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Symbolic Computation with Monotone Operators

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0 Published in 2017 at "Set-Valued and Variational Analysis"

DOI: 10.1007/s11228-017-0418-7

Abstract: We consider a class of monotone operators which are appropriate for symbolic representation and manipulation within a computer algebra system. Various structural properties of the class (e.g., closure under taking inverses, resolvents) are investigated as… read more here.

Keywords: symbolic computation; computation; class; monotone operators ... See more keywords

Symbolic Computation for Rankin-Cohen Differential Algebras: A Case Study

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0 Published in 2017 at "Mathematics in Computer Science"

DOI: 10.1007/s11786-017-0318-0

Abstract: Don Zagier defined a “Rankin-Cohen algebra”, motivated by the study of differential operators that send modular forms to modular forms. We devised an algorithm that computes the result of the differentiation given by the modular… read more here.

Keywords: symbolic computation; rankin cohen; computation rankin; cohen differential ... See more keywords

Analysis of interaction between two solitons based on computerized symbolic computation

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0 Published in 2020 at "Optik"

DOI: 10.1016/j.ijleo.2020.164210

Abstract: Abstract The study of soliton interaction is helpful to improve the quality and capacity of computer image processing. In this paper, using the computerized symbolic computation, the analytical two-soliton solutions are obtained by the Hirota… read more here.

Keywords: computerized symbolic; interaction two; symbolic computation; analysis interaction ... See more keywords

Using a variational method to obtain the ground state of the quantum Hamiltonian: symbolic computation approach

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1 Published in 2018 at "European Journal of Physics"

DOI: 10.1088/1361-6404/aaf115

Abstract: The importance of learning symbolic computation in research in theoretical sciences cannot be overemphasised. While Fortran and/or C programming laboratories have become an essential part of MSc curricula now, symbolic computing is almost never taught.… read more here.

Keywords: state; symbolic computation; physics; using variational ... See more keywords

Symbolic computation in hyperbolic programming

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0 Published in 2018 at "Journal of Algebra and Its Applications"

DOI: 10.1142/s021949881850192x

Abstract: Hyperbolic programming is the problem of computing the infimum of a linear function when restricted to the hyperbolicity cone of a hyperbolic polynomial, a generalization of semidefinite programming (SDP). We propose an approach based on… read more here.

Keywords: computation hyperbolic; symbolic computation; hyperbolic programming;