1. Nekomutativne Gröbnerjeve baze in izboljšave Buchbergerjevega algoritmaBenjamin Benčina, 2022, master's thesis Keywords: nekomutativni polinomi, Gröbnerjeve baze, Buchbergerjev algoritem, algoritem $F_4$, algebraična vez, podpisni algoritmi, algoritem $F_5$ Full text (file, 1012,17 KB) |
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3. Celoštevilsko programiranje in sudokuKatarina Stupica, 2011, undergraduate thesis Keywords: matematika, linearno programiranje, poliedri, celoštevilsko programiranje, popolnoma unimodularne matrike, razveji in omeji, sudoku Full text (file, 693,16 KB) |
4. Contributions to a noncommutative real algebraic geometryAljaž Zalar, 2017, doctoral dissertation Keywords: real algebraic geometry, positive polynomials, quadratic module, Positivstellensatz, free positivity, linear operator inequality, spectrahedron, noncommutative polynomials Full text (file, 762,45 KB) |
5. Elementarna ekvivalenca polj z valuacijami in izrek Ax-Kochen-JeršovLara Vukšić, 2018, master's thesis Keywords: polja z valuacijo, urejene abelove grupe, napolnitev polja z valuacijo, razširitve valuacij, Henselova polja z valuacijo, elementarna ekvivalenca, elementarne razširitve, tipi, nasičene strukture, izrek Ax-Kochen-Jeršov Full text (file, 817,08 KB) |
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7. Minimizer extraction in polynomial optimization is robustIgor Klep, Janez Povh, Jurij Volčič, 2018, original scientific article Keywords: polynomial optimization, sum of squares, semidefinite programming, moment problem, Hankel matrix, flat extension, GNS construction, noncommutative polynomial, trace Full text (file, 493,08 KB) This document has more files! More... |
8. Krein-Milmanov izrek za matrične konveksne množiceTea Štrekelj, 2020, master's thesis Keywords: (matrična) konveksna množica, (matrično) stanje, operatorski sistem, C*-algebra, Stinespringova upodobitev, (matrična) ekstremna točka, (matrična) izpostavljena točka, Hahn-Banachov izrek za matrične konveksne množice, (matrična) polara, Krein-Milman Full text (file, 790,70 KB) |
9. Sparse noncommutative polynomial optimizationIgor Klep, Victor Magron, Janez Povh, 2021, original scientific article Keywords: noncommutative polynomial, sparsity pattern, semialgebraic set, semidefinite programming, eigenvalue optimization, trace optimization, GNS construction Full text (file, 560,05 KB) This document has more files! More... |
10. Relaxations and exact solutions to Quantum Max Cut via the algebraic structure of swap operatorsAdam Bene Watts, Anirban Chowdhury, Aidan Epperly, J. William Helton, Igor Klep, 2024, original scientific article Keywords: Quantum Max Cut, swap operators, noncommutative polynomials, symmetric group, Gröbner bases Full text (file, 1,50 MB) This document has more files! More... |