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Personal profile

Research

Research on linear algebra, operator theory and systems and control theory.

Several current project are concerned with linear algebra in spaces with an indefinite inner product.

Teaching

Teaching: Mathematical control and systems theory, linear algebra, and although it is not my expertise, I am teaching an Introduction to Financial Mathematics course.

Ancillary activities

  • Stichting Advancement of Mathematics | Amstelveen | Secretaris/ Penningmeester | 1996-02-01

Ancillary activities are updated daily

Education/Academic qualification

Mathematics, PhD, Vrije Universiteit Amsterdam

Mathematics, Master, Vrije Universiteit Amsterdam

Mathematics, Bachelor, Vrije Universiteit Amsterdam

Fingerprint Fingerprint is based on mining the text of the person's scientific documents to create an index of weighted terms, which defines the key subjects of each individual researcher.

Rank One Perturbation Mathematics
Indefinite Inner Product Mathematics
Matrix Function Mathematics
Operator Mathematics
Rational function Mathematics
Eigenvalue Mathematics
Structured Perturbations Mathematics
Subspace Mathematics

Network Recent external collaboration on country level. Dive into details by clicking on the dots.

Research Output 1999 2018

Equivalence after extension and Schur coupling coincide for inessential operators

ter Horst, S., Messerschmidt, M., Ran, A. C. M., Roelands, M. & Wortel, M., Oct 2018, In : Indagationes Mathematicae. 29, 5, p. 1350-1361 12 p.

Research output: Contribution to JournalArticleAcademicpeer-review

Equivalence
Operator
Fredholm Operator
Compact Operator
Invertible

Remembering Leiba Rodman 1949–2015, at IWOTA 2015

Ball, J. A., Kaashoek, M. A., Ran, A. C. M. & Spitkovsky, I. M., 2018, Operator Theory: Advances and Applications. Springer International Publishing Switzerland, p. 3-12 10 p. (Operator Theory: Advances and Applications; vol. 262)

Research output: Chapter in Book / Report / Conference proceedingChapterAcademicpeer-review

Cover

LOW RANK PERTURBATIONS OF QUATERNION MATRICES

Ran, A. & Mehl, C., 2017, In : Electronic Journal of Linear Algebra. 32, p. 514-530

Research output: Contribution to JournalArticleAcademicpeer-review

Open Access
File
Quaternion Matrix
Jordan Block
Eigenvalue
Perturbation
Skew-Hermitian

Wiener-Hopf indices of unitary functions on the unit circle in terms of realizations and related results on Toeplitz operators.

Ran, A., Kaashoek, M. A. & Groenewald, G., 2017, In : Indagationes Mathematicae. 28, 3, p. 649-710

Research output: Contribution to JournalArticleAcademicpeer-review

Toeplitz Operator
Unit circle
Wiener-Hopf Factorization
Matrix Function
Fourier coefficients

Eigenvalue perturbation theory of structured real matrices and their sign characteristics under generic structured rank-one perturbations.

Ran, A., Mehl, C., Mehrmann, V. & Rodman, L., 2016, In : Linear and Multilinear Algebra. 64, p. 527-556

Research output: Contribution to JournalArticleAcademicpeer-review

Activities 1999 2011

  • 9 Lecture / Presentation
  • 4 Membership

Generalized Bezoutians in the theory of algebraic Riccati equations.

Ran, A. C. M. (Speaker)
2000

Activity: Lecture / PresentationAcademic

Polar Decomposition in Indefinite Inner Product Spaces.

Ran, A. C. M. (Speaker)
2000

Activity: Lecture / PresentationAcademic

NMC 2001 (External organisation)

Ran, A. C. M. (Member)
2000

Activity: MembershipAcademic