A necessary and sufficient condition on the support of a generic unmixed bivariate polynomial system is identified such that for polynomial systems with such support, the Dixon resultant formulation produces their resultants. It is shown that Sylvester-type matrices, called Dixon dialytic matrices, can also be obtained for such polynomial systems. These results are shown to be a generalization ...

The most frequently used condition for sampling matrices employed in compressive sampling is the restricted isometry (RIP) property of the matrix when restricted to sparse signals. At the same time, imposing this condition makes it difficult to find explicit matrices that support recovery of signals from sketches of the optimal (smallest possible) dimension. A number of attempts have been made ...

A proof of concept is offered for the uniform representation of matrices serially in Morton-order (or Z-order) representation, as well as their divide-and-conquer processing as quaternary trees. Generally, d dimensional arrays are accessed as 2-ary trees. This data structure is important because, at once, it relaxes serious problems of locality and latency, while the tree helps schedule multi-p...

The use of cationic biopolymer surfaces for high protein binding affinity matrices is described. As model proteins, fluorescently labeled bovine serum albumins (FITC-BSA, TRITC-BSA) have been employed. The amount of proteins on such cationically rendered surfaces was quantified by QCM-D. In addition, flexible, transparent, patterned COP slides have been prepared and loaded with proteins ranging...

Sparse matrices arise in many practical scenarios. As a result, support for efficient operations such as multiplication of sparse matrices (spmm) is considered to be an important research area. Often, sparse matrices also exhibit particular characteristics that can be used towards better parallel algorithmics. In this paper, we focus on quasi-band sparse matrices that have a large majority of t...

Linear diffusion layer is an important part of lightweight block ciphers and hash functions. This paper presents an efficient class of lightweight 4x4 MDS matrices such that the implementation cost of them and their corresponding inverses are equal. The main target of the paper is hardware oriented cryptographic primitives and the implementation cost is measured in terms of the required number ...

This study presents an experimental overview for the development of photocatalytic materials based on geopolymer binders as catalyst support matrices. Particularly, geopolymer matrices obtained from different solid precursors (fly ash and metakaolin), composite systems (siloxane-hybrid, foamed hybrid), and curing temperatures (room temperature and 60 °C) were investigated for the same photocata...