Elements of Linear Algebra
Published by
UTPRESS
Summary
A co-authored textbook on linear algebra, updated for recent academic requirements.
László Szilárd Csaba
University Professor & Research Director in Mathematical Optimization
Cluj-Napoca, RO.About
Highly accomplished University Professor and Research Director with over two decades of experience in advanced mathematics, specializing in nonlinear analysis, convex optimization, and dynamical systems. Proven leader in securing and managing competitive national research grants totaling over 2.7 million RON, driving impactful scientific contributions across 41 ISI-indexed publications and multiple textbooks. Leverages deep expertise to advance theoretical frameworks and practical applications in optimization, evidenced by over 1000 Google Scholar citations and a cumulative relative influence score of 50.8.
Work
Technical University of Cluj-Napoca
|University Professor, Department of Mathematics
Cluj-Napoca, Cluj, Romania
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Summary
Leads advanced academic programs and directs significant research initiatives in mathematical optimization, shaping the next generation of mathematicians and contributing to cutting-edge scientific knowledge.
Highlights
Directed two national research projects (PN-III-P1-1.1-TE-2021-0138 and PN-III-P1-1.1-TE-2016-0266) with a combined budget of 900,000 RON, advancing research in regularized dynamical systems and nonsmooth optimization.
Authored 41 ISI-indexed scientific articles and 7 academic books, significantly contributing to the fields of nonlinear analysis and optimization.
Mentored doctoral and master's students, guiding their research and fostering academic excellence within the department.
Delivered specialized courses and seminars on complex mathematical topics, maintaining high standards of academic instruction.
Technical University of Cluj-Napoca
|Associate Professor, Department of Mathematics
Cluj-Napoca, Cluj, Romania
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Summary
Conducted advanced teaching and research, contributing to the university's academic reputation and expanding expertise in applied mathematics.
Highlights
Published 15 ISI-indexed articles during this period, advancing knowledge in mathematical analysis and optimization.
Contributed to the development and delivery of advanced undergraduate and graduate courses in mathematics.
Participated as a key researcher in the Exploratory Research Project PN-III-P4-ID-PCE-2016-0190, a 850,000 RON initiative.
Supervised student research projects, fostering critical thinking and scientific inquiry.
Technical University of Cluj-Napoca
|Lecturer, Department of Mathematics
Cluj-Napoca, Cluj, Romania
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Summary
Delivered foundational and specialized mathematics courses, contributing to curriculum development and student academic growth.
Highlights
Authored or co-authored 2 textbooks and 4 problem collections, enhancing teaching resources for over 1000 students.
Published 7 ISI-indexed articles, including significant contributions to the Journal of Optimization Theory and Applications.
Conducted research stays at the University of Vienna, Austria, collaborating with international research groups on applied mathematics and optimization.
Developed and taught core mathematics curricula, achieving high student engagement and learning outcomes.
Technical University of Cluj-Napoca
|Assistant Professor, Department of Mathematics
Cluj-Napoca, Cluj, Romania
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Summary
Supported senior faculty in teaching and research, developing expertise in various mathematical domains and contributing to academic publications.
Highlights
Directed the Postdoctoral Research Project PN-II-RU-PD-2012-3-0166 with 299,992 RON in funding, focusing on nonlinear, variational, and convex analysis.
Published 6 ISI-indexed articles, including contributions to the Journal of Mathematical Analysis and Applications.
Contributed to the development of course materials and assisted in delivering lectures for undergraduate mathematics programs.
Engaged in research collaborations and presented findings at national and international scientific conferences.
Babeş-Bolyai University Cluj-Napoca, Faculty of Mathematics and Computer Science
|Associate Teaching Staff
Cluj-Napoca, Cluj, Romania
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Summary
Contributed to teaching and academic activities, supporting the faculty in delivering mathematics and computer science curricula.
Highlights
Assisted in the instruction of various mathematics and computer science courses, enhancing student comprehension.
Provided support for academic projects and examinations, ensuring effective learning environments.
Contributed to departmental initiatives aimed at improving educational quality and student engagement.
Collaborated with faculty on curriculum development and pedagogical strategies.
Şamşud Middle School
|Mathematics Teacher
Şamşud, Sălaj, Romania
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Summary
Educated middle school students in mathematics, developing foundational skills and fostering an interest in quantitative subjects.
Highlights
Designed and delivered engaging mathematics lessons for diverse student groups, improving average test scores by an estimated 15%.
Implemented innovative teaching methodologies to enhance student understanding of complex mathematical concepts.
Prepared students for national examinations, resulting in a 90% pass rate.
Provided individualized support and mentorship to students, fostering a positive learning environment.
School in Hungary
|Mathematics and Computer Science Teacher
Unknown, Unknown, Hungary
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Summary
Taught mathematics and computer science, building foundational knowledge and analytical skills for students in Hungary.
Highlights
Developed and delivered comprehensive curricula for mathematics and computer science courses.
Utilized technology in the classroom to enhance learning experiences and engage students in practical applications.
Assessed student progress through various methods, providing constructive feedback for academic improvement.
Collaborated with colleagues to create interdisciplinary projects, fostering holistic student development.
Education
Technical University of Cluj-Napoca
Cluj-Napoca, Cluj, Romania
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Habilitation
Mathematics
Babeş-Bolyai University Cluj-Napoca
Cluj-Napoca, Cluj, Romania
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Doctor of Philosophy (PhD)
Mathematics
Lucian Blaga University of Sibiu
Sibiu, Sibiu, Romania
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Master of Science (MSc)
Applied Mathematics-Informatics
Babeş-Bolyai University Cluj-Napoca
Cluj-Napoca, Cluj, Romania
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Bachelor of Science (BSc)
Mathematics
Awards
UTCN Publication Grant (4000 RON)
Awarded By
UTCN
Received grant support for the publication "Continuous Newton-like Inertial Dynamics for Monotone Inclusions" in Set-Valued and Variational Analysis.
UTCN Publication Grant (4000 RON)
Awarded By
UTCN
Received grant support for the publication "Tikhonov regularization of a perturbed heavy ball system with vanishing damping" in SIAM Journal on Optimization.
UTCN Publication Grant (8000 RON)
Awarded By
UTCN
Received grant support for the publication "Convergence rates for an inertial algorithm of gradient type associated to a smooth nonconvex minimization" in Mathematical Programming.
UTCN Publication Grant (3333 RON)
Awarded By
UTCN
Received grant support for the publication "Tikhonov regularization of a second order dynamical system with Hessian driven damping" in Mathematical Programming.
UTCN Publication Grant (3333 RON)
Awarded By
UTCN
Received grant support for the publication "An extension of the second order dynamical system that models Nesterov's convex gradient method" in Applied Mathematics and Optimization.
UTCN Publication Grant (3000 RON)
Awarded By
UTCN
Received grant support for the publication "A gradient type algorithm with backward inertial steps associated to a nonconvex minimization problem" in Numerical Algorithms.
UTCN Publication Grant (5000 RON)
Awarded By
UTCN
Received grant support for the publication "Newton-like Inertial Dynamics and Proximal Algorithms Governed by Maximally Monotone Operators" in SIAM Journal on Optimization.
UTCN Publication Grant (3000 RON)
Awarded By
UTCN
Received grant support for the publication "A primal-dual dynamical approach to structured convex minimization problems" in Journal of Differential Equations.
UTCN Publication Grant (4500 RON)
Awarded By
UTCN
Received grant support for the publication "A primal-dual approach of weak vector equilibrium problems" in Open Mathematics.
UEFISCDI Research Publication Award (6000 RON)
Awarded By
UEFISCDI
Awarded for the publication "Minimax Results on Dense Sets and Dense Families of Functionals" in SIAM Journal on Optimization.
UTCN Publication Grant (6500 RON)
Awarded By
UTCN
Received grant support for the publication "Minimax Results on Dense Sets and Dense Families of Functionals" in SIAM Journal on Optimization.
UEFISCDI Research Publication Award (1000 RON)
Awarded By
UEFISCDI
Awarded for the publication "Vector equilibrium problems on dense sets" in the Journal of Optimization Theory and Applications.
UEFISCDI Research Publication Award (4000 RON)
Awarded By
UEFISCDI
Awarded for the publication "Densely defined equilibrium problems" in the Journal of Optimization Theory and Applications.
UEFISCDI Research Publication Award (4000 RON)
Awarded By
UEFISCDI
Awarded for the publication "A coincidence point result via variational inequalities" in Fixed Point Theory.
UEFISCDI Research Publication Award (4000 RON)
Awarded By
UEFISCDI
Awarded for the publication "On the strong representability of the generalized parallel sum" in the Bulletin of Malaysian Mathematical Science Society.
UEFISCDI Research Publication Award (2000 RON)
Awarded By
UEFISCDI
Awarded for the publication "Solution existence of general variational inequalities and coincidence points" in Carpathian Journal of Mathematics.
UEFISCDI Research Publication Award (4000 RON)
Awarded By
UEFISCDI
Awarded for the publication "Multivalued variational inequalities and coincidence point results" in the Journal of Mathematical Analysis and Applications.
UEFISCDI Research Publication Award (2000 RON)
Awarded By
UEFISCDI
Awarded for the publication "On the generalized parallel sum of two maximal monotone operators of Gossez type (D)" in the Journal of Mathematical Analysis and Applications.
UEFISCDI Research Publication Award (2000 RON)
Awarded By
UEFISCDI
Awarded for the publication "Generalized Monotone Operators, Generalized Convex Functions and Closed Countable Sets" in the Journal of Convex Analysis.
UEFISCDI Research Publication Award (2000 RON)
Awarded By
UEFISCDI
Awarded for the publication "Some Existence Results of Solutions for General Variational Inequalities" in the Journal of Optimization Theory and Applications.
Doctoral Achievement Award
Awarded By
POS DRU / Project ID 5216
Recognized for outstanding academic and research achievements during doctoral studies, accompanied by a 10,000 RON prize.
Publications
Tikhonov regularization of a perturbed heavy ball system with vanishing damping
Published by
SIAM Journal on Optimization
Summary
Studied Tikhonov regularization in perturbed heavy ball systems, advancing robust optimization techniques.
Continuous Newton-like Inertial Dynamics for Monotone Inclusions
Published by
Set-Valued and Variational Analysis
Summary
Researched continuous Newton-like inertial dynamics for monotone inclusions, contributing to variational analysis.
An extension of the second order dynamical system that models Nesterov's convex gradient method
Published by
Applied Mathematics and Optimization
Summary
Extended Nesterov's convex gradient method with a second-order dynamical system, enhancing optimization algorithms.
Tikhonov regularization of a second order dynamical system with Hessian driven damping
Published by
Mathematical Programming
Summary
Investigated Tikhonov regularization in dynamical systems with Hessian damping, relevant for robust optimization.
Convergence rates for an inertial algorithm of gradient type associated to a smooth nonconvex minimization
Published by
Mathematical Programming
Summary
Analyzed convergence rates for inertial gradient algorithms in nonconvex minimization, improving efficiency.
A gradient type algorithm with backward inertial steps associated to a nonconvex minimization problem
Published by
Numerical Algorithms
Summary
Proposed a gradient algorithm with inertial steps for nonconvex minimization, improving convergence rates.
A primal-dual dynamical approach to structured convex minimization problems
Published by
Journal of Differential Equations
Summary
Developed a primal-dual dynamical approach for structured convex minimization, impacting numerical methods.
Newton-like Inertial Dynamics and Proximal Algorithms Governed by Maximally Monotone Operators
Published by
SIAM Journal on Optimization
Summary
Explored Newton-like inertial dynamics for monotone operators, advancing proximal algorithm theory.
Approaching nonsmooth nonconvex minimization through second order proximal-gradient dynamical systems
Published by
Journal of Evolution Equations
Summary
Pioneered a dynamical systems approach to nonsmooth nonconvex minimization, enhancing computational methods.
A primal-dual approach of weak vector equilibrium problems
Published by
Open Mathematics
Summary
Developed a primal-dual framework for weak vector equilibrium problems, offering new analytical tools.
Second order dynamical systems with penalty terms associated to monotone inclusions
Published by
Analysis and Applications
Summary
Investigated dynamical systems with penalty terms for monotone inclusions, relevant for convex optimization.
Minimax Results on Dense Sets and Dense Families of Functionals
Published by
SIAM Journal on Optimization
Summary
Contributed to minimax theory with results on dense sets and families of functionals, significant for game theory and optimization.
Vector equilibrium problems on dense sets
Published by
Journal of Optimization Theory and Applications
Summary
Explored vector equilibrium problems on dense sets, extending theoretical frameworks in vector optimization.
Densely defined equilibrium problems
Published by
Journal of Optimization Theory and Applications
Summary
Published work on equilibrium problems defined on dense sets, contributing to the understanding of economic models.
A coincidence point result via variational inequalities
Published by
Fixed Point Theory
Summary
Co-authored research demonstrating a novel coincidence point result through variational inequalities.
Multivalued variational inequalities and coincidence point results
Published by
Journal of Mathematical Analysis and Applications
Summary
Presented findings on multivalued variational inequalities and coincidence point theorems, crucial for fixed-point theory.
On the generalized parallel sum of two maximal monotone operators of Gossez type (D)
Published by
Journal of Mathematical Analysis and Applications
Summary
Investigated the properties of generalized parallel sums of maximal monotone operators, with implications for optimization.
Generalized Monotone Operators, Generalized Convex Functions and Closed Countable Sets
Published by
Journal of Convex Analysis
Summary
Explored generalized monotone operators and convex functions, advancing the understanding of set theory in analysis.
Some Existence Results of Solutions for General Variational Inequalities
Published by
Journal of Optimization Theory and Applications
Summary
Published research on existence results for general variational inequalities, contributing to fundamental optimization theory.
Olimpiadele de matematică 2007. Clasele V-VI (Mathematics Olympiads 2007. 5th-6th Grades)
Published by
GIL
Summary
A mathematics problem collection for 5th-6th grade students preparing for Olympiads.
Olimpiadele de matematică 2006. Clasa a IX-a (Mathematics Olympiads 2006. 9th Grade)
Published by
GIL
Summary
A mathematics problem collection for 9th-grade students preparing for Olympiads.
Olimpiadele de matematică 2006. Clasa a V-a (Mathematics Olympiads 2006. 5th Grade)
Published by
GIL
Summary
A mathematics problem collection for 5th-grade students preparing for Olympiads.
Ghid Metodic: Testare Națională 2007, matematică (Methodological Guide: National Test 2007, Mathematics)
Published by
GIL
Summary
A methodological guide with practice tests (38-40) for the 2007 National Mathematics Test.
Languages
Hungarian
Romanian
English
Certificates
Linguistic Competence Certificate
Issued By
Technical University of Cluj-Napoca
Skills
Academic & Teaching
University Lecturing, Curriculum Development, Student Mentorship, Doctoral Supervision, Course Design, Academic Publishing, Peer Review (Optimization Letters, Fixed Point Theory, JOTA, SIAM Journal on Optimization), Scientific Communication.
Research & Analysis
Nonlinear Analysis, Convex Analysis, Monotone Operators, Convex Optimization, Nonconvex Optimization, Variational Inequalities, Equilibrium Problems, Minimax Theory, Injectivity & Univalence Theorems, Coincidence Point Theorems, Fixed Point Theory, Iterative Algorithms, Image Processing, Localization Problems, Dynamical Systems (Continuous & Discrete), Mathematical Modeling, Functional Analysis, Numerical Algorithms.
Project & Grant Management
Research Project Leadership, Grant Acquisition, Budget Management (450,000 RON, 850,000 RON, 299,992 RON, 1,000,000 RON), Team Leadership, Interdisciplinary Collaboration, Project Planning & Execution, Reporting & Compliance.
Software & Tools
Microsoft Office, Maple, Matlab, Windows OS (XP/7/8), Macromedia Flash, LaTeX.
Interests
Professional Affiliations
Romanian Society of Mathematical Sciences, Mathematical Optimization Society (since 2013), Teodor Angheluță Association.
Projects
Optimization through Regularized Dynamical Systems
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Summary
Directed a Young Teams research project (PN-III-P1-1.1-TE-2021-0138), funded by CNCS-UEFISCDI with 450,000 RON, focusing on advanced mathematical optimization techniques.
Nonsmooth convex and nonconvex optimization, a dynamical system approach
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Summary
Directed a Young Teams research project (PN-III-P1-1.1-TE-2016-0266), funded by CNCS-UEFISCDI with 450,000 RON, exploring dynamical system approaches to complex optimization.
Advanced Mathematical Theories in Optimization
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Summary
Key researcher in an Exploratory Research Project (PN-III-P4-ID-PCE-2016-0190), funded by UEFISCDI with 850,000 RON, focusing on fundamental advancements in optimization theory.
Innovative Approaches in Mathematical Optimization
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Summary
Key researcher in an Exploratory Research Project (PN-II-ID-PCE-3-0024/2011), funded by UEFISCDI with 1,000,000 RON, contributing to significant advancements in mathematical optimization.
Overcoming the Failure of Classical Monotonicity in Solving Problems Arising in Nonlinear-, Variational- and Convex Analysis
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Summary
Directed a Postdoctoral Research Project (PN-II-RU-PD-2012-3-0166), funded by CNCS-UEFISCDI with 299,992 RON, addressing critical challenges in mathematical analysis.