By Dr Mareike Dressler

Journal articles

Dressler M; Krone R, 2025, 'Multiple typical ranks in matrix completion', Linear Algebra and Its Applications, 710, pp. 165 - 182, http://dx.doi.org/10.1016/j.laa.2025.01.026

Dressler M; Foucart S; Joldes M; de Klerk E; Lasserre JB; Xu Y, 2025, 'Optimization-aided construction of multivariate Chebyshev polynomials', Journal of Approximation Theory, 305, http://dx.doi.org/10.1016/j.jat.2024.106116

Dressler M; Kuhlmann S; Schick M, 2025, 'Study of the cone of sums of squares plus sums of nonnegative circuit forms', Advances in Geometry, 25, pp. 127 - 146, http://dx.doi.org/10.1515/advgeom-2024-0031

Dressler M; Garrote-López M; Montúfar G; Müller J; Rose K, 2024, 'Algebraic optimization of sequential decision problems', Journal of Symbolic Computation, 121, http://dx.doi.org/10.1016/j.jsc.2023.102241

Dao MN; Dressler M; Liao H; Roshchina V, 2024, 'Douglas–Rachford is the best projection method in its family', Optimization, http://dx.doi.org/10.1080/02331934.2024.2444623

Bellon A; Dressler M; Kungurtsev V; Marecek J; Uschmajew A, 2024, 'TIME-VARYING SEMIDEFINITE PROGRAMMING: PATH FOLLOWING A BURER-MONTEIRO FACTORIZATION', SIAM Journal on Optimization, 34, http://dx.doi.org/10.1137/22M1529762

Dressler M; Uschmajew A; Chandrasekaran V, 2023, 'KRONECKER PRODUCT APPROXIMATION OF OPERATORS IN SPECTRAL NORM VIA ALTERNATING SDP', SIAM Journal on Matrix Analysis and Applications, 44, pp. 1693 - 1708, http://dx.doi.org/10.1137/22M1509953

Dressler M; Kurpisz A; de Wolff T, 2022, 'Optimization Over the Boolean Hypercube Via Sums of Nonnegative Circuit Polynomials', Foundations of Computational Mathematics, 22, pp. 365 - 387, http://dx.doi.org/10.1007/s10208-021-09496-x

Dressler M; Murray R, 2022, 'Algebraic Perspectives on Signomial Optimization', SIAM Journal on Applied Algebra and Geometry, 6, pp. 650 - 684, http://dx.doi.org/10.1137/21M1462568

Dressler M; Nie J; Yang Z, 2022, 'Separability of Hermitian tensors and PSD decompositions', Linear and Multilinear Algebra, 70, pp. 6581 - 6608, http://dx.doi.org/10.1080/03081087.2021.1965078

Dressler M; Knop A; Klement L; Hadjipieris P, 2022, 'Fostering Proving Skills in Upper-Division Mathematics Classes through Peer Feedback Assignments', Transformative Dialogues: Teaching and Learning Journal, 14, https://td.journals.psu.edu/td/article/view/1669/1147

Dressler M, 2021, 'Real zeros of SONC polynomials', Journal of Pure and Applied Algebra, 225, http://dx.doi.org/10.1016/j.jpaa.2020.106602

Dressler M; Naumann H; Theobald T, 2021, 'The dual cone of sums of non-negative circuit polynomials', Advances in Geometry, 21, pp. 227 - 236, http://dx.doi.org/10.1515/advgeom-2020-0019

Dressler M; Iliman S; de Wolff T, 2019, 'An approach to constrained polynomial optimization via nonnegative circuit polynomials and geometric programming', Journal of Symbolic Computation, 91, pp. 149 - 172, http://dx.doi.org/10.1016/j.jsc.2018.06.018

Dressler M; Iliman S; de Wolff T, 2017, 'A positivstellensatz for sums of nonnegative circuit polynomials', SIAM Journal on Applied Algebra and Geometry, 1, pp. 536 - 555, http://dx.doi.org/10.1137/16M1086303

Conference Papers

Dressler M; Heuer J; Naumann H; De Wolff T, 2020, 'Global optimization via the dual SONC cone and linear programming', in Proceedings of the International Symposium on Symbolic and Algebraic Computation, ISSAC, pp. 138 - 145, http://dx.doi.org/10.1145/3373207.3404043

