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Identification

Personal identification

Full name
Marija Dodig

Author identifiers

Ciência ID
8C15-3983-42BE
ORCID iD
0000-0001-8209-6920
Education
Degree Classification
2006/07/31
Concluded
 Doutoramento em Matematica (Doutoramento)
Universidade de Lisboa Faculdade de Ciências, Portugal
"Matrix Completion Problems and Control Theory" (THESIS/DISSERTATION)
 aprovada com Distinção e Louvor
2000/09/25
Concluded
 Theoretical Mathematics and Applications (Licencjat)
Univerzitet u Beogradu Matematicki Fakultet, Serbia
"n/a" (THESIS/DISSERTATION)
 9.64 on scale 10
Affiliation

Science

Category
Host institution 		Employer
2009/02/01 - Current Visiting Researcher (Research) Srpska Akademija Nauka i Umetnosti Matematicki Institut, Serbia
2020/01/07 - 2020/10/31 Auxiliary Researcher (Research) Fundação da Faculdade de Ciências da Universidade de Lisboa, Portugal
Centro de Análise Funcional Estruturas Lineares e Aplicações, Portugal
2015/06/09 - 2020/06/08 Auxiliary Researcher (Research) Universidade de Lisboa Faculdade de Ciências, Portugal
Centro de Análise Funcional Estruturas Lineares e Aplicações, Portugal
2009/07/01 - 2014/06/30 Auxiliary Researcher (Research) Universidade de Lisboa Faculdade de Ciências, Portugal
Universidade de Lisboa Centro de Estruturas Lineares e Combinatórias, Portugal
2006/08/01 - 2009/06/30 Postdoc (Research) Universidade de Lisboa Faculdade de Ciências, Portugal
Universidade de Lisboa Centro de Estruturas Lineares e Combinatórias, Portugal

Teaching in Higher Education

Category
Host institution 		Employer
2020/11/01 - Current Assistant Professor (University Teacher) Universidade de Lisboa Faculdade de Ciências, Portugal
2000/10/01 - 2001/12/31 Assistant (University Teacher) Univerzitet u Beogradu Matematicki Fakultet, Serbia

Others

Category
Host institution 		Employer
2002 - 2006 PhD student Universidade de Lisboa Faculdade de Ciências, Portugal
Universidade de Lisboa Centro de Estruturas Lineares e Combinatórias, Portugal
Projects

Grant

Designation Funders
2020 - Current UIDB/04721/2020
UIDB/04721/2020
Researcher
Centro de Análise Funcional Estruturas Lineares e Aplicações, Portugal
 Fundação para a Ciência e a Tecnologia
Ongoing
2022/02 - 2025/01 MEGIC “Integrability and Extremal Problems in Mechanics, Geometry and Combinatorics”
7744592
 Fond za nauku Republike Srbije
2015/06/09 - 2020/06/08 Projeto Exploratorio Matrix pencils completions
044
Principal investigator
Fundação para a Ciência e a Tecnologia
Concluded
2015 - 2020 ISFL- 1-1431
ISFL- 1-1431
Researcher
Centro de Análise Funcional Estruturas Lineares e Aplicações, Portugal
 Fundação para a Ciência e a Tecnologia
Concluded
2011/01/01 - 2019/12/31 Geometry and Topology of Manifolds, Classical Mechanics and Integrable Dynamical Systems
info:eu-repo/grantAgreement/MESTD/Basic Research (BR or ON)/174020/RS
Researcher
Republika Srbija Ministarstvo prosvete nauke i tehnoloskog razvoja
Concluded

Contract

Designation Funders
2022/05/17 - 2024/05/16 Matrix Pencils and Control Theory
EXPL/MAT-PUR/0584/2021
10.54499/EXPL/MAT-PUR/0584/2021
Principal investigator
FCiênciasID Associação para a Investigação e Desenvolvimento de Ciências, Portugal
 Fundação para a Ciência e a Tecnologia
Ongoing
2011/01/01 - 2013/12/31 Projecto Estratégico - UI 1431 - 2011-2012
PEst-OE/MAT/UI1431/2011
Fundação da Faculdade de Ciências da Universidade de Lisboa, Portugal
 Fundação para a Ciência e a Tecnologia
Concluded
Outputs

