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The International Linear Algebra Society (ILAS) is a professional mathematical society organized to promote research and education in
linear algebra Linear algebra is the branch of mathematics concerning linear equations such as: :a_1x_1+\cdots +a_nx_n=b, linear maps such as: :(x_1, \ldots, x_n) \mapsto a_1x_1+\cdots +a_nx_n, and their representations in vector spaces and through matrices. ...
,
matrix theory In mathematics, a matrix (plural matrices) is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object or a property of such an object. For example, \begi ...
and
matrix computation Numerical linear algebra, sometimes called applied linear algebra, is the study of how matrix operations can be used to create computer algorithms which efficiently and accurately provide approximate answers to questions in continuous mathematics. ...
. It serves the international community through conferences, publications, prizes and lectures. Membership in ILAS is open to all mathematicians and scientists interested in furthering its aims and participating in its activities.


History

ILAS was founded in 1989. Its genesis occurred at the Combinatorial Matrix Analysis Conference held at the
University of Victoria The University of Victoria (UVic or Victoria) is a public research university located in the municipalities of Oak Bay and Saanich, British Columbia, Canada. The university traces its roots to Victoria College, the first post-secondary instit ...
in British Columbia, Canada, May 20–23, 1987, hosted by Dale Olesky and
Pauline van den Driessche Pauline van den Driessche (born 1941) is a British and Canadian applied mathematician who is a professor emerita in the department of mathematics and statistics at the University of Victoria, where she has also held an affiliation in the departm ...
. ILAS was initially known as the International Matrix Group, founded in 1987. The founding officers of ILAS were Hans Schneider, President; Robert C. Thompson, Vice President; Daniel Hershkowitz, Secretary; and James R. Weaver, Treasurer.


ILAS Conferences

The inaugural meeting of ILAS took place at
Brigham Young University Brigham Young University (BYU, sometimes referred to colloquially as The Y) is a private research university in Provo, Utah. It was founded in 1875 by religious leader Brigham Young and is sponsored by the Church of Jesus Christ of Latter-day ...
(including one day at the Sundance Mountain Resort) in Provo, Utah, USA, from August 12–15, 1989. The organizing committee consisted of Wayne Barrett, Daniel Hershkowitz, Charles Johnson, Hans Schneider, and Robert C. Thompson. Much additional support came from Don Robinson, Chair of the BYU Mathematics Department, and James R. Weaver, ILAS Treasurer. The conference received support from Brigham Young University, the
National Security Agency The National Security Agency (NSA) is a national-level intelligence agency of the United States Department of Defense, under the authority of the Director of National Intelligence (DNI). The NSA is responsible for global monitoring, collecti ...
, and the
National Science Foundation The National Science Foundation (NSF) is an independent agency of the United States government that supports fundamental research and education in all the non-medical fields of science and engineering. Its medical counterpart is the National I ...
. There were 85 in attendance at the conference from 15 countries including
Olga Taussky-Todd Olga Taussky-Todd (August 30, 1906, Olomouc, Austria-Hungary (present-day Olomouc, Czech Republic) – October 7, 1995, Pasadena, California) was an Austrian and later Czech-American mathematician. She published more than 300 research papers on ...
, a renowned mathematician in Matrix Theory. The proceedings of the Conference appeared in volume 150 of the journal ''
Linear Algebra and Its Applications ''Linear Algebra and its Applications'' is a biweekly peer-reviewed mathematics journal published by Elsevier and covering matrix theory and finite-dimensional linear algebra. History The journal was established in January 1968 with A.J. Hoffm ...
''. The 2nd ILAS conference was held in Lisbon, Portugal, August 3–7, 1992. The chair of the organizing committee was José Dias da Silva. There were 150 participants from 27 countries and the conference was supported by 11 different organizations. The proceedings of the conference can be found in volumes 197-198 of ''
Linear Algebra and Its Applications ''Linear Algebra and its Applications'' is a biweekly peer-reviewed mathematics journal published by Elsevier and covering matrix theory and finite-dimensional linear algebra. History The journal was established in January 1968 with A.J. Hoffm ...
''. ILAS conferences were held the next 4 years, alternating between the United States and Europe, before beginning the standard pattern of holding the Conference two of every three years (with a few exceptions). The number of participants at each ILAS conference has grown steadily through the years. The first ILAS conference outside of the United States and Europe was held in Haifa, Israel in 2001. The first in the Far East was in Shanghai in 2007 and the first in Latin America was in Cancun, Mexico in 2008. The complete list of locations hosting ILAS conferences follows: 1. Provo, Utah, USA (1989) 2. Lisbon, Portugal (1992) 3. Pensacola, Florida, USA (1993) 4. Rotterdam, The Netherlands (1994) 5. Atlanta, Georgia, USA (1995) 6. Chemnitz, Germany (1996) 7. Madison, Wisconsin, USA (1998) 8. Barcelona, Spain (1999) 9. Haifa, Israel (2001) 10. Auburn, Alabama, USA (2002) 11. Coimbra, Portugal (2004) 12. Regina, Saskatchewan, Canada (2005) 13. Amsterdam, The Netherlands (2006) 14. Shanghai, China (2007) 15. Cancun, Mexico (2008) 16. Pisa, Italy (2010) 17. Braunschweig, Germany (2011) 18. Providence, Rhode Island, USA (2013) 19. Seoul, Korea (2014) 20. Leuven, Belgium (2016) 21. Ames, Iowa, USA (2017) 22. Rio de Janeiro, Brazil (2019) 23. Virtual (originally planned for New Orleans, Louisiana, USA) (2021) 24. Galway, Ireland (2022) 25. Madrid, Spain (2023) 26. Kaohsiung, Taiwan (2025)


