A binary matrix has the Consecutive Ones Property (C1P) if its columns can be ordered in such a way that all 1s on each row are consecutive. These matrices are used for DNA physical mapping and ancestral genome reconstruction in computational biology on the other hand they represents a class of convex bipartite graphs and are of interest of algorithm graph theory researchers. Tucker gave a forb...

A set of algebraic tools for microprocessors (Harman and Tucker [1995a], Harman and Tucker [1994], Fox and Harman [1996b]) are extended to accommodate superscalar processors, where instructions may be executed in parallel, or out of program order. This has implications for the representation of timing abstraction, the relationship between time at different levels of abstraction, and the concept...

In this paper, we study nonnegative tensor data and propose an orthogonal Tucker decomposition (ONTD). We discuss some properties of ONTD develop a convex relaxation algorithm the augmented Lagrangian function to solve optimization problem. The convergence is given. employ on image sets from real world applications including face recognition, representation, hyperspectral unmixing. Numerical re...

Tensor decomposition methodologies are proposed to reduce the memory requirement of translation operator tensors arising in fast multipole method-fast Fourier transform (FMM-FFT)-accelerated surface integral equation (SIE) simulators. These leverage Tucker, hierarchical Tucker (H-Tucker), and tensor train (TT) decompositions compress FFT'ed stored 3-D 4-D array formats. Extensive numerical test...

the object of this paper to derive certain sucient condi-tions for close-to-convexity of certain analytic functions dened on theunit disk

Previous work on human subjects (9) has shown that the polysaccharide associated with serum proteins is significantly elevated in malig nancy. Little is known concerning the correlation between this elevation and the cancerous condi tion. Work in this laboratory has shown that the serum polysaccharide of dogs is increased in sev eral types of experimental inflammation (7). An elevation also occ...