Canonical matrices and their miniversal deformations

• Grant number: 10/07278-6
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Start date: September 02, 2010
• End date: March 02, 2011
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Vyacheslav Futorny
• Grantee: Vyacheslav Futorny
• Visiting researcher: Vladimir Sergeichuk
• Visiting researcher institution: National Academy of Sciences of Ukraine (NASU), Ukraine
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil

Abstract

During the visit we are planning to develop a theory of canonical matrices over an arbitrary field of characteristic different from 2, and of miniversal deformations of bilinear and sesquilinear forms. (AU)

Scientific publications

(5)

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

DMYTRYSHYN, ANDRII; FUTORNY, VYACHESLAV; SERGEICHUK, VLADIMIR V.. Miniversal deformations of matrices under {*}congruence and reducing transformations. Linear Algebra and its Applications, v. 446, p. 388-420, APR 1 2014. (10/50347-9, 10/07278-6, 12/18139-2)

FARENICK, DOUGLAS; FUTORNY, VYACHESLAV; GERASIMOVA, TATIANA G.; SERGEICHUK, VLADIMIR V.; SHVAI, NADYA. A criterion for unitary similarity of upper triangular matrices in general position. Linear Algebra and its Applications, v. 435, n. 6, p. 1356-1369, SEP 15 2011. (10/07278-6)

DMYTRYSHYN, ANDRII R.; FUTORNY, VYACHESLAV; SERGEICHUK, VLADIMIR V.. Miniversal deformations of matrices of bilinear forms. Linear Algebra and its Applications, v. 436, n. 7, p. 2670-2700, APR 1 2012. (10/07278-6, 05/59407-6)

DMYTRYSHYN, ANDRII; FUTORNY, VYACHESLAV; SERGEICHUK, VLADIMIR V.. Miniversal deformations of matrices under *congruence and reducing transformations. Linear Algebra and its Applications, v. 446, p. 33-pg., 2014-04-01. (10/50347-9, 12/18139-2, 10/07278-6)

FUTORNY, VYACHESLAV; HORN, ROGER A.; SERGEICHUK, VLADIMIR V.. A canonical form for nonderogatory matrices under unitary similarity. Linear Algebra and its Applications, v. 435, n. 4, p. 830-841, AUG 15 2011. (10/07278-6)