Ignat DOMANOV
room A 372
Faculty of Science, KU Leuven KULAK
Etienne Sabbelaan 53
8500 Kortrijk
Belgium

Phone (office) : + 32 (0) 56 24 64 92
Email :
October 2013present :   PostDoc at KU Leuven KULAK  
September 2013 :   PhD in Engineering, KU Leuven, Belgium (PhD thesis)  
March 2004 :   PhD in Mathematics, IAMM of NASU, Ukraine  
Research interests:
2009present:   Tensor decompositions and their applications in signal processing  

19992010:   Spectral analysis of volterra operators and operator algebras related to them  
CV
Publications
Publications (click to hide)
Publications on matrix decompositions, tensor decompositions and their applications:
Publications in journals:
 I. Domanov, A. Stegeman, and L. De Lathauwer. On the largest multilinear singular values of higherorder tensors, submitted, arXiv:1612.03751
 I. Domanov and L. De Lathauwer. Canonical polyadic decomposition of thirdorder tensors:
relaxed uniqueness conditions and algebraic algorithm, Lin. Alg. Appl., 513, 342375,2017. arXiv:1501.07251
 I. Domanov and L. De Lathauwer. Generic uniqueness of a structured matrix factorization and applications in blind source separation, IEEE Journal of Selected Topics in Signal Processing, 10(4):701711, 2016. arXiv:1601.01173
 L. Sorber, I. Domanov, M. Van Barel and L. De Lathauwer. Exact Line and Plane Search for Tensor
Optimization, Computational Optimization and Applications, 63(1):121142, 2016. pdf
 I. Domanov and L. De Lathauwer., Generic uniqueness conditions for the canonical polyadic
decomposition and INDSCAL, SIAM J. Matrix Anal. Appl., 36(4):15671589, 2015. arXiv:1405.6238
 M. Sørensen, I. Domanov and L. De Lathauwer. Coupled Canonical Polyadic Decompositions
and (Coupled) Decompositions in Multilinear rank$(L_{r,n}, L_{r,n}, 1)$ terms  Part II: Algorithms,
SIAM J. Matrix Anal. Appl., 36(3):10151045, 2015.
pdf
 I. Domanov and L. De Lathauwer. Canonical polyadic decomposition of thirdorder tensors: reduction
to generalized eigenvalue decomposition, SIAM J. Matrix Anal. Appl., 35(2):636660, 2014.
pdf of paper, pdf of supplementary materials, merged into one file at arXiv:1312.2848
 I. Domanov and L. De Lathauwer. On the Uniqueness of the Canonical Polyadic Decomposition of
thirdorder tensors  Part II: Uniqueness of the overall decomposition,
SIAM J. Matrix Anal. Appl., 34(3):876903, 2013. arXiv:1301.4603
 I. Domanov and L. De Lathauwer. On the Uniqueness of the Canonical Polyadic Decomposition of
thirdorder tensors  Part I: Basic Results and Uniqueness of One Factor Matrix,
SIAM J. Matrix Anal. Appl., 34(3):855875, 2013. arXiv:1301.4602
Publications in proceedings:
 I. Domanov and L. De Lathauwer. Enhanced Line Search for Blind Channel Identification Based
on the Parafac Decomposition of Cumulant Tensors, in Proc. of the 19th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2010), Budapest, Hungary, Jul. 2010, pp. 10011002. pdf
 I. Domanov and L. De Lathauwer. Blind Channel Identification of MISO Systems Based on the CP Decomposition of Cumulant Tensors,
in Proc. of the 2011 European Signal Processing Conference
(EUSIPCO 2011), Barcelona, Spain, Aug.Sep. 2011, pp. 22152218. pdf
Journal publications on spectral analysis of bounded operators:
 I. Domanov. On invariant subspaces of matrices: A new proof of a theorem of Halmos,
Lin. Alg. Appl., 433(1112):22552256, 2010.pdf
 I. Domanov and M. Malamud. On the Spectral Analysis of Direct Sums of RiemannLiouville Operators
in Sobolev Spaces of Vector Functions, Integral Equations Operator Theory, 63(2):181215, 2009.pdf
 I. Domanov I. On the spectrum of the operator which is a composition of integration and substitution,
Studia Mathematica, 185(1):4965, 2008.pdf
 I. Domanov I. On the spectrum and eigenfunctions of the operator $(Vf)(x)=\int_0^{x^\alpha}f(t)dt$,
Banach Center Publ., 75:137142, 2007.pdf
 I. Domanov. On cyclic subspaces and unicellularity of the operator $(V_{q,w}f)(x)=q(x)\int_0^xf(t)w(t)dt$,
Ukrainian Mathematical Bulletin, 1(2):177219, 2004. pdf
 I. Domanov and V. Surovtseva. On the reflexivity of the operator $J^\alpha_k\oplus J^\alpha_{k+s}$,
Reports of the National Academy of Sciences of Ukraine, Dopovidi NANU,
9:2630, 2004.
