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BEGIN:VEVENT
UID:34@math.technion.ac.il
DTSTART;TZID=Asia/Jerusalem:20230402T143000
DTEND;TZID=Asia/Jerusalem:20230402T153000
DTSTAMP:20230329T110701Z
URL:https://math.technion.ac.il/en/events/directional-asymptotics-of-fejer
-monotone-sequences/
SUMMARY:Directional asymptotics of Fejér monotone sequences
DESCRIPTION:Lecturer:Manish Krishan Lal (University of British Columbia)\n
Location:Amado 814\n Abstract: The notion of Fejér monotonicity is inst
rumental in unifying the convergence proofs of many iterative methods\, su
ch as the Krasnoselskii–Mann iteration\, the proximal point method\, the
Douglas-Rachford splitting algorithm\, and many others. In this paper\, w
e present directionally asymptotical results of strongly convergent subseq
uences of Fejér monotone sequences. We also provide examples to show that
the sets of directionally asymptotic cluster points can be large\, and th
at weak convergence is needed in infinite-dimensional spaces.\n
CATEGORIES:Nonlinear Analysis and Optimization Seminar
END:VEVENT
BEGIN:VEVENT
UID:40@math.technion.ac.il
DTSTART;TZID=Asia/Jerusalem:20230418T153000
DTEND;TZID=Asia/Jerusalem:20230418T163000
DTSTAMP:20230416T073626Z
URL:https://math.technion.ac.il/en/events/clarke-jacobians-bouligand-jacob
ians-and-compact-connected-sets-of-matrices/
SUMMARY:Clarke Jacobians\, Bouligand Jacobians\, and compact connected sets
of matrices
DESCRIPTION:Lecturer:Marian Fabian (Institute of Mathematics of the Czech A
cademy of Sciences) \n Location:Room 814\, Amado Mathematics
Building \n Seminar: Nonlinear Analysis and Optimization\n\nSpeaker: Mar
ian Fabian (Institute of Mathematics of the Czech Academy of Sciences)\n
\nAbstract: We show that every compact convex set of matrices can be under
stood as the Clarke Jacobian\n\nof a suitable Lipschitz mapping. This can
be extended to compact connected sets and Bouligand Jacobians.\nWe will us
e this for discussing the possibility of finding Lipschitz inverses of Lip
schitz mappings.\n\nThe talk follows a recent joint paper with D. Bartl an
d J. Kolar.\n\n \;\n\nPlease note the unusual time!\n
CATEGORIES:Nonlinear Analysis and Optimization Seminar
END:VEVENT
BEGIN:VEVENT
UID:82@math.technion.ac.il
DTSTART;TZID=Asia/Jerusalem:20230611T143000
DTEND;TZID=Asia/Jerusalem:20230611T153000
DTSTAMP:20230531T052400Z
URL:https://math.technion.ac.il/en/events/an-inertial-iterative-algorithm-
for-approximating-solutions-to-variational-inclusion-problems-in-banach-sp
aces/
SUMMARY:An inertial iterative algorithm for approximating solutions to vari
ational inclusion problems in Banach spaces.
