On the Riemann–Hilbert Problem with a Piecewise Constant Matrix

Inverse Problem for a Heat Equation with Piecewise-constant Conductivity

We consider the inverse problem of the identification of a piecewiseconstant conductivity in a bar given the extra information of the heat flux through one end of the bar. Our theoretical results show that such an identification is unique. This approach utilizes a ”layer peeling” argument. A computational algorithm based on this method is proposed and implemented. The advantage of this algorith...

determinant of the hankel matrix with binomial entries

abstract in this thesis at first we comput the determinant of hankel matrix with enteries a_k (x)=?_(m=0)^k??((2k+2-m)¦(k-m)) x^m ? by using a new operator, ? and by writing and solving differential equation of order two at points x=2 and x=-2 . also we show that this determinant under k-binomial transformation is invariant.

Piecewise Constant Controlled Linear Fuzzy Systems

A Streaming Piecewise-Constant Model

The piecewise-constant image model (PWC) is remarkably effective for compressing palette images. This paper discloses a new streaming version of PWC that retains the excellent compression efficiency of the original algorithm while dramatically enhancing compression performance. Further, compression throughput is made more constant, making it possible to code sparse images very quickly.

On a constant-diagonals matrix

In this paper, we consider a constant-diagonals matrix. The matrix was discussed in Wituła and Słota [R. Wituła, D. Słota, On computing the determinants and inverses of some special type of tridiagonal and constant-diagonals matrices, Appl. Math. Comput. 189 (1) (2007) 514–527]. The authors gave some results on determinant and the inverse of the matrix for some special cases. We give LU factori...