Workshop on Numerical Ranges and Numerical Radii

Workshop on Numerical Ranges and Numerical Radii (WONRA) is a biennial workshop series on numerical ranges and numerical radii which began in 1992.

About

Numerical ranges and numerical radii are useful in the study of matrix and operator theory.

These topics have applications in many subjects in pure and applied mathematics, such as

quadratic forms, Banach spaces, dilation theory, control theory, numerical analysis, quantum information science.{{cite book|last1=Bhatia|first1=R.|title=Matrix Analysis|date=1997|publisher=Springer-Verlag|isbn=978-0387948461|pages=349|url=https://www.springer.com/us/book/9780387948461}}

{{cite book|last1=Bonsall|first1=F.|last2=Duncan|first2=J.|title=Numerical Ranges of Operators on Normed Spaces and of Elements of Normed Algebras|date=1971|publisher= Cambridge University Press|isbn=978-0521079884|pages=148}}

{{cite book|last1=Bonsall|first1=F.|last2=Duncan|first2=J.|title=Numerical Ranges II, Vol. 2|date=1973|publisher= Cambridge University Press|isbn=978-0521202275|pages=179}}

{{cite book|last1=Gustafson |first1=K.E.|author1-link=Karl Edwin Gustafson|last2=Rao|first2=D.K.M.|title=Numerical Range: The Field of Values of Linear Operators and Matrices|date=1997|publisher=Springer-Verlag|isbn=978-0387948355|pages=190|url=https://www.springer.com/gp/book/9780387948355}}

{{cite book|last1=Istratescu|first1=B.|title=Introduction to Linear Operator Theory|date=1982|publisher=Marcel Dekker|isbn= 978-0824768966|pages=608}}

{{cite book|last1=Halmos |first1=P.R.|title=A Hilbert Space Problem Book|volume=19|date=1982|publisher=Springer-Verlag|isbn=978-0387906850|pages=373|doi=10.1007/978-1-4615-9976-0|series=Graduate Texts in Mathematics}}

{{cite book|last1=Horn|first1=R.A.|last2=Johnson|first2=C.R.|title=Topics in Matrix Analysis|url=https://archive.org/details/topicsinmatrixan0000horn|url-access=registration|date=1991|publisher= Cambridge University Press|isbn=978-0521467131|pages=[https://archive.org/details/topicsinmatrixan0000horn/page/616 616]}}

History

In the early 1970s, numerical range workshops were organized by Frank Bonsall and John Duncan. More activities were started in early 1990s, including the biennial workshop series, which began in 1992,

and special issues devoted to this workshop were published.{{cite journal|editor-last1=Ando|editor-first1=T.|editor-last2=Li|editor-first2=C.K.|title=Special issue devoted to WONRA|journal=Linear and Multilinear Algebra|date=1994|volume=37|issue=1–3}}

{{cite journal|editor-last1=Ando|editor-first1=T.|editor-last2=Li|editor-first2=C.K.|title=Special issue devoted to WONRA|journal=Linear and Multilinear Algebra|date=1998|volume=43|issue=4}}

{{cite journal|editor-last1=Li|editor-first1=C.K.|editor-last2=Tam|editor-first2=T.Y.|title=Special issue devoted to WONRA|journal=Linear and Multilinear Algebra|date=2006|volume=52|issue=3–4}}

{{cite journal|editor-last1=Li|editor-first1=C.K.|editor-last2=Tam|editor-first2=T.Y.|title=Special issue devoted to WONRA|journal=Linear and Multilinear Algebra|date=2009|volume=57|issue=5}}

=Workshops=

class="wikitable"
#

! Year

! Location

! Organizer(s)

! Participation

! Workshop photo

1

| 1992

| {{flagicon|USA}} Williamsburg, VA, USA

| C. Johnson, C.K. Li

|33

|[http://cklixx.people.wm.edu/wonra1992.jpg Photo]

2

| 1994

| {{flagicon|Portugal}} Coimbra, Portugal,

| N. Bebiano

| 36

|[http://cklixx.people.wm.edu/wonra1994.jpg Photo]

3

| 1996

| {{flagicon|Japan}} Sapporo, Hokkaido, Japan

| T. Ando and K. Okubo

| 36

|[http://cklixx.people.wm.edu/wonra1996.JPG Photo]

4

| 1998

| {{flagicon|USA}} Madison, WI, USA

| R. Brualdi, C.K. Li

| 30

|[http://cklixx.people.wm.edu/wonra1998.jpg Photo]

5

| 2000

| {{flagicon|Greece}} Nafplio, Greece

| J. Maroulas, M. Tsatsomeros

| 29

| [http://cklixx.people.wm.edu/wonra-00.jpg Photo]

6

| 2002

| {{flagicon|USA}} Auburn, AL, USA

| C.K. Li, T.Y. Tam

| 30

| [http://cklixx.people.wm.edu/wonra-02.jpg Photo]

7

| 2004

| {{flagicon|Portugal}} Coimbra, Portugal

| N. Bebiano, R. Lemos, G. Soares

| 33

| [http://cklixx.people.wm.edu/wonra-04.jpg Photo]

8

| 2006

| {{flagicon|Germany}} Bremen, Germany

| C.K. Li, L. Rodman, C. Tretter

| 39

| [http://cklixx.people.wm.edu/wonra-06.jpg Photo]

9

| 2008

| {{flagicon|USA}} Williamsburg, VA, USA

| C.K. Li

| 29

| [http://cklixx.people.wm.edu/wonra-08.jpg Photo]

10

| 2010

| {{flagicon|Poland}} Krakow, Poland

| C.K. Li, F.H. Szafraniec, J. Zemanek

| 40

| [http://cklixx.people.wm.edu/wonra10b.jpg Photo]

11

| 2012

| {{flagicon|Taiwan}} Kaohsiung, Taiwan

| C.K. Li, N.C. Wong

| 48

| [http://cklixx.people.wm.edu/wonra-12.jpg Photo]

12

| 2014

| {{flagicon|China}} Sanya, China

| S.Y. Cheng, M.D. Choi, C.K. Li

| 43

| [http://cklixx.people.wm.edu/wonra-14.jpg Photo]

13

| 2016

| {{flagicon|Taiwan}} Taipei, Taiwan

| M.T. Chien, C.K. Li

| 29

| [http://cklixx.people.wm.edu/wonra2016.jpg Photo]

14

| 2018

| {{flagicon|Germany}} Munich, Germany

| D.Farenick, D.Kribs, C.K.Li, S. Plosker, T. Schulte-Herbruggen

| 32

| [http://cklixx.people.wm.edu/wonra2018-0.jpg Photo]

15

| 2019

| {{flagicon|Japan}} Kawagoe, Japan

| C.K. Li, H. Nakazato, H. Osaka, T. Yamazaki

| 38

| [http://cklixx.people.wm.edu/wonra2019.jpg Photo]

16

| 2023

| {{flagicon|Portugal}} Coimbra, Portugal

| N. Bebiano, R. Lemos, A. Nata G. Soares

| 24

| [http://cklixx.people.wm.edu/wonra-23.jpg Photo]

=Symposium in conferences=

class="wikitable"
Year

! Location

! Conferences

! Organizer(s)

1991

| {{flagicon|USA}} Minneapolis, USA

| Fourth SIAM Conference on Applied Linear Algebra

| C.K. Li

2007

| {{flagicon|China}} Shanghai, China

| International Linear Algebra Society Conference

| C.K. Li

References

{{Reflist}}