Results 81 to 90 of about 53,358 (305)

Characterization of Defect Distribution in an Additively Manufactured AlSi10Mg as a Function of Processing Parameters and Correlations with Extreme Value Statistics

Advanced Engineering Materials, EarlyView.
Predicting extreme defects in additive manufacturing remains a key challenge limiting its structural reliability. This study proposes a statistical framework that integrates Extreme Value Theory with advanced process indicators to explore defect–process relationships and improve the estimation of critical defect sizes. The approach provides a basis for
Muhammad Muteeb Butt, Varma Kvvssn, Hossein Laieghi, Zia Uddin, Peyman Ansari, E. Kıvanç Sadak, Can Barış Toprak, Hüseyin Kızıl, Enrico Salvati   +8 more
wiley   +1 more source

Polynomials and the exponent of matrix multiplication

, 2017
We define tensors, most of which correspond with cubic polynomials, which have the same exponent w as the matrix multiplication tensor. In particular, we study the symmetrized matrix multiplication tensor defined on an nxn matrix A by trace(A^3).
Jonathan Hauenstein (17332201)
core   +1 more source

Completion of Matrix Inversions Using Elementary Matrix Inverse Multiplication Method

, 2020
.   Given a matrix A is ordo . Elementary matrix inverse multiplication  produces inverse matrix A which is  where I is an identity matrix and  is an inverse matrix A.
Cipta, Hendra, Cipta, H. (Hendra)
core   +1 more source

Barriers for rectangular matrix multiplication

computational complexity
Abstract We study the algorithmic problem of multiplying large matrices that are rectangular. We prove that the method that has been used to construct the fastest algorithms for rectangular matrix multiplication cannot give algorithms with complexity $$n^{p + 1}$$
Matthias Christandl, François Le Gall, Vladimir Lysikov, Jeroen Zuiddam   +3 more
openaire   +4 more sources

A Workflow to Accelerate Microstructure‐Sensitive Fatigue Life Predictions

Advanced Engineering Materials, EarlyView.
This study introduces a workflow to accelerate predictions of microstructure‐sensitive fatigue life. Results from frameworks with varying levels of simplification are benchmarked against published reference results. The analysis reveals a trade‐off between accuracy and model complexity, offering researchers a practical guide for selecting the optimal ...
Luca Loiodice, Krzysztof S. Stopka, Michael D. Sangid   +2 more
wiley   +1 more source

The scheduling of sparse matrix-vector multiplication on a massively parallel dap computer

, 1991
An efficient data structure is presented which supports general unstructured sparse matrix-vector multiplications on a Distributed Array of Processors (DAP). This approach seeks to reduce the inter-processor data movements and organises the operations in
Mitra, G, Parkinson, D, Andersen, J
core  

Fast sparse matrix multiplication

, 2019
A new space-efficient representation for sparse matrices is introduced and a fast sparse matrix multiplication algorithm based on the new representation is presented. The scheme is very efficient when the nonzero elements of a sparse matrix are partially
S.C. Park (8091284), S.-Q. Zheng (8095259), J.P. Draayer (8090477)   +2 more
core   +1 more source

Communication-Avoiding Parallel Sparse-Dense Matrix-Matrix Multiplication [PDF]

, 2016
Multiplication of a sparse matrix with a dense matrix is a building block of an increasing number of applications in many areas such as machine learning and graph algorithms.
Penporn Koanantakool, Ariful Azad, Katherine Yelick, Oh, Sang-Yun, Morozov, Dmitriy, Leonid Oliker, Azad, Ariful, Buluc, Aydin, Koanantakool, Penporn, Aydin Buluc, Sang-Yun Oh, Dmitriy Morozov, Yelick, Katherine, Oliker, Leonid   +13 more
core   +1 more source

Microstructural Evolution and Vacancy Defect Formation in Mn–Mo–Ni RPV Steel Under Low Cycle Fatigue: Insights From EBSD and PALS

Advanced Engineering Materials, EarlyView.
Low‐cycle fatigue damage in Mn–Mo–Ni reactor pressure vessel steel is examined using a combined electron backscatter diffraction and positron annihilation lifetime spectroscopy approach. The study correlates texture evolution, dislocation substructure development, and vacancy‐type defect formation across uniform, necked, and fracture regions, providing
Apu Sarkar, Dhanadeep Dutta, G. Bharat Reddy   +2 more
wiley   +1 more source

On Some New Generalized Di®erence Sequence Spaces and Their Topological Properties

Journal of New Results in Science, 2014
In this study, we define a new triangle matrix G ={gu,v(r, s, t)} which derived by using multiplication of weightedmean matrix G = (gnk) with triple band matrix B(r, s, t) .
Osman Duyar, Serkan Demiriz
doaj