DESCRIPTION:Lecturer:Olawale K. Oyewole (Technion)\n Location:Room 814\, Am
ado Mathematics Building\n Abstract: We consider the problem of approxima
ting an element in the solution set of a variational inclusion problem. We
propose an inertial iterative method for solving such problems for the su
m of two monotone operators in the framework of real reflexive Banach spac
es. In order to achieve strong convergence of the generated approximating
sequences\, we use a modified Halpern method. Some numerical experiments a
nd applications of our main result are also presented.\n
CATEGORIES:Nonlinear Analysis and Optimization Seminar
END:VEVENT
BEGIN:VEVENT
UID:84@math.technion.ac.il
DTSTART;TZID=Asia/Jerusalem:20230618T143000
DTEND;TZID=Asia/Jerusalem:20230618T153000
DTSTAMP:20230601T072925Z
URL:https://math.technion.ac.il/en/events/a-regularized-tseng-method-for-s
olving-variational-inclusion-problems-and-its-applications/
SUMMARY:A regularized Tseng method for solving variational inclusion proble
ms and its applications
DESCRIPTION:Lecturer:Adeolu Taiwo (Technion)\n Location:Room 814\, Amado Ma
thematics Building \n Abstract: We study a class of variational inclusion
problems in Hilbert spaces and propose a simple modification of Tseng’s
forward-backward-forward splitting method for solving such problems. The
algorithm is obtained via a regularization procedure and uses self-adaptiv
e step sizes. We show that the approximating sequences generated by our al
gorithm converge strongly to a solution under some suitable assumptions on
the regularization parameters. Moreover\, we apply our results to the ela
stic net penalty problem in statistical learning theory and to bilevel opt
imization problems.\n\nBased on a joint work with Simeon Reich.\n
CATEGORIES:Nonlinear Analysis and Optimization Seminar
END:VEVENT
BEGIN:VEVENT
UID:90@math.technion.ac.il
DTSTART;TZID=Asia/Jerusalem:20230625T143000
DTEND;TZID=Asia/Jerusalem:20230625T153000
DTSTAMP:20230608T073135Z
URL:https://math.technion.ac.il/en/events/comparing-the-methods-of-alterna
ting-and-simultaneous-projections-for-two-subspaces/
SUMMARY:Comparing the Methods of Alternating and Simultaneous Projections f
or Two Subspaces
DESCRIPTION:Lecturer:Rafal Zalas (Technion)\n Location:Room 814\, Amado Mat
hematics Building\n Abstract:\n\nWe study the well-known methods of altern
ating and simultaneous projections when applied to two nonorthogonal linea
r subspaces of a real Euclidean space. Assuming that both methods have a c
ommon starting point chosen from either one of the subspaces\, we show tha
t the method of alternating projections converges significantly faster tha
n the method of simultaneous projections. On the other hand\, we provide e
xamples of subspaces and starting points\, where the method of simultaneou
s projections outperforms the method of alternating projections.\n\nThis i
s joint work with Simeon Reich\n\n \;\n
CATEGORIES:Nonlinear Analysis and Optimization Seminar
END:VEVENT
BEGIN:VEVENT
UID:183@math.technion.ac.il
DTSTART;TZID=Asia/Jerusalem:20240218T143000
DTEND;TZID=Asia/Jerusalem:20240218T153000
DTSTAMP:20240212T060727Z
URL:https://math.technion.ac.il/en/events/regularity-of-the-product-of-two
-relaxed-cutters-with-relaxation-parameters-beyond-two/
SUMMARY:Regularity of the product of two relaxed cutters with relaxation pa
rameters beyond two
DESCRIPTION:Lecturer:Rafal Zalas (Zielona Gora)\n Location:Room 814\, Amado
Mathematics Building\n We study the product of two relaxed cutters having
a common fixed point. We assume that one of the relaxation parameters is
greater than two so that the corresponding relaxed cutter is no longer qua
si-nonexpansive\, but rather demicontractive. We show that if both of the
operators are weakly regular\, regular or linearly regular\, then under ce
rtain conditions\, the resulting product inherits the same type of regular
ity. We then apply these results to proving convergence in the weak\, norm
and linear sense of algorithms that employ such products.\nThis is joint
work with Andrzej Cegielski and Simeon Reich.\n
CATEGORIES:Nonlinear Analysis and Optimization Seminar
END:VEVENT
BEGIN:VEVENT
UID:206@math.technion.ac.il
DTSTART;TZID=Asia/Jerusalem:20240317T143000
DTEND;TZID=Asia/Jerusalem:20240317T153000
DTSTAMP:20240311T114647Z
URL:https://math.technion.ac.il/en/events/existence-and-qualitative-proper
ties-of-positive-solutions-to-a-class-of-fully-nonlinear-elliptic-equation
s/
SUMMARY:Existence and qualitative properties of positive solutions to a cla