 I. Domanov. Spectral Analysis of Powers of the Operator $(V_{q,w}f)(x)=q(x)\int_0^xf(t)w(t)dt$,
Mathematical Notes,73(3):408413, 2003.
 I. Domanov. On Cyclic Subspaces of the Operator $(V_{q,w}f)(x)=q(x)\int_0^xf(t)w(t)dt$,
Russian Mathematical Surveys, 58(1):183184, 2003.
 I. Domanov and M. Malamud. Invariant and hyperinvariant subspaces of an operator $J^\alpha$ and related
operator algebras in sobolev spaces, Lin Alg. Appl., 348(13):209230, 2002.pdf
 I. Domanov. On the Spectral Multiplicity of Some Volterra Operators in Sobolev Spaces,
Mathematical Notes, 72(2):275280, 2002.
 I. Domanov and M. Malamud. On the lattices of Invariant Subspaces and Hyperinvariant Subspaces
of the Operator $J^\alpha\otimes B$ in the Sobolev spaces, Mathematical Notes, 70(4):508514, 2001.
 I. Domanov and M. Malamud. Invariant subspaces and hyperinvariant subspaces of an operator $J^\alpha$
defined on Sobolev spaces, Reports of the National Academy of Sciences of Ukraine,
Dopovidi NANU, 7:3742, 2001.
 I. Domanov. On Cyclic and Invariant Subspaces of the Operator $J\otimes B$ in the Sobolev spaces
of vector functions, Methods Funct. Anal. Topology, 5(1): 112, 1999.
 I. Domanov. On Cyclic and Invariant Subspaces of the Operator $J\otimes B$ in the Sobolev spaces,
Reports of the National Academy of Sciences of Ukraine, Dopovidi NANU), 5:2025, 1999.
Grants
and
awards
Grants
and
awards (click to hide)
 2013 October2014 September: KU Leuven PostDoc grant.
 20082009: The Scholarship of the President of Ukraine.
 20052006 : The research grant of the National Academy of
Sciences of Ukraine 0105U006289 :"The investigation of some properties
of integral and differential operators with applications to the general
theory of boundary problems"  the head of the project
 20042006 : The Scholarship of the National
Academy of Sciences of Ukraine for young scientists
 2004October : The Queen Jadwiga Fund Scholarship
(Krakow, Poland)
 2004 : The Premium in honor of Ya.B. Lopatinskii (IAMM)
 2004 : The Diploma and Premium of the National Academy of
Sciences of Ukraine for young scientists
 19992000 : The Scholarship of the Donetsk region
Council for talented pupils students and postgraduate students of the Donetsk
region
 1998 : M.Sc.Diploma with Honor, Donetsk State University
 1998 : The diploma of the first degree at the
Ukrainian competition of the students scientific works. (the competition was held by the Odessa State University)
 1998 : The Diploma and Premium of the National Academy of
Sciences of Ukraine for students
 1996 : First Prize of Mathematical Student Olympiad,
Donetsk State University
 19941995 : Soros Foundation Fellowship grant N GSU051048
 1993 : The diploma of the first third degree at
the Donetsk region mathematical pupils competition
 1993 : The diploma of the third degree at the
AllUkrainian mathematical pupils competition
 1992 : The diploma of the third degree at the
Donetsk region mathematical pupils competition
 1992 : The diploma of the third degree at the AllUkrainian
mathematical pupils competition
Conferences,
seminars, schools
Conferences,
seminars, schools (click to hide)
Talks on tensor
decompositions and their applications:
 Workshop on Tensor Decompositions and Applications, (TDA 2016), Leuven, Belgium, January 1822, 2016 (talk and poster)
 SIAM Conference on Applied Algebraic Geometry, (AG15), Daejeon, Korea, August 37, 2015 (talk)
 Winter School Search for Latent Variables: ICA, Tensors, and NMF, Villard de Lans, France, February 24, 2015 (talk)
