Edit Profile (opens in new tab) Bartl, David Co-Author Distance Author ID: bartl.david Published as: Bartl, David Documents Indexed: 14 Publications since 2004, including 1 Additional arXiv Preprint Co-Authors: 4 Co-Authors with 6 Joint Publications 60 Co-Co-Authors Co-Authors 8 single-authored 3 Fabian, Marián J. 2 Pintér, Miklós 1 Dubey, Dipti 1 Kolář, Jan all top 5 Serials 2 Journal of Mathematical Analysis and Applications 2 Linear and Multilinear Algebra 2 Operations Research Letters 1 Proceedings of the American Mathematical Society 1 Optimization 1 Mathematica Pannonica 1 Linear Algebra and its Applications 1 SIAM Journal on Optimization 1 Mathematical Methods of Operations Research 1 Acta Mathematica Universitatis Ostraviensis all top 5 Fields 7 Linear and multilinear algebra; matrix theory (15-XX) 6 Order, lattices, ordered algebraic structures (06-XX) 6 Operations research, mathematical programming (90-XX) 4 Field theory and polynomials (12-XX) 2 Functional analysis (46-XX) 2 Operator theory (47-XX) 1 Real functions (26-XX) 1 Approximations and expansions (41-XX) 1 Convex and discrete geometry (52-XX) 1 Numerical analysis (65-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 9 Publications have been cited 40 times in 29 Documents Cited by ▼ Year ▼ A short algebraic proof of the Farkas lemma. Zbl 1158.15015 Bartl, David 17 2008 Farkas’ Lemma, other theorems of the alternative, and linear programming in infinite-dimensional spaces: a purely linear-algebraic approach. Zbl 1185.15017 Bartl, David 8 2007 A very short algebraic proof of the Farkas lemma. Zbl 1262.15020 Bartl, David 3 2012 Can Pourciau’s open mapping theorem be derived from Clarke’s inverse mapping theorem easily? Zbl 1460.46003 Bartl, David; Fabian, Marián 3 2021 Separation theorems for convex polytopes and finitely-generated cones derived from theorems of the alternative. Zbl 1242.90097 Bartl, David 2 2012 A discrete variant of Farkas’ lemma. Zbl 1409.90105 Bartl, David; Dubey, Dipti 2 2017 A note on the short algebraic proof of Farkas’ Lemma. Zbl 1268.15017 Bartl, David 2 2012 Every compact convex subset of matrices is the Clarke Jacobian of some Lipschitzian mapping. Zbl 1494.47096 Bartl, David; Fabian, Marián 2 2021 Clarke Jacobians, Bouligand Jacobians, and compact connected sets of matrices. Zbl 1496.26012 Bartl, David; Fabian, Marián; Kolář, Jan 1 2022 Clarke Jacobians, Bouligand Jacobians, and compact connected sets of matrices. Zbl 1496.26012 Bartl, David; Fabian, Marián; Kolář, Jan 1 2022 Can Pourciau’s open mapping theorem be derived from Clarke’s inverse mapping theorem easily? Zbl 1460.46003 Bartl, David; Fabian, Marián 3 2021 Every compact convex subset of matrices is the Clarke Jacobian of some Lipschitzian mapping. Zbl 1494.47096 Bartl, David; Fabian, Marián 2 2021 A discrete variant of Farkas’ lemma. Zbl 1409.90105 Bartl, David; Dubey, Dipti 2 2017 A very short algebraic proof of the Farkas lemma. Zbl 1262.15020 Bartl, David 3 2012 Separation theorems for convex polytopes and finitely-generated cones derived from theorems of the alternative. Zbl 1242.90097 Bartl, David 2 2012 A note on the short algebraic proof of Farkas’ Lemma. Zbl 1268.15017 Bartl, David 2 2012 A short algebraic proof of the Farkas lemma. Zbl 1158.15015 Bartl, David 17 2008 Farkas’ Lemma, other theorems of the alternative, and linear programming in infinite-dimensional spaces: a purely linear-algebraic approach. Zbl 1185.15017 Bartl, David 8 2007 all cited Publications top 5 cited Publications all top 5 Cited by 41 Authors 7 Bartl, David 3 Qui, Nguyen Thanh 3 Nguyen Dong Yen 2 Fabian, Marián J. 1 An, D. T. V. 1 Arutyunov, Aram Vladimirovic 1 Ban, Liqun 1 Baratella, Stefano 1 Dubey, Dipti 1 Duong Thi Viet An 1 Evtushenko, Yuriĭ Gavrilovich 1 Fabian, Martin 1 Garajová, Elif 1 Gfrerer, Helmut 1 Goberna, Miguel Angel 1 Hernández-Jiménez, Beatriz 1 Hiriart-Urruty, Jean-Baptiste 1 Hladík, Milan 1 Jeyakumar, Vaithilingam 1 Kolář, Jan 1 Kruger, Alexander Y. 1 Kutateladze, Semën Samsonovich 1 Li, Guoyin 1 Long, Dang Hai 1 López-Cerdá, Marco Antonio 1 Mordukhovich, Boris S. 1 Nam, Nguyen Mau 1 Nguyen Thi Toan 1 Nievergelt, Yves 1 Osuna-Gómez, Rafaela 1 Rada, Miroslav 1 Rufián-Lizana, Antonio 1 Ruiz-Garzón, Gabriel 1 Sitarz, Sebastian 1 Song, Wen 1 Tret’yakov, Alexey A. 1 Tyrtyshnikov, Evgeniĭ Evgen’evich 1 Viet An, Duong Thi 1 Wessel, Daniel 1 Yang, Xiaoqi 1 Zambella, Domenico all top 5 Cited in 21 Serials 4 Optimization 3 Journal of Optimization Theory and Applications 2 Journal of Mathematical Analysis and Applications 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Set-Valued and Variational Analysis 1 Applicable Analysis 1 Communications in Algebra 1 Linear and Multilinear Algebra 1 Acta Mathematica Vietnamica 1 Proceedings of the American Mathematical Society 1 Siberian Mathematical Journal 1 Operations Research Letters 1 Linear Algebra and its Applications 1 Mathematical Programming. Series A. Series B 1 Mathematical Logic Quarterly (MLQ) 1 Top 1 Doklady Mathematics 1 Vietnam Journal of Mathematics 1 Taiwanese Journal of Mathematics 1 Mathematical Methods of Operations Research 1 Optimization Letters all top 5 Cited in 14 Fields 19 Operations research, mathematical programming (90-XX) 10 Calculus of variations and optimal control; optimization (49-XX) 6 Order, lattices, ordered algebraic structures (06-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 4 Convex and discrete geometry (52-XX) 3 Real functions (26-XX) 3 Operator theory (47-XX) 2 Mathematical logic and foundations (03-XX) 2 Field theory and polynomials (12-XX) 2 Functional analysis (46-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Differential geometry (53-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Systems theory; control (93-XX) Citations by Year