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 - present
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
Operator
Mathematics
Matrix Function
Mathematics
Rational function
Mathematics
Eigenvalue
Mathematics
Structured Perturbations
Mathematics
Factorization
Mathematics
Network
Recent external collaboration on country level. Dive into details by clicking on the dots.
Research Output 1999 2019
A toeplitz-like operator with rational symbol having poles on the unit circle II: The spectrum
Groenewald, G. J., ter Horst, S., Jaftha, J. & Ran, A. C. M., 1 Jan 2019, Interpolation and Realization Theory with Applications to Control Theory: In honor of Joe Ball. Bolotnikov, V., ter Horst, S., Ran, A. C. M. & Vinnikov, V. (eds.). Springer International Publishing AG, p. 133-154 22 p. (Operator Theory: Advances and Applications; vol. 272).Research output: Chapter in Book / Report / Conference proceeding › Chapter › Academic › peer-review
Essential Spectrum
Otto Toeplitz
Unit circle
Pole
Continuous Spectrum
Preface
Bolotnikov, V., Ter Horst, S., Ran, A. C. M. & Vinnikov, V., 2019, Interpolation and Realization Theory with Applications to Control Theory: In Honor of Joe Ball. Bolotnikov, V., ter Horst, S., Ran, A. C. M. & Vinnikov, V. (eds.). Springer, p. vii-vii 1 p. (Operator Theory: Advances and Applications; vol. 272).Research output: Chapter in Book / Report / Conference proceeding › Foreword/postscript › Academic
A note on inner-outer factorization of wide matrix-valued functions
Frazho, A. E. & Ran, A. C. M., 2018, Operator Theory, Advances and Applications: In Honor of Rien Kaashoek. Springer International Publishing Switzerland, p. 201-214 14 p. (Operator Theory: Advances and Applications; vol. 271).Research output: Chapter in Book / Report / Conference proceeding › Chapter › Academic › peer-review
Factorization
G-function
Rational function
Expand
State Space
A toeplitz-like operator with rational symbol having poles on the unit circle i: Fredholm properties
Groenewald, G. J., ter Horst, S., Jaftha, J. & Ran, A. C. M., 2018, Operator Theory, Advances and Applications: In Honor of Rien Kaashoek. Springer International Publishing Switzerland, p. 239-268 30 p. (Operator Theory: Advances and Applications; vol. 271).Research output: Chapter in Book / Report / Conference proceeding › Chapter › Academic › peer-review
Fredholm Property
Otto Toeplitz
Unit circle
Pole
Unbounded Operators
Canonical form for H-symplectic matrices
Groenewald, G. J., Janse van Rensburg, D. B. & Ran, A. C. M., 2018, Operator Theory, Advances and Applications: In Honor of Rien Kaashoek. Springer International Publishing Switzerland, p. 269-290 22 p. (Operator Theory: Advances and Applications; vol. 271).Research output: Chapter in Book / Report / Conference proceeding › Chapter › Academic › peer-review
Symplectic Matrix
Canonical form
Jordan Form
Invertible matrix
Invertible
Activities 1999 2011
North-West University, Private Bag X6001, Potchefstroom 2520, Zuid Afrika (External organisation)
A.C.M. Ran (Member)2011 → 2017
Activity: Membership › Academic
SIAM Journal on Matirix Analysis and Applications (External organisation)
A.C.M. Ran (Member)2000
Activity: Membership › Academic
Stability properties of invariant subspaces of matrices.
A.C.M. Ran (Speaker)2000
Activity: Lecture / Presentation › Academic
Polar Decomposition in Indefinite Inner Product Spaces.
A.C.M. Ran (Speaker)2000
Activity: Lecture / Presentation › Academic