Publications

Book
  1. Dodig, M.. Descriptor Systems Under Feedback and Output Injection. 2018.
    10.1007/978-3-319-72449-2_7
Journal article
  1. Marija Dodig; Marko Stošic. "Bounded rank perturbations of a regular matrix pencil". Linear Algebra and its Applications (2024): https://doi.org/10.1016/j.laa.2024.02.028.
    10.1016/j.laa.2024.02.028
  2. Marija Dodig; Marko Stošic. "Bounded Rank Perturbations of Quasi-Regular Pencils Over Arbitrary Fields". SIAM Journal on Matrix Analysis and Applications (2023): https://doi.org/10.1137/22M1504068.
    10.1137/22M1504068
  3. Dodig, M.; Stošic, M.. "Double generalized majorization and diagrammatics". Ars Mathematica Contemporanea 23 2 (2023): http://www.scopus.com/inward/record.url?eid=2-s2.0-85140265628&partnerID=MN8TOARS.
    10.26493/1855-3974.2691.0b7
  4. Dodig, M.; Stošic, M.. "Bounded rank perturbations of matrix pencils without nontrivial invariant factors". Linear and Multilinear Algebra (2023): http://www.scopus.com/inward/record.url?eid=2-s2.0-85176111180&partnerID=MN8TOARS.
    10.1080/03081087.2023.2277210
  5. Marija Dodig; Marko Stosic. "Double Generalized Majorization". The Electronic Journal of Combinatorics 29 4 (2022): http://dx.doi.org/10.37236/11127.
    10.37236/11127
  6. Marija Dodig. "Matrix pencils completions under double rank restrictions". Filomat (2022): https://doi.org/10.2298/FIL2204269D.
    10.2298/FIL2204269D
  7. Dodig, M.; Stošic, M.. "Completion of matrix pencils with a single rank restriction". Linear and Multilinear Algebra (2021): http://www.scopus.com/inward/record.url?eid=2-s2.0-85116312497&partnerID=MN8TOARS.
    10.1080/03081087.2021.1981810
  8. Dodig, Marija; Stošic, Marko. "A new approach to square matrix completion problem". Linear and Multilinear Algebra (2020): 1-9. http://dx.doi.org/10.1080/03081087.2020.1809616.
    In press • 10.1080/03081087.2020.1809616
  9. Itziar Baragaña; Marija Dodig; Alicia Roca; Marko Stošic. "Bounded rank perturbations of regular pencils over arbitrary fields". Linear Algebra and its Applications 601 (2020): 180-188. https://doi.org/10.1016/j.laa.2020.05.015.
    10.1016/j.laa.2020.05.015
  10. Dodig, Marija; Stosic, Marko. "GMPCP for one row and one column completion". The Electronic Journal of Linear Algebra 36 36 (2020): 473-483. http://dx.doi.org/10.13001/ela.2020.5203.
    Published • 10.13001/ela.2020.5203
  11. Marija Dodig. "Complete characterisation of Kronecker invariants of a matrix pencil with a prescribed quasi-regular subpencil". The Electronic Journal of Linear Algebra 36 36 (2020): 430-445. https://doi.org/10.13001/ela.2020.5215.
    10.13001/ela.2020.5215
  12. Dodig, Marija; Stošic, Marko. "Combinatorics of polynomial chains". Linear Algebra and its Applications 589 (2020): 130-157. http://dx.doi.org/10.1016/j.laa.2019.12.028.
    10.1016/j.laa.2019.12.028
  13. Dodig, Marija; Stošic, Marko. "Rank One Perturbations of Matrix Pencils". SIAM Journal on Matrix Analysis and Applications 41 4 (2020): 1889-1911. http://dx.doi.org/10.1137/19m1279411.
    Published • 10.1137/19m1279411
  14. Dodig, M.; Stošic, M.. "GMPCP for one row and one column completion". Electronic Journal of Linear Algebra 36 1 (2020): 473-483. http://www.scopus.com/inward/record.url?eid=2-s2.0-85090689865&partnerID=MN8TOARS.
  15. Dodig, Marija; Stošic, Marko. "Feedback invariants of series connected systems". Linear Algebra and its Applications 577 (2019): 244-269. http://dx.doi.org/10.1016/j.laa.2019.04.031.
    10.1016/j.laa.2019.04.031
