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In the same spirit than the [http://gdrcorelec.ups-tlse.fr/index.php?title=MINI-SCHOOL_2017 1st edition],  [http://gdrcorelec.ups-tlse.fr/index.php?title=MINI-SCHOOL_2018 2nd edition], [https://wiki.lct.jussieu.fr/gdrnbody/index.php/MINI-SCHOOL_2019 3rd edition], and [https://wiki.lct.jussieu.fr/gdrnbody/index.php/MINI-SCHOOL_2022 4th edition].
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In the same spirit than the [http://gdrcorelec.ups-tlse.fr/index.php?title=MINI-SCHOOL_2017 1st edition],  [http://gdrcorelec.ups-tlse.fr/index.php?title=MINI-SCHOOL_2018 2nd edition], the [https://wiki.lct.jussieu.fr/gdrnbody/index.php/MINI-SCHOOL_2019 3rd edition], and the [https://wiki.lct.jussieu.fr/gdrnbody/index.php/MINI-SCHOOL_2022 4th edition].
 
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Two courses will be proposed:
 
Two courses will be proposed:
  
* 1) '''Advanced and numerical linear algebra''' (8.5 hours) by '''[https://www.imo.universite-paris-saclay.fr/~antoine.levitt/ Antoine Levitt]''', Laboratoire de Mathématiques d'Orsay, Université Paris-Saclay, Orsay.
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* 1) '''TBA''' (9 hours) by '''[https://www.imo.universite-paris-saclay.fr/~antoine.levitt/ Antoine Levitt]''', Laboratoire de Mathématiques d'Orsay, Université Paris-Saclay, Orsay.
  
Indicative program (subject to changes):<br>
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''Indicative program (subject to changes and extension):''<br>
  
- Reminders in linear algebra<br>
 
- Galerkin, projections, variational principles, resolutions of the identity, dual bases<br>
 
- What not to do when solving linear and eigenvalue problems<br>
 
- Convergence theory of Krylov methods<br>
 
- Diagnosing convergence issues, with examples<br>
 
- Error estimation and perturbation theory<br>
 
  
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'''[[https://www.youtube.com/playlist?list=PLGN9wsZ5u_MOPIaSi-TbMxCU6na2wI3_T VIDEO]]<br>
 
References:<br>
 
-  Lloyd N. Trefethen, David Bau III, ''Numerical Linear Algebra'', SIAM (First edition in 1997, Twenty-fifth anniversary edition in 2022). [https://cdn.bc-pf.org/resources/math/algebra/linear_algebra/Trefethen_Bau-Numerical_Linear_Algebra.pdf link]<br>
 
- Yousef Saad, ''Iterative methods for sparse linear systems (2nd edition)'', SAIM, 2003. [https://www-users.cse.umn.edu/~saad/books.html link] <br>
 
- Yousef Saad, ''Numerical Methods for Large Eigenvalue Problems (2nd edition)'', SIAM, 2011. [https://www-users.cse.umn.edu/~saad/books.html link]
 
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* 2) '''TBA''' (9 hours) by ''' [https://msdupuy.github.io/ Mi-Song Dupuy]''', Laboratoire Jacques-Louis Lions, Sorbonne Université, Paris.  
* 2) '''Old and new tensor methods for quantum chemistry''' (8.5 hours) by ''' [https://msdupuy.github.io/ Mi-Song Dupuy]''', Laboratoire Jacques-Louis Lions, Sorbonne Université, Paris.  
 
 
        
 
        
Indicative program (subject to changes):<br>
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''Indicative program (subject to changes and extension):''<br>
 
 
- Tensors: occurrence in quantum chemistry, reshape of a tensor and singular value decomposition<br>
 
- Classical tensor formats:<br>
 
&nbsp;&nbsp;&nbsp;&nbsp;- Canonical tensors<br>
 
&nbsp;&nbsp;&nbsp;&nbsp;- Tucker format<br>
 
&nbsp;&nbsp;&nbsp;&nbsp;- DMRG: tensor trains/matrix product states<br>
 
- Why DMRG works?<br>
 
&nbsp;&nbsp;&nbsp;&nbsp;- Hastings area law for one-dimensional systems<br>
 
&nbsp;&nbsp;&nbsp;&nbsp;- The reordering problem in quantum chemistry and the quantum mutual information<br>
 
 
 
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'''[[https://www.youtube.com/playlist?list=PLGN9wsZ5u_MME2D-HmbxraQ-Bx0lpgxFs VIDEO]] [[Media:Lecture_notes_dupuy_2023.pdf|[Lecture notes]]]'''
 
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This year, there will be also a special colloquium:
 
 
 
'''An Overview of High Performance Computing and Future Requirements''' (1 hour) by '''[https://netlib.org/utk/people/JackDongarra/ Jack Dongarra]''', The University of Tennessee, Oak Ridge National Laboratory, and University of Manchester, USA and UK.<br>
 
'''<font color="red">Tuesday 6 June, 14:00-15:00, Amphi 24</font>'''
 
  
In this talk we examine how high performance computing has changed over the last ten years and look toward the future in terms of trends. These changes have had and will continue to impact our numerical scientific software significantly. A new generation of software libraries and algorithms are needed for the effective and reliable use of (wide area) dynamic, distributed, and parallel environments. Some of the software and algorithm challenges have already been encountered, such as management of communication and memory hierarchies through a combination of compile-time and run-time techniques, but the increased scale of computation, depth of memory hierarchies, range of latencies, and increased run-time environment variability will make these problems much harder.
 
