Lanczos-type algorithms with embedded interpolation and extrapolation models for solving large-scale systems of linear equations

2019 ◽  
Vol 10 (5) ◽  
pp. 429-442
Author(s):  
N.A. Maharani ◽  
Niken Larasati ◽  
Abdellah Salhi ◽  
Wali Mashwani Khan
Keyword(s):  
Large Scale ◽  
Linear Equations ◽  
Large Scale Systems ◽  
Systems Of Linear Equations

scholarly journals New Algorithms for Secure Outsourcing of Large-Scale Systems of Linear Equations

2020 ◽  
Vol 9 (5) ◽  
pp. 545-550
Keyword(s):  
Cloud Computing ◽  
Distributed Computing ◽  
Data Storage ◽  
Large Scale ◽  
Homomorphic Encryption ◽  
Linear Equations ◽  
Force Transmission ◽  
Large Scale Systems ◽  
Secure Outsourcing ◽  
Systems Of Linear Equations

Cloud computing is the on-request accessibility of computer system resources, specially data storage and computing power, without direct dynamic management by the client. In the simplest terms, cloud computing means storing and accessing data and programs over the Internet instead of your computer’s hard drive. Along the improvement of cloud computing, more and more applications are migrated into the cloud. A significant element of distributed computing is pay-more only as costs arise. Distributed computing gives strong computational capacity to the general public at diminished cost that empowers clients with least computational assets to redistribute their huge calculation outstanding burdens to the cloud, and monetarily appreciate the monstrous computational force, transmission capacity, stockpiling, and even reasonable programming that can be partaken in a compensation for each utilization way Tremendous bit of leeway is the essential objective that forestalls the wide scope of registering model for clients when their secret information are expended during the figuring procedure. Critical thinking is a system to arrive at the pragmatic objective of specific instruments that tackles the issues as well as shield from pernicious practices.. In this paper, we examine secure outsourcing for large-scale systems of linear equations, which are the most popular problems in various engineering disciplines. Linear programming is an operation research technique formulates private data by the customer for LP problem as a set of matrices and vectors, to develop a set of efficient privacypreserving problem transformation techniques, which allow customers to transform original LP problem into some arbitrary one while protecting sensitive input/output information. Identify that LP problem solving in Cloud component is efficient extra cost on cloud server. In this paper we are utilizing Homomorphic encryption system to increase the performance and time efficiency

New Algorithms for Secure Outsourcing of Large-Scale Systems of Linear Equations

2015 ◽  
Vol 10 (1) ◽  
pp. 69-78 ◽  
Author(s):  
Xiaofeng Chen ◽  
Xinyi Huang ◽  
Jin Li ◽  
Jianfeng Ma ◽  
Wenjing Lou ◽  
...  
Keyword(s):  
Large Scale ◽  
Linear Equations ◽  
Large Scale Systems ◽  
Secure Outsourcing ◽  
Systems Of Linear Equations ◽  
New Algorithms
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