Eduard Weyr on:
[Wikipedia]
[Google]
[Amazon]
Eduard Weyr (June 22, 1852 – July 23, 1903) was a Czech mathematician now chiefly remembered as the discoverer of a certain canonical form for square matrices over algebraically closed fields. Weyr presented this form briefly in a paper published in 1885. He followed it up with a more elaborate treatment in a paper published in 1890. This particular canonical form has been named as the
Eduard Weyr (June 22, 1852 – July 23, 1903) was a Czech mathematician now chiefly remembered as the discoverer of a certain canonical form for square matrices over algebraically closed fields. Weyr presented this form briefly in a paper published in 1885. He followed it up with a more elaborate treatment in a paper published in 1890. This particular canonical form has been named as the Weyr canonical form
In mathematics, in linear algebra, a Weyr canonical form (or, Weyr form or Weyr matrix) is a square matrix satisfying certain conditions. A square matrix is said to be ''in'' the Weyr canonical form if the matrix satisfies the conditions defining ...
in a paper by Shapiro published in The American Mathematical Monthly
''The American Mathematical Monthly'' is a mathematical journal founded by Benjamin Finkel in 1894. It is published ten times each year by Taylor & Francis for the Mathematical Association of America.
The ''American Mathematical Monthly'' is an e ...
in 1999. Previously, this form has been variously called as ''modified Jordan form'', ''reordered Jordan form'', ''second Jordan form'', and ''H-form''.
Weyr's father was a mathematician at a secondary school in Prague, and his older brother, Emil Weyr
Emil Weyr (31 August / 1 September 1848 – 25 January 1894) was an Austrian-Czech mathematician, known for his numerous publications on geometry.
Born in Prague, Weyr attended the Prague Polytechnic, where he was taught by Heinrich Durège and ...
, was also a mathematician. Weyr studied at Prague Polytechnic
Czech Technical University in Prague (CTU, cs, České vysoké učení technické v Praze, ČVUT) is one of the largest universities in the Czech Republic with 8 faculties, and is one of the oldest institutes of technology in Central Europe. It ...
and Charles-Ferdinand University
Charles University ( cs, Univerzita Karlova, UK; la, Universitas Carolina; german: Karls-Universität), also known as Charles University in Prague or historically as the University of Prague ( la, Universitas Pragensis, links=no), is the oldest an ...
in Prague. He received his doctorate from the University of Göttingen in 1873 with dissertation ''Über algebraische Raumcurven''. After a short spell in Paris studying under Charles Hermite and Joseph Alfred Serret, he returned to Prague where he eventually became a professor at Charles-Ferdinand University. Weyr also published research in geometry, in particular projective geometry, projective and differential geometry. In 1893 in Chicago, his paper ''Sur l'équation des lignes géodésiques'' was read (but not by him) at the International Congress of Mathematicians held in connection with the World's Columbian Exposition.
Weyr canonical form
The image shows an example of a general Weyr matrix consisting of two blocks each of which is a basic Weyr matrix. The basic Weyr matrix in the top-left corner has the structure (4,2,1) and the other one has the structure (2,2,1,1).
References
{{DEFAULTSORT:Weyr, Eduard 19th-century Czech people Mathematicians from Austria-Hungary Czech mathematicians Mathematicians from Prague Charles University alumni 1852 births 1903 deaths University of Göttingen alumni Academic staff of Charles University Linear algebraists