  
 
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[[Image:Levitt.jpg|300px]][[Image:Dupuy.jpg|300px]][[Image:Dongarra.jpg|300px]][[Image:Minischoolaudience.jpeg|300px]]
 
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== Schedule ==
 
== Schedule ==
  
 
{| border="5" |
 
{| border="5" |
! <center><font color="blue">Monday 5 June</font> <br>
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! <center><font color="blue">Monday 5 June Morning</font> <br>
 
Tower 15-16, room 309</center>
 
Tower 15-16, room 309</center>
! <center><font color="blue">Tuesday 6 June</font> <br>
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! <center><font color="blue">Tuesday 6 June Morning</font> <br>
 
Tower 15-16, room 309</center>
 
Tower 15-16, room 309</center>
! <center><font color="blue">Wednesday 7 June</font><br>
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! <center><font color="blue">Wednesday 7 June Morning</font><br>
 
Tower 15-16, room 309</center>
 
Tower 15-16, room 309</center>
 
|- align="left"
 
|- align="left"
 
!'''<font color="red">8:45-9:00 Arrivals/Welcome</font>'''!! !!
 
!'''<font color="red">8:45-9:00 Arrivals/Welcome</font>'''!! !!
 
|- align="left"
 
|- align="left"
! '''9:00-10:30''' Levitt 1
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! '''9:00-10:30''' Lecture
!'''9:00-10:30''' Dupuy 3
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!'''9:00-10:30''' Lecture
!'''9:00-10:30''' Levitt 5
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!'''9:00-10:30''' Lecture
 
|-align="left"
 
|-align="left"
 
!<font color="green">10:30-10:45 Coffee break</font>  
 
!<font color="green">10:30-10:45 Coffee break</font>  
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!<font color="green">10:30-10:45 Coffee break</font>
 
!<font color="green">10:30-10:45 Coffee break</font>
 
|-align="left"
 
|-align="left"
!'''10:45-12:15''' Levitt 2
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!'''10:45-12:15''' Lecture
!'''10:45-12:15''' Levitt 3
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!'''10:45-12:15''' Lecture
!'''10:45-12:15''' Levitt 6
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!'''10:45-12:15''' Lecture
 
|-align="left"
 
|-align="left"
 
!  <font color="green">12:15-14:00 Lunch at L'Ardoise (Tower 25)</font>
 
!  <font color="green">12:15-14:00 Lunch at L'Ardoise (Tower 25)</font>
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!  <font color="green">12:15-14:00 Lunch at L'Ardoise (Tower 25)</font>
 
!  <font color="green">12:15-14:00 Lunch at L'Ardoise (Tower 25)</font>
 
|-align="left"
 
|-align="left"
!'''14:00-15:30''' Dupuy 1
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!'''14:00-15:30''' Lecture
!<font color="red">'''14:00-15:00''' Colloquium Jack Dongarra (Amphi 24)</font>
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!'''14:00-15:30''' Lecture
!'''14:00-15:30''' Dupuy 5
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!'''14:00-15:30''' Lecture
 
|-align="left"
 
|-align="left"
 
!  <font color="green">15:30-15:45 Coffee break</font>  
 
!  <font color="green">15:30-15:45 Coffee break</font>  
'''15:15-16:15''' Levitt 4
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<font color="green">15:30-15:45 Coffee break</font>
 
!  <font color="green">15:30-15:45 Coffee break</font>  
 
!  <font color="green">15:30-15:45 Coffee break</font>  
 
|-align="left"
 
|-align="left"
!'''15:45-17:15''' Dupuy 2
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!'''15:45-17:15''' Lecture
!<font color="green">16:15-16:30 Coffee break</font>
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!'''15:45-17:15''' Lecture
!'''15:45-17:15''' Dupuy 6
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!'''15:45-17:15''' Lecture
|-align="left"
 
!
 
!'''16:30-17:30''' Dupuy 4
 
!
 
 
|}
 
|}
  
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'''The registration is closed.'''
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If you want to participate, please register by sending an email at
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[mailto:minischool@lct.jussieu.fr minischool@lct.jussieu.fr]
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and indicate:<br>
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- your name and affiliation;<br>
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- whether you want to participate in group lunches the 3 days;<br>
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- whether you are a CNRS staff.<br>
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The number of participants is limited to 50.
  
 
To facilitate the participation of young researchers, no registration fees will be asked.
 
To facilitate the participation of young researchers, no registration fees will be asked.
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Subway (Metro) lines 7 or 10: get off at "Jussieu" station.
 
Subway (Metro) lines 7 or 10: get off at "Jussieu" station.
  
From the main entrance of the campus, go to '''Tower 16'''. Take the stairs or the elevator to the '''third level'''. Find '''corridor 15-16''', and then the '''room 309'''. This is the seminar room of Laboratoire Jacques-Louis Lions. All the lectures will take place in this seminar room.<br>
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From the main entrance of the campus, go to '''Tower 16'''. Take the stairs or the elevator to the '''third level'''. Find '''corridor 15-16''', and then the '''room 309'''. This is the seminar room of Laboratoire Jacques-Louis Lions.<br>  
 
 
The special colloquium given by Jack Dongarra will take place on Tuesday 6 June, 14:00-15:00, Amphi 24 (near Tower 24).
 
  
 
=== Lunches ===  
 
=== Lunches ===  
  
Each day, lunch at Restaurant L'Ardoise (Jussieu campus, entrance near Tower 25) will be offered to a maximum 50 registered participants to the mini-school (see the list of registered participants on the page [[MINI-SCHOOL 2023 List of registered participants|List of registered participants]]).
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Each day, lunch at Restaurant L'Ardoise (Jussieu campus, entrance near Tower 25) will be offered to a maximum 50 registered participants to the mini-school (see the list of registered participants on the page [[MINI-SCHOOL 2022 List of registered participants|List of registered participants]]).
  
 
=== Arriving by Plane ===  
 
=== Arriving by Plane ===  

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