scholarly journals Optimization of Triangular and Banded Matrix Operations Using 2d-Packed Layouts

2017 ◽  
Vol 14 (4) ◽  
pp. 1-19 ◽  
Author(s):  
Toufik Baroudi ◽  
Rachid Seghir ◽  
Vincent Loechner
Keyword(s):  
Banded Matrix ◽  
Matrix Operations

scholarly journals Secure Coded Multi-Party Computation for Massive Matrix Operations

2021 ◽  
pp. 1-1
Author(s):  
Hanzaleh Akbari Nodehi ◽  
Mohammad Ali Maddah-Ali
Keyword(s):  
Matrix Operations

scholarly journals A note on the eigenvalue free intervals of some classes of signed threshold graphs

2019 ◽  
Vol 7 (1) ◽  
pp. 218-225
Author(s):  
Milica Anđelić ◽  
Tamara Koledin ◽  
Zoran Stanić
Keyword(s):  
Tridiagonal Matrix ◽  
Constant Sign ◽  
Equitable Partition ◽  
Elementary Matrix ◽  
Matrix Operations ◽  
Threshold Graphs ◽  
The Matrix ◽  
Threshold Graph

Abstract We consider a particular class of signed threshold graphs and their eigenvalues. If Ġ is such a threshold graph and Q(Ġ ) is a quotient matrix that arises from the equitable partition of Ġ , then we use a sequence of elementary matrix operations to prove that the matrix Q(Ġ ) – xI (x ∈ ℝ) is row equivalent to a tridiagonal matrix whose determinant is, under certain conditions, of the constant sign. In this way we determine certain intervals in which Ġ has no eigenvalues.

Banded-matrix high-performance algorithm and architecture

1985 ◽  
Vol 24 (10) ◽  
pp. 1476 ◽  
Author(s):  
David Casasent ◽  
Bradley K. Taylor
Keyword(s):  
High Performance ◽  
Banded Matrix

Geometric simulation for warp-knitted tubular bandages with the mesh model

2021 ◽  
pp. 004051752110138
Author(s):  
Haisang Liu ◽  
Gaoming Jiang ◽  
Zhijia Dong
Keyword(s):  
Programming Languages ◽  
Three Dimensional ◽  
3D Mesh ◽  
Mesh Model ◽  
Matrix Operations ◽  
Computer Aided ◽  
Spatial Geometry ◽  
3D Mesh Model ◽  
Coordinate Mapping ◽  
Geometric Simulation

The purpose of this paper is to geometrically simulate warp-knitted medical tubular bandages with a computer-aided simulator. A flat mesh model is established according to unfolded fabric considering the knitting characteristics of double-needle bed warp-knitted tubular fabrics. Moreover, a 3D (three-dimensional) mesh model corresponding to the actual product shape is created. To better describe the spatial geometry of stitches, eight-point models are introduced, and stitches are generated with the flat mesh model. Founded on matrix operations, the stitch position in the 3D mesh model is determined through coordinate mapping. Various stitch paths are rendered in computer programming languages C# and JavaScript to conduct simulations. Warp-knitted medical tubular bandages with a large number of shapes are effectively modeled.

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