  16. Dodig, M.; Stosic, M.. "The general matrix pencil completion problem: A minimal case". SIAM Journal on Matrix Analysis and Applications 40 1 (2019): 347-369. http://www.scopus.com/inward/record.url?eid=2-s2.0-85064405020&partnerID=MN8TOARS.
    10.1137/17M1155041
  17. Dodig, M.. "Minimal completion problem for quasi-regular matrix pencils". Linear Algebra and Its Applications 525 (2017): 84-104. http://www.scopus.com/inward/record.url?eid=2-s2.0-85016160327&partnerID=MN8TOARS.
    10.1016/j.laa.2017.03.009
  18. Dodig, M.. "Completion of quasi-regular matrix pencils". Linear Algebra and Its Applications 501 (2016): 198-241. http://www.scopus.com/inward/record.url?eid=2-s2.0-84962259363&partnerID=MN8TOARS.
    10.1016/j.laa.2016.03.020
  19. Stošic, M.; Xavier, J.; Dodig, M.. "Projection on the intersection of convex sets". Linear Algebra and Its Applications 509 (2016): 191-205. http://www.scopus.com/inward/record.url?eid=2-s2.0-84981294048&partnerID=MN8TOARS.
    10.1016/j.laa.2016.07.023
  20. Dodig, M.; Stošic, M.; Xavier, J.. "On minimizing a quadratic function on Stiefel manifold". Linear Algebra and Its Applications 475 (2015): 251-264. http://www.scopus.com/inward/record.url?eid=2-s2.0-84924303288&partnerID=MN8TOARS.
    10.1016/j.laa.2015.02.028
  21. Dodig, M.; Stošic, M.. "The rank distance problem for pairs of matrices and a completion of quasi-regular matrix pencils". Linear Algebra and Its Applications 457 (2014): 313-347. http://www.scopus.com/inward/record.url?eid=2-s2.0-84902184468&partnerID=MN8TOARS.
    10.1016/j.laa.2014.05.029
  22. Dodig, M.; Stošic, M.. "On properties of the generalized majorization". Electronic Journal of Linear Algebra 26 (2013): 471-509. http://www.scopus.com/inward/record.url?eid=2-s2.0-84880931745&partnerID=MN8TOARS.
  23. Dodig, M.. "Completion up to a matrix pencil with column minimal indices as the only nontrivial Kronecker invariants". Linear Algebra and Its Applications 438 8 (2013): 3155-3173. http://www.scopus.com/inward/record.url?eid=2-s2.0-84875467923&partnerID=MN8TOARS.
    10.1016/j.laa.2012.12.040
  24. Dodig, M.. "Rank distance problem for pairs of matrices". Linear and Multilinear Algebra 61 2 (2013): 205-215. http://www.scopus.com/inward/record.url?eid=2-s2.0-84870934815&partnerID=MN8TOARS.
    10.1080/03081087.2012.670237
  25. Paladini, M.; Del Bue, A.; Xavier, J.; Agapito, L.; Stošic, M.; Dodig, M.. "Optimal metric projections for deformable and articulated structure-from-motion". International Journal of Computer Vision 96 2 (2012): 252-276. http://www.scopus.com/inward/record.url?eid=2-s2.0-84856508115&partnerID=MN8TOARS.
    10.1007/s11263-011-0468-5
  26. Dodig, M.; Stošic, M.. "Explicit solution of the Carlson problem". Linear Algebra and Its Applications 436 1 (2012): 190-201. http://www.scopus.com/inward/record.url?eid=2-s2.0-80055054432&partnerID=MN8TOARS.
    10.1016/j.laa.2011.06.045
  27. Dodig, M.. "Pole placement problem for singular systems". Numerical Linear Algebra with Applications 18 3 (2011): 283-297. http://www.scopus.com/inward/record.url?eid=2-s2.0-79954560851&partnerID=MN8TOARS.
    10.1002/nla.683
  28. Dodig, M.; Stošic, M.. "On convexity of polynomial paths and generalized majorizations". Electronic Journal of Combinatorics 17 1 (2010): 1-16. http://www.scopus.com/inward/record.url?eid=2-s2.0-77955632596&partnerID=MN8TOARS.
  29. Dodig, M.. "Explicit solution of the row completion problem for matrix pencils". Linear Algebra and Its Applications 432 5 (2010): 1299-1309. http://www.scopus.com/inward/record.url?eid=2-s2.0-72049123756&partnerID=MN8TOARS.
    10.1016/j.laa.2009.10.039
