fast direct methodsgeneral direct methodsgeneral iterative methodsWe present a brief summary of two research projects at Boeing, both addressing the solution of very large sparse systems of linear equations with
With wireless communications in high-mobility environment becoming popular, this poses a big challenge for communication systems based on the comb-pilot OFDM, such as IEEE 802.11p, since it has not the enough pilots to estimate the time- and frequency-selective channel accurately. In this paper,...
Of course, as the mathematicians know, but many communications experts may not realize, iterative processing has a long and productive history in the theory of linear matrix solution methods, that is, in finding approximative low-complexity numerical equation solving techniques which avoid the cubic c...
Communications in Applied Numerical MethodsFarhat, C., Wilson, C., “Concurrent Iterative Solution of Large Finite Element Systems”, Communications in Applied Numerical Methods, v. 3, 319–326, 1987.C. Farhat, E. Wilson 1986], Concurrent Iterative Solution of Large Finite El- ement Systems, ...
Phase II of Int-Deep: traditional iterative methods We propose to use deep learning solutions as initial guesses so as to achieve a high-accurate solution by traditional iterative methods in a few iterations (e.g., Newton's method for solving nonlinear systems [54][24] or the two grid meth...
The use of iterative methods in the solution of systems of linear algebraic equations whose coefficient matrices are band is an important problem, because such systems do appear in many fields of engineering and science. Band matrices, symmetric and positive definite as well as unsymmetric, can ...
Retrosynthesis is a crucial task in drug discovery and organic synthesis, where artificial intelligence (AI) is increasingly employed to expedite the process. However, existing approaches employ token-by-token decoding methods to translate target molecule strings into corresponding precursors, exhibiting uns...
With the PRISMA methodology, this review provides a comprehensive analysis of the methods involved in various applications, such as MIMO, mmWave, RIS-aided systems, and underwater communications. The proposed review, on giving a number of models, discusses the pros and cons of those models. ...
Applied Iterative Methods discusses the practical utilization of iterative methods for solving large, sparse systems of linear algebraic equations. The book explains different general methods to present computational procedures to automatically determine favorable estimates of any iteration parameters, as well ...
Systems and methods are provided for improved designs and performance for iterative decoder systems. In some embodiments, the iterative decoder may be decoupled from FIR samples through an FIR RAM, thus resulting in a less complex design and shorter processing times. In some embodiments, an intermed...