Publication 2002 Issue No. 9 - September Abstract - Theory of Extended Linear Machines
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Theory of Extended Linear Machines
September 2002 (vol. 51 no. 9)
pp. 1106-1110
 ASCII Text x Kolin Paul, D. Roy Choudhury, P. Pal Chaudhuri, "Theory of Extended Linear Machines," IEEE Transactions on Computers, vol. 51, no. 9, pp. 1106-1110, September, 2002.
 BibTex x @article{ 10.1109/TC.2002.1032629,author = {Kolin Paul and D. Roy Choudhury and P. Pal Chaudhuri},title = {Theory of Extended Linear Machines},journal ={IEEE Transactions on Computers},volume = {51},number = {9},issn = {0018-9340},year = {2002},pages = {1106-1110},doi = {http://doi.ieeecomputersociety.org/10.1109/TC.2002.1032629},publisher = {IEEE Computer Society},address = {Los Alamitos, CA, USA},}
 RefWorks Procite/RefMan/Endnote x TY - JOURJO - IEEE Transactions on ComputersTI - Theory of Extended Linear MachinesIS - 9SN - 0018-9340SP1106EP1110EPD - 1106-1110A1 - Kolin Paul, A1 - D. Roy Choudhury, A1 - P. Pal Chaudhuri, PY - 2002KW - Linear Machine (LM)KW - Extended Linear Machine (ELM)KW - vector spaceKW - vector subspaceKW - extension rield.VL - 51JA - IEEE Transactions on ComputersER -

Abstract—This paper extends the theory of autonomous Linear Machines (LMs). The theory of the Extension Field has provided the foundation for the design of such machines referred to as Extended Linear Machines (ELM). An analytical framework has been reported to completely characterize the vector subspace generated by an ELM and also different variations of LMs having cyclic, as well as noncyclic vector subspaces. This formulation has resulted in a single algorithm that characterizes each of the vector subspaces in terms of cyclic and noncyclic subspaces. An ELM significantly reduces the computation time for characterizing the model and study of the behavior of the physical system compared to conventional binary linear machines.

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Index Terms:
Linear Machine (LM), Extended Linear Machine (ELM), vector space, vector subspace, extension rield.
Citation:
Kolin Paul, D. Roy Choudhury, P. Pal Chaudhuri, "Theory of Extended Linear Machines," IEEE Transactions on Computers, vol. 51, no. 9, pp. 1106-1110, Sept. 2002, doi:10.1109/TC.2002.1032629
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