  30. Dodig, M.; Stošic, M.. "Combinatorics of column minimal indices and matrix pencil completion problems". SIAM Journal on Matrix Analysis and Applications 31 5 (2010): 2318-2346. http://www.scopus.com/inward/record.url?eid=2-s2.0-79251503936&partnerID=MN8TOARS.
    10.1137/090747853
  31. Dodig, M.; Stošic, M.. "Singular systems, state feedback problem". Linear Algebra and Its Applications 431 8 (2009): 1267-1292. http://www.scopus.com/inward/record.url?eid=2-s2.0-67650602090&partnerID=MN8TOARS.
    10.1016/j.laa.2009.04.024
  32. Dodig, M.; Stošic, M.. "Similarity class of a matrix with a prescribed submatrix". Linear and Multilinear Algebra 57 3 (2009): 217-245. http://www.scopus.com/inward/record.url?eid=2-s2.0-70449361097&partnerID=MN8TOARS.
    10.1080/03081080801987726
  33. Del Bue, A.; Stosic, M.; Dodig, M.; Xavier, J.. "2D-3D registration of deformable shapes with manifold projection". Proceedings - International Conference on Image Processing, ICIP (2009): 1061-1064. http://www.scopus.com/inward/record.url?eid=2-s2.0-77951961790&partnerID=MN8TOARS.
    10.1109/ICIP.2009.5413705
  34. Paladini, M.; Bue, A.D.; Stošic, M.; Dodig, M.; Xavier, J.; Agapito, L.. "Factorization for Non-Rigid and Articulated Structure using Metric Projections". 2009 IEEE Computer Society Conference on Computer Vision and Pattern Recognition Workshops, CVPR Workshops 2009 (2009): 2898-2905. http://www.scopus.com/inward/record.url?eid=2-s2.0-70450164214&partnerID=MN8TOARS.
    10.1109/CVPRW.2009.5206602
  35. Dodig, M.; Silva, F.C.. "Controllability of series connections of arbitrarily many linear systems". Linear Algebra and Its Applications 429 1 (2008): 122-141. http://www.scopus.com/inward/record.url?eid=2-s2.0-42749095684&partnerID=MN8TOARS.
    10.1016/j.laa.2008.02.010
  36. Dodig, M.. "Matrix pencils completion problems". Linear Algebra and Its Applications 428 1 (2008): 259-304. http://www.scopus.com/inward/record.url?eid=2-s2.0-36048934315&partnerID=MN8TOARS.
    10.1016/j.laa.2007.08.029
  37. Dodig, M.. "Matrix pencils completion problems II". Linear Algebra and Its Applications 429 2-3 (2008): 633-648. http://www.scopus.com/inward/record.url?eid=2-s2.0-43549100613&partnerID=MN8TOARS.
    10.1016/j.laa.2008.03.021
  38. Dodig, M.. "Eigenvalues of partially prescribed matrices". Electronic Journal of Linear Algebra 17 (2008): 316-332. http://www.scopus.com/inward/record.url?eid=2-s2.0-46849097631&partnerID=MN8TOARS.
  39. Dodig, M.; Stošic, M.. "The change of feedback invariants under one row perturbation". Linear Algebra and Its Applications 422 2-3 (2007): 582-603. http://www.scopus.com/inward/record.url?eid=2-s2.0-33847303075&partnerID=MN8TOARS.
    10.1016/j.laa.2006.11.017
  40. Dodig, M.. "Special loop connections of linear systems". Linear Algebra and Its Applications 424 2-3 (2007): 555-569. http://www.scopus.com/inward/record.url?eid=2-s2.0-34248504913&partnerID=MN8TOARS.
    10.1016/j.laa.2007.02.027
  41. Dodig, M.. "Controllability of series connections". Electronic Journal of Linear Algebra 16 (2007): 135-156. http://www.scopus.com/inward/record.url?eid=2-s2.0-34250691950&partnerID=MN8TOARS.
  42. Dodig, M.. "Feedback invariants of matrices with prescribed rows". Linear Algebra and Its Applications 405 1-3 (2005): 121-154. http://www.scopus.com/inward/record.url?eid=2-s2.0-21344470114&partnerID=MN8TOARS.
    10.1016/j.laa.2005.03.002
Online resource
  1. Dodig, Marija. More on the properties of the generalized majorization. 2019.
Report
  1. Dodig, Marija. 2009. On minimizing a quadratic function on Stiefel manifolds.
Activities