ss of fully nonlinear elliptic equations
DESCRIPTION:Lecturer:David Gonzalez-Stolnicki (Technion)\n Location:\n \n
CATEGORIES:Nonlinear Analysis and Optimization Seminar
END:VEVENT
BEGIN:VEVENT
UID:214@math.technion.ac.il
DTSTART;TZID=Asia/Jerusalem:20240331T143000
DTEND;TZID=Asia/Jerusalem:20240331T153000
DTSTAMP:20240321T093214Z
URL:https://math.technion.ac.il/en/events/chaotic-dynamics-in-the-rossler-
system/
SUMMARY:Chaotic Dynamics in the Rössler System
DESCRIPTION:Lecturer:Eran Igra (Technion)\n Location:Amado 814\n Abstract:\
n\nOriginally introduced in 1974 by O.E. Rössler\, the Rössler system is
one of the most famous examples of chaotic flows\, being generated by a s
tretch-and-fold mechanism. Despite being (arguably) the least non-linear f
low one can think of\, the Rössler system is known to be rich in nonline
ar phenomena - for example: spiral homoclinic bifurcations\, stability win
dows and period-doubling routes to chaos to name a few. In this talk we st
ate and prove a topological criterion for the existence of complex dynamic
s for the Rössler system\, which include infinitely many periodic trajec
tories. Time permitting\, we will characterize the topology of these perio
dic trajectories\, prove their persistence under perturbations - as well
as discuss their possible bifurcations and how it all relates to the well-
known Rössler attractor.\n\n \;\n
CATEGORIES:Nonlinear Analysis and Optimization Seminar
END:VEVENT
BEGIN:VEVENT
UID:228@math.technion.ac.il
DTSTART;TZID=Asia/Jerusalem:20240512T133000
DTEND;TZID=Asia/Jerusalem:20240512T143000
DTSTAMP:20240505T051130Z
URL:https://math.technion.ac.il/en/events/monotonicity-of-gaussian-measure
-under-banaszczyk-transforms/
SUMMARY:Monotonicity of gaussian measure under Banaszczyk transforms
DESCRIPTION:Lecturer:Maud Szusterman (Tel Aviv University)\n Location:Amado
814\n Abstract:\nBanaszczyk proved (1998) that given a convex body K with
gaussian measure p ≥1/2 and given an arbitrary sequence of vectors from
the unit ball\, one can balance the sum of these vectors so that it lies
in 5K. The proof relies on the monotonicity of the gaussian measure of con
vex bodies under a certain transform (known as Banaszczyk's transform). In
this talk\, we provide a new\, simpler proof of this monotonicity\, relyi
ng on a reduction to half-planes. We also show that monotonicity holds for
arbitrary convex bodies\, at the cost of a doubly exponential rescaling n
ear p=0. Our results indicate a negative answer to a strong form of a vect
or balancing conjecture due to Banaszczyk and Szarek. This is joint work w
ith P. Nayar.\n
CATEGORIES:Nonlinear Analysis and Optimization Seminar
END:VEVENT
BEGIN:VEVENT
UID:237@math.technion.ac.il
DTSTART;TZID=Asia/Jerusalem:20240602T143000
DTEND;TZID=Asia/Jerusalem:20240602T153000
DTSTAMP:20240516T045907Z
URL:https://math.technion.ac.il/en/events/the-isoperimetric-problem-in-irr
eversible-finsler-manifolds/
SUMMARY:The isoperimetric problem in irreversible Finsler manifolds
DESCRIPTION:Lecturer:Davide Manini (Technion)\n Location:Amado 814\n Abstra
ct:\nThe isoperimetric problem in spaces (both smooth and non-smooth) with
a\ncertain lower bound on the Ricci curvature has been solved in increasi
ng\ngenerality with different approaches\, in both the compact and\nnon-co
mpact setting. In the non-compact setting\, the classical\nisoperimetric
inequality was generalized to the class of manifolds with\nnon-negative R
icci curvature\, coupled with a constraint on the volume\ngrowth of large
balls (the Euclidean volume growth). The equality case\nwas characterize
d as well.\n\nThe irreversibilty of Finsler manifold (i.e.\, the fact that
the induced\ndistance is not symmetric) severely harms the isoperimetric
problem:\nmost well-known isoperimetric inequalities valid for Riemannian\
nmanifolds do not have an analogous counterpart for irreversible Finsler\n
manifolds\, or their counterpart is not sharp. The characterization of\n
the equality case is far from being reached.\n\nIn this talk\, I will pres
ent a sharp isoperimetric inequality for\npossibly irreversible Finsler ma
nifolds with non-negative Ricci\ncurvature\, having Euclidean volume growt
h. I will also characterize the\nequality case and present an applicatio
n to the weighted anisotropic\n\nisoperimetric problem in Euclidean cones.
\n\n \;\n
CATEGORIES:Nonlinear Analysis and Optimization Seminar
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