 Summer School on An Interdisciplinary Approach to Tensor Decomposition, Trento, Italy, July 1418, 2014 (talk)
 The 7th edition of the multidisciplinary conference on
ThReeway methods In Chemistry And Psychology (and other areas)
(TRICAP2012), Bruges, Belgium, June 27, 2012 (talk)
 The 19th Europian Sihnal Processing Conference (EUSIPCO
2011), Barcelona, Spain, August 29  September 2, 2011 (poster)
 The 17th Conference of the International Linear Algebra
Society (ILAS), Braunschweig, Germany, August 2226, 2011 (talk)
 Workshop on Tensor Decompositions and Applications (TDA
2010), Monopoli, Bari, Italy, September 1317, 2010 (talk)
 The 16th Conference of the International Linear Algebra
Society (ILAS), Pisa, Italy, June 2125, 2010 (2 talks)
 The 19th International Symposium on Mathematical
Theory of Networks and Systems (MTNS 2010), Budapest, Hungary, July 59, 2010
(talk)
 29th Benelux Meeting on Systems and Control(
Heeze, The Netherlands, March 30  April 1, 2010) (talk)
 Dynamical systems control and optimization
(DYSCO), Study Day, November 27, 2008 (poster)
Talks on Volterra (aka
RiemannLiouville) operator (invariant/hyperinvariant/cyclic subspaces) and
related operator algebras):
 Functional analysis Valencia 2000, A Satellite Conference to the Third
European Congress of Mathematics in Barcelona, Valencia, Spain, July 37, 2000 (talk)
 The 22nd and 23rd conferences of young scientists of mec.math. department of Moscow State University, Moscow,
Russia, 2000, 2001 (talks)
Talks on Volterra
composition operator (spectrum and eigenfunctions):

Talk on the Seminar on Partial Differential Equations of Institute of
Mathematics of the Academy of Sciences of the Czech Republic,
"On the spectrum of the Volterra composition
operator", November 28, 2006.
 Talk on the Seminar on Functional Analysis of Institute of Mathematics
of the Academy of Sciences of the Czech Republic,
"On the spectrum and eigenfunctions of some Volterra type operators",
November 7, 2006.
 The 21st Conference on Operator Theory, Timisoara, Romania, June 29  July 4, 2006 (talk:
On the spectrum of the operator being the composition of integration
and substitution,
link
to abstract )
 The16th Crimean Autumn Mathematical SchoolSymposium, LaspiBatiliman,
Ukraine, September 1729, 2005 (talk)
Participation at
schools:
 Winter School Tensor Decompositions and Blind Signal Separation, Leuven, Belgium, January 1516, 2016
 Winter School Search for Latent Variables: ICA, Tensors, and NMF, Villard de Lans, France, February 24, 2015
 Summer School on An Interdisciplinary Approach to Tensor Decomposition, Trento, Italy, July 1418, 2014
 Summer course "Tensors: Waring problems and Geometric
Complexity Theory", Cortona, Italy, July 113, 2012
 VUBELEC spring school on Identification of (Non)linear
Dynamic Systems, Brussels, Belgium, May 8  June 3, 2011
 Spring School on Analysis: "Some Recent Techniques in
Harmonic Analysis", Paseky nad Jizerou, Czech Republic, May 28  June 3, 2000
 The first Russian Diffiety School, PereslavlZalessky,
Russia, January 26  February 5, 1998
Miscellaneous
Academic Activities:
 Reviewer for MathSciNet (40+ reviews) and ZbMath
 Referee for IEEE Transactions on Signal Processing, IEEE Journal of Selected Topics in Signal Processing, IEEE Signal Processing Letters, SIAM Journal on Matrix Analysis and Applications, Linear and Multilinear
Algebra, Linear Algebra and its Applications, Studia Mathematica, Integral
Equations and Operator Theory, Mathematische Nachrichten