Oral presentation

Presentation title Event name
Host (Event location)
2024/07/10 Matrix pencils, completions and perturbations ENSPM 2024
Universidade do Minho (Braga, Portugal)
2024/06/12 New insights in rank one perturbations of matrix pencils ALAMA 2024
University of Oviedo (Gijon, Spain)
2023/06 Bounded rank perturbations and GMPCP, the minimal case XXV ILAS (International Linear Algebra Society) Conference
(Madrid, Spain)
2023/02/16 Bounded rank perturbations and completions of matrix pencil OSELOT seminar
(Poland)
2022/06/16 Bounded rank perturbations of matrix pencils 9th International Conference on Matrix Analysis and Applications - ICMAA 2022
University of Aveiro (Aveiro, Portugal)
2022/06/02 Bounded Rank Perturbations of a Regular Matrix Pencil ALAMA 2022 Conference
Universidad de Alcalá (Alcala de Henares, Spain)
2019/05/15 Feedback invariants of series connected systems and LR coefficients Seminario CMUC
Departamento de Matematica, Universidade Coimbra (Coimbra)
2018/05/23 Matrix and Matrix Pencil Completion Problems Colloquium
Departamento de Matemática, FCUL. (Lisboa, Portugal)
2017/06/16 New developments in matrix pencils completion problems 4th ALAMA Workshop: Inverse Spectral Problems
Red ALAMA and Universidad Nacional de Educación a Distancia (UNED) (Madrid, Spain)
2017/04/05 Combinatorics in minimal case completions of matrix pencils. Seminario CMUC
Departamento de Matematica, Universidade Coimbra (Coimbra, Portugal)
2017 Minimal completion problems for matrix pencils Preservers Everywhere conference
University of Szeged (Szeged)
2016/05/12 Kompletiranje Matrica 70 year of MISANU
MISANU (Belgrado, Serbia)
2015 Matrix pencils completions, combinatorics, and integer partitions Mattriad
Departamento de Matematica, Universidade de Coimbra (Coimbra, Portugal)
2014 Matrix pencils completion problems XIII Serbian Congress of Mathematics
University of Nis and Belgrade (Vrnjacka Banja, Serbia)
2012 On convexity of polynomial paths and generalized majorizations Seminario CMUC
Departamento de Matematica, Universidade Coimbra (Coimbra, Portugal)
2011 On direct approach to the Carlson problem Directions in Matrix Theory
Department of Mathematics University of Coimbra (Coimbra, Portugal)
2011 Explicit solution of the Carlson problem Mattriad 2011
International Linear Algebra Society (Tomar, Portugal)
2010 Matrix pencils completion problems 0-1 Matrix Theory and Related Topics
Department of Mathematics University of Coimbra (Coimbra, Portugal)
2009 Combinatorics of column minimal indices and matrix pencil completion problems Seminario
Department of Mathematics, University of Basque Country (Vitoria, Spain)
2008 Controllability of series connections of arbitrarily many linear systems Colloquium
MISANU (Belgrado, Serbia)
2008 Controllability of series connections XV ILAS (International Linear Algebra Society)
International Linear Algebra Society (Cancun, Mexico)
2008 Eigenvalues of partially prescribed matrices enspm 2008
Sociedade Portuguesa de Matematica (Coimbra, Portugal)
2008 Pole placement problem for singular systems Applied Linear Algebra conference
University of Novi Sad (Novi Sad, Serbia)
2007 Special loop connections of linear systems Seminario
Departamento de Matematica, Universidade de Aveiro (Aveiro, Portugal)
2007 Matrix pencils completion problems Seminario
Department for Mathematics, University of Belgrade (Belgrado, Serbia)
2007 Matrix pencils completion problems XIV ILAS
International Linear Algebra Society (Shanghai, China)
2006 The change of feedback invariants under one row perturbation Seminario CMUC
Departamento de Matematica, Universidade de Coimbra (Coimbra, Portugal)
2005 Eigenvalue problem ENSPM
Sociedade Portuguesa de Matematica (Braga, Portugal)
2004 Feedback invariants of matrices with prescribed rows XI ILAS Conference
International Linear Algebra Society (Coimbra, Portugal)