Prizes and Special Lectures

ILAS has three prizes named after giants in Linear Algebra. * The Hans Schneider Prize. A distinctive feature of the 3rd ILAS meeting held at the
University of West Florida The University of West Florida (West Florida or UWF) is a public university in Pensacola, Florida. Established in 1963 as part of the State University System of Florida, the university sits on the third largest campus in the State University Sy ...
in Pensacola, Florida, March 17–20, 1993, was the institution of the Hans Schneider Prize. This prize was initiated thanks to a donation to ILAS from Hans Schneider, the first president of ILAS and a founding editor of the journal ''
Linear Algebra and Its Applications ''Linear Algebra and its Applications'' is a biweekly peer-reviewed mathematics journal published by Elsevier and covering matrix theory and finite-dimensional linear algebra. History The journal was established in January 1968 with A.J. Hoffm ...
''. Typically, the prize is awarded every 3 years and has evolved as a prize to recognize a person's career. * The ILAS Taussky–Todd Prize.
Olga Taussky-Todd Olga Taussky-Todd (August 30, 1906, Olomouc, Austria-Hungary (present-day Olomouc, Czech Republic) – October 7, 1995, Pasadena, California) was an Austrian and later Czech-American mathematician. She published more than 300 research papers on ...
and John Todd have had a decisive impact on the development of theoretical and numerical linear algebra for over half a century. The
ILAS Taussky–Todd Prize The International Linear Algebra Society (ILAS) is a professional mathematical society organized to promote research and education in linear algebra, matrix theory and matrix computation. It serves the international community through conferences, ...
honors them for their many and varied mathematical achievements and for their efforts in promoting linear algebra and matrix theory. The prize is awarded once every three to four years recognizing a linear algebra researcher in their mid career. The ILAS Taussky–Todd Prize was originally referred to as the Taussky–Todd lecture, and was instituted at the 3rd ILAS meeting held at the University of West Florida in Pensacola, Florida, March 17–20, 1993. * The ILAS Richard A. Brualdi Early Career Prize. The prize is named for Richard A. Brualdi, who has had a major impact on the field, especially in combinatorial matrix theory. In addition, he has been instrumental to the success of ILAS since its inception. The
ILAS Richard A. Brualdi Early Career Prize The International Linear Algebra Society (ILAS) is a professional mathematical society organized to promote research and education in linear algebra, matrix theory and matrix computation. It serves the international community through conferences, ...
was instituted in 2021 and is awarded every three years to an outstanding early career researcher in the field of linear algebra, for distinguished contributions to the field. In addition ILAS awards Special Lectures at ILAS conferences as well as conferences of collaborating mathematics organizations.


Publications

ILAS publishes an electronic journal - the ''
Electronic Journal of Linear Algebra The ''Electronic Journal of Linear Algebra'' is a peer-reviewed platinum open access scientific journal covering matrix analysis and linear algebra, together with their applications. It is published by the International Linear Algebra Society an ...
(ELA''), founded in 1996. The first Editors-in-Chief were
Volker Mehrmann Volker Ludwig Mehrmann (born 1955) is a German mathematician. Education and career At Bielefeld University he completed his PhD in 1982 under Ludwig Elsner and his Habilitation in 1987 with a dissertation on control theory. Mehrmann was from 1 ...
and Daniel Hershkowitz. ''ELA'' is a
platinum open access Open access (OA) is a set of principles and a range of practices through which research outputs are distributed online, free of access charges or other barriers. With open access strictly defined (according to the 2001 definition), or libre op ...
journal, meaning that it is free to all: no subscription and no article processing fee or page charges. ''ELA'' is an all-electronic journal that welcomes high quality mathematical articles that contribute new insights to matrix analysis and the various aspects of linear algebra and its applications. ''ELA'' sets high standards for refereeing while using conventional refereeing of articles that is carried out electronically. ILAS also produces and distributes ''IMAGE,'' a semiannual electronic bulletin founded in 1988 with Robert C. Thompson as its first Editor. ''IMAGE'' contains: essays related to linear algebra activities; feature articles; interviews of linear algebra experts; book reviews; brief reports on conferences; ILAS business notices; announcements of upcoming workshops and conferences; problems and solutions; and news about individual members.


