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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 - 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 proceedingChapterAcademicpeer-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 proceedingForeword/postscriptAcademic

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 proceedingChapterAcademicpeer-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 proceedingChapterAcademicpeer-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 proceedingChapterAcademicpeer-review

Symplectic Matrix
Canonical form
Jordan Form
Invertible matrix
Invertible

Activities 1999 2011

  • 9 Lecture / Presentation
  • 4 Membership

North-West University, Private Bag X6001, Potchefstroom 2520, Zuid Afrika (External organisation)

A.C.M. Ran (Member)
20112017

Activity: MembershipAcademic

Polar Decomposition in Indefinite Inner Product Spaces.