Dressler M; de Wolff T; Kurpisz A, 2018, 'Optimization over the Boolean Hypercube via Sums of Nonnegative Circuit Polynomials', Liverpool, presented at 3rd International Symposium on Mathematical Foundations of Computer Science, Liverpool, 27 August 2018, http://dx.doi.org/10.4230/LIPIcs.MFCS.2018.82

Reports

Dressler M, 2023, Algebraic Perspectives on Signomial Optimization, EMS Publishing House, https://www.ems-ph.org/journals/journal.php?jrn=owr

Dressler M, 2020, Global Optimization via the Dual SONC Cone and Linear Programming, EMS Publishing House, https://www.ems-ph.org/journals/journal.php?jrn=owr, no. 12, 2020

Theses / Dissertations

Dressler M, 2018, Sums of Nonnegative Circuit Polynomials : Geometry and Optimization, http://publikationen.ub.uni-frankfurt.de/frontdoor/index/index/docId/46971

Dressler M, 2013, Die tropische Graßmannsche als Modulraum

Dressler M, 2010, Die Dedekindsche Zetafunktion und die Dichte zerlegter Primideale

Working Papers

Dao MN; Dressler M; Liao H; Roshchina V, 2023, Douglas-Rachford is the best projection method, http://dx.doi.org10.48550/arXiv.2310.17077

Preprints

Dressler M; Foucart S; Joldes M; Klerk ED; Lasserre J-B; Xu Y, 2024, Least multivariate Chebyshev polynomials on diagonally determined domains, http://arxiv.org/abs/2405.19219v2

Dressler M; Foucart S; Joldes M; Klerk ED; Lasserre JB; Xu Y, 2024, Optimization-Aided Construction of Multivariate Chebyshev Polynomials, http://arxiv.org/abs/2405.10438v3

Dao MN; Dressler M; Liao H; Roshchina V, 2023, Douglas--Rachford is the best projection method, http://arxiv.org/abs/2310.17077v1

Dressler M; Kuhlmann S; Schick M, 2023, Geometrical Study of the Cone of Sums of Squares plus Sums of Nonnegative Circuits, http://arxiv.org/abs/2305.14848v2

Dressler M; Garrote-López M; Montúfar G; Müller J; Rose K, 2022, Algebraic optimization of sequential decision problems, http://arxiv.org/abs/2211.09439v1

Bellon A; Dressler M; Kungurtsev V; Marecek J; Uschmajew A, 2022, Time-Varying Semidefinite Programming: Path Following a Burer-Monteiro Factorization, http://dx.doi.org/10.1137/22M1529762

Dressler M; Uschmajew A; Chandrasekaran V, 2022, Kronecker Product Approximation of Operators in Spectral Norm via Alternating SDP, http://arxiv.org/abs/2207.03186v2

Dressler M; Murray R, 2021, Algebraic perspectives on signomial optimization, http://arxiv.org/abs/2107.00345v1

Dressler M; Nie J; Yang Z, 2020, Separability of Hermitian Tensors and PSD Decompositions, http://arxiv.org/abs/2011.08132v2

Dressler M; Krone R, 2020, Multiple typical ranks in matrix completion, http://arxiv.org/abs/2010.09777v2

Dressler M; Heuer J; Naumann H; Wolff TD, 2020, Global Optimization via the Dual SONC Cone and Linear Programming, http://dx.doi.org/10.1145/3373207.3404043

Dressler M, 2019, Real Zeros of SONC Polynomials, http://dx.doi.org/10.1016/j.jpaa.2020.106602

Dressler M; Naumann H; Theobald T, 2018, The dual cone of sums of non-negative circuit polynomials, http://arxiv.org/abs/1809.07648v2

Dressler M; Kurpisz A; Wolff TD, 2018, Optimization over the Boolean Hypercube via Sums of Nonnegative Circuit Polynomials, http://arxiv.org/abs/1802.10004v1

Dressler M; Iliman S; Wolff TD, 2016, A Positivstellensatz for Sums of Nonnegative Circuit Polynomials, http://arxiv.org/abs/1607.06010v2

Dressler M; Iliman S; Wolff TD, 2016, An Approach to Constrained Polynomial Optimization via Nonnegative Circuit Polynomials and Geometric Programming, http://arxiv.org/abs/1602.06180v3

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