Presidents

Hans Schneider, 1987–1996 Richard A. Brualdi, 1996–2002 Daniel Hershkowitz, 2002–2008 Stephen Kirkland, 2008–2014 Peter Šemrl, 2014–2020 Daniel B. Szyld, 2020–present


Collaborations with other mathematics organizations

ILAS collaborates with the
Society for Industrial and Applied Mathematics Society for Industrial and Applied Mathematics (SIAM) is a professional society dedicated to applied mathematics, computational science, and data science through research, publications, and community. SIAM is the world's largest scientific socie ...
(SIAM), the
American Mathematical Society The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, ...
(AMS) and the
International Workshop on Operator Theory and its Applications International Workshop on Operator Theory and its Applications (IWOTA) was started in 1981 to bring together mathematicians and engineers working in operator theoretic side of functional analysis and its applications to related fields. These inc ...
(IWOTA). The collaboration with SIAM started in 1999. The SIAM Activity Group on Linear Algebra (SIAG/LA) holds a conference every three years (when the year minus 2000 is divisible by 3). As part of the agreement, and to encourage interaction between ILAS and SIAG/LA members, the two societies do not hold conferences in the same year. As a result, ILAS holds conferences two out of every three years. In addition, the two societies exchange speakers with ILAS sponsoring two ILAS speakers at every triennial SIAM Applied Linear Algebra (SIAM ALA) meeting (organized by SIAG/LA) and with SIAM sponsoring a SIAM speaker at every ILAS conference. The first ILAS speakers at a SIAM ALA meeting were Hans Schneider and Hugo Woerdeman in 2000, and the first SIAM speakers at an ILAS conference were
Michele Benzi Michele Benzi (born 1962 in Bologna) is an Italian mathematician who works as a full professor in the Scuola Normale Superiore in Pisa. He is known for his contributions to numerical linear algebra and its applications, especially to the solu ...
and
Misha Kilmer Misha Elena Kilmer is an American applied mathematician known for her work in numerical linear algebra and scientific computing. She is William Walker Professor of Mathematics at Tufts University. Starting July 1, 2021, she will serve as Deputy Dir ...
in 2002. The collaboration with AMS started in late 2020 with the establishment of ILAS as a partner in the
Joint Mathematics Meetings The Joint Mathematics Meetings (JMM) is a mathematics conference hosted annually in early January by the American Mathematical Society (AMS). Frequently, several other national mathematics organizations also participate. The meeting is the largest ...
(JMM). In this capacity ILAS will support a speaker for the "ILAS Lecture" at the JMM to be selected by ILAS. In addition, at least four special sessions at the JMM will be identified as ILAS special sessions, the contents of which will be determined by ILAS. The partnership took effect starting with the JMM 2022 held virtually. The collaboration with IWOTA started in 2017 with the establishment of the Israel Gohberg ILAS-IWOTA Lecture, which is funded by donations. This lecture series consists of biennial lectures either at an ILAS conference or at an IWOTA meeting.
Israel Gohberg Israel Gohberg ( he, ישראל גוכברג; russian: Изра́иль Цу́дикович Го́хберг; 23 August 1928 – 12 October 2009) was a Bessarabian-born Soviet and Israeli mathematician, most known for his work in operator theory a ...
was the founding president of IWOTA and an active member of ILAS. The first Israel Gohberg ILAS-IWOTA Lecturer was
Vern Paulsen Vern Ival Paulsen (born 1951) is an American mathematician, focusing in operator theory, operator algebras, frame theory, C*-algebras, and quantum information theory. Education and career Paulsen studied mathematics at Western Michigan Universit ...
at the 2021 IWOTA Lancaster UK meeting.


References


External links


International Linear Algebra Society (ILAS) home page

Electronic Journal of Linear Algebra (ELA) home page
{{authority control Linear algebra Matrix theory Mathematical societies Mathematics conferences Organizations established in 1989