counterpart , the Euler-Monge-Ampère system, where the fully non-linear Monge-Ampère equation substitutes for the linear Poisson equation. While the first is a model of plasma physics, the second is derived as a geometric approximation to the Euler incompressible equations. Using energy estimates, convergence of b...

This paper studies the pressureless Euler-Poisson system and its fully non-linear counterpart, the Euler-Monge-Ampère system, where the fully non-linear Monge-Ampère equation substitutes for the linear Poisson equation. While the first is a model of plasma physics, the second is derived as a geometric approximation to the Euler incompressible equations. Using energy estimates, convergence of bo...

We show the optimal $C^{1,1}$ regularity of geodesics in nef and big cohomology class on K\"ahler manifolds away from non-K\"ahler locus, assuming sufficiently regular initial data. As a special case, we prove metrics compact varieties singular locus. Our main novelty is an improved boundary estimate for complex Monge-Amp\`ere equation that does not require strict positivity reference form near...