Research Output per year
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 Journal › Article › Academic › peer-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 proceeding › Chapter › Academic › peer-review
Cover
LOW RANK PERTURBATIONS OF QUATERNION MATRICES
Ran, A. & Mehl, C., 2017, In : Electronic Journal of Linear Algebra. 32, p. 514-530Research output: Contribution to Journal › Article › Academic › peer-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. 649-710Research output: Contribution to Journal › Article › Academic › peer-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. 527-556Research output: Contribution to Journal › Article › Academic › peer-review
Activities 1999 2011
North-West University, Private Bag X6001, Potchefstroom 2520, Zuid Afrika (External organisation)
Ran, A. C. M. (Member)2011 → 2017
Activity: Membership › Academic
Polar Decomposition in Indefinite Inner Product Spaces.
Ran, A. C. M. (Speaker)2000
Activity: Lecture / Presentation › Academic
SIAM Journal on Matirix Analysis and Applications (External organisation)
Ran, A. C. M. (Member)2000
Activity: Membership › Academic
Nieuw Archief voor Wiskunde (External organisation)
Ran, A. C. M. (Member)2000
Activity: Membership › Academic
Stability properties of invariant subspaces of matrices.
Ran, A. C. M. (Speaker)2000
Activity: Lecture / Presentation › Academic