Classification problems in linear algebra and system theory

• Grant number: 15/05864-9
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Start date: March 01, 2016
• End date: December 31, 2016
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Vyacheslav Futorny
• Grantee: Vyacheslav Futorny
• Visiting researcher: Volodymyr 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
• Associated research grant: 14/09310-5 - Algebraic structures and their representations, AP.TEM

Abstract

This is a research project of the study of canonical forms in Linear Algebra, including pairs of symmetric, skew-symmetric and Hermitian forms; study of anti-unitary anti-euclidean spaces and implicit linear systems. (AU)

Scientific publications

(8)

(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)

FUTORNY, VYACHESLAV; KLYMCHUK, TETIANA; SERGEICHUK, VLADIMIR V.. Roth's solvability criteria for the matrix equations AX - (X)over-capB = C and X - A(X)over-capB = C over the skew field of quaternions with an involutive automorphism q -> (q)over-cap. Linear Algebra and its Applications, v. 510, p. 246-258, DEC 1 2016. (14/09310-5, 15/05864-9)

DMYTRYSHYN, ANDRII; FUTORNY, VYACHESLAV; KLYMCHUK, TETIANA; SERGEICHUK, VLADIMIR V.. Generalization of Roth's solvability criteria to systems of matrix equations. Linear Algebra and its Applications, v. 527, p. 294-302, AUG 15 2017. (14/09310-5, 15/05864-9)

MELEIRO, JUAN; SERGEICHUK, VLADIMIR V.; SOLOVERA, THIAGO; ZAIDAN, ANDRE. Classification of linear mappings between indefinite inner product spaces. Linear Algebra and its Applications, v. 531, p. 356-374, OCT 15 2017. (15/05864-9)

FUTORNY, VYACHESLAV; HORN, ROGER A.; SERGEICHUK, VLADIMIR V.. Specht's criterion for systems of linear mappings. Linear Algebra and its Applications, v. 519, p. 278-295, APR 15 2017. (14/09310-5, 15/05864-9)

FUTORNY, VYACHESLAV; KLYMCHUK, TETIANA; PETRAVCHUK, ANATOLII P.; SERGEICHUK, VLADIMIR V.. Wildness of the problems of classifying two-dimensional spaces of commuting linear operators and certain Lie algebras. Linear Algebra and its Applications, v. 536, p. 201-209, JAN 1 2018. (14/09310-5, 15/05864-9)

DA FONSECA, CARLOS M.; FUTORNY, VYACHESLAV; RYBALKINA, TETIANA; SERGEICHUK, VLADIMIR V.. Topological classification of systems of bilinear and sesquilinear forms. Linear Algebra and its Applications, v. 515, p. 1-5, FEB 15 2017. (14/09310-5, 15/05864-9)

ABARA, MA. NERISSA M.; MERINO, DENNIS I.; RABANOVICH, VIACHESLAV I.; SERGEICHUK, VLADIMIR V.; STA. MARIA, JOHN PATRICK. Each n-by-n matrix with n > 1 is a sum of 5 coninvolutory matrices. Linear Algebra and its Applications, v. 508, p. 246-254, NOV 1 2016. (15/05864-9)

FUTORNY, VYACHESLAV; GROCHOW, JOSHUA A.; SERGEICHUK, VLADIMIR V.. Wildness for tensors. Linear Algebra and its Applications, v. 566, p. 212-244, APR 1 2019. (14/09310-5, 15/05864-9)