ArticleslgStudy

mathematics

International Linear Algebra Society

International Linear Algebra Society is a mathematics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand International Linear Algebra Society rather than just read about it. In short: 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, publications, prizes and lectures.

International Linear Algebra Society — main illustration
International Linear Algebra Society — illustration

Key takeaways

  • International Linear Algebra Society belongs to mathematics; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect International Linear Algebra Society to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of International Linear Algebra Society from memory before moving on to harder problems.

Reference excerpt

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, 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 in British Columbia, Canada, May 20–23, 1987, hosted by Dale Olesky and Pauline van den Driessche. 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 (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, and the National Science Foundation. There were 85 in attendance at the conference from 15 countries including Olga Taussky-Todd, a renowned mathematician in Matrix Theory. The proceedings of the Conference appeared in volume 150 of the journal Linear Algebra and Its Applications. 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. 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:

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 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. Typically, the prize is awarded every 3 years and has evolved as a prize to recognize a person's career. The ILAS Olga Taussky and John Todd Prize. Olga Taussky-Todd and John Todd have had a decisive impact on the development of theoretical and numerical linear algebra for over half a century. The ILAS Olga Taussky and John Todd Prize 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 Olga Taussky and John 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 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 (ELA), founded in 1996. The first Editors-in-Chief were Volker Mehrmann and Daniel Hershkowitz. ELA is a platinum open access 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, 2020–2026 Shaun Fallat, 2026-present

… excerpt ends here. Continue reading the full article.

Illustrations

International Linear Algebra Society illustration

Worked examples

Example 1 — a first encounter with International Linear Algebra Society

Start with the simplest possible case. Write down what International Linear Algebra Society claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to International Linear Algebra Society before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about International Linear Algebra Society ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of International Linear Algebra Society

In research
International Linear Algebra Society appears in mathematics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses International Linear Algebra Society in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
International Linear Algebra Society is common in secondary-school and first-year university syllabi. It links to neighbouring topics Linear algebra, Mathematical societies, Mathematics conferences, so understanding it makes those chapters shorter.
In everyday life
Look for International Linear Algebra Society outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.
Ask Teacher Smith questions about this articleOpens your AI tutor with a question about “International Linear Algebra Society” →

Affiliate

Preply — study more efficiently by working with a personal tutor. 50% off.

How to study International Linear Algebra Society in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what International Linear Algebra Society means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain International Linear Algebra Society out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is International Linear Algebra Society in simple terms?

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, publications, prizes and lectures.

Why does International Linear Algebra Society matter?

Because it connects several mathematics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study International Linear Algebra Society?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on International Linear Algebra Society.

Tags

  • Linear algebra
  • Mathematical societies
  • Mathematics conferences
  • Matrix theory
  • Scientific organizations established in 1989

Keep exploring