Event organisation

Event name
Type of event (Role) 		Institution / Organization
2023/05/19 - 2023/05/19 Linear Algebra Workshop (2023/05/19 - 2023/05/19)
Workshop (Co-organisor)
 Universidade de Lisboa Faculdade de Ciências, Portugal
2019 - 2019 Matrix theory and Control IWOTA 2019 (2019 - 2019)
Conference (Co-organisor)
 Centro de Análise Funcional Estruturas Lineares e Aplicações, Portugal
2018 - 2018 workshop Matrix theory and beyond (2018 - 2018)
Conference (Co-organisor)
2016 - 2016 WOAT 2016 Special session (2016 - 2016)
Conference (Co-organisor)

Event participation

Activity description
Type of event 		Event name
Institution / Organization
2009 - 2009 Summer School and Advanced Workshop on Trends and Developments in Linear Algebra Summer School and Advanced Workshop on Trends and Developments in Linear Algebra
Abdus Salam International Centre for Theoretical Physics, Italy

Jury of academic degree

Topic
Role 		Candidate name (Type of degree)
Institution / Organization
2017 New stability indicators for the empirical food webs Dragana Cvetkovic (PhD)
Univerzitet u Novom Sadu Fakultet tehnickih nauka, Serbia

Course / Discipline taught

Academic session Degree Subject (Type) Institution / Organization
2022 - Current Matrix Analysis Analise Matricial Fundação da Faculdade de Ciências da Universidade de Lisboa, Portugal

Journal scientific committee

Journal title (ISSN) Publisher
2011 - Current COMPEL The International Journal for Computation and Mathematics in Electrical and Electronic Engineering (0332-1649) Emerald (MCB UP )
2010 - Current SIAM Journal on Matrix Analysis and Applications (1095-7162) Society for Industrial and Applied Mathematics
2009 - Current Linear and Multilinear Algebra (1563-5139) Informa UK (Taylor & Francis)
2007 - Current Linear Algebra and its Applications (0024-3795) Elsevier

Mentoring / Tutoring

Topic Student name
2021/09 - 2022/07 Seminario Spectra and Coloring of Graphs Maria Diaz
Distinctions

Other distinction

2007 Post-Doc Scholarship
Fundação para a Ciência e a Tecnologia, Portugal
2006 Post-Doc Scholarship
2002 PhD Scholarship
Fundação para a Ciência e a Tecnologia, Portugal
2000 Annual students award
Univerzitet u Beogradu Matematicki Fakultet, Serbia
1999 Scholarship for Young Talents
Republika Srbija Ministarstvo prosvete nauke i tehnoloskog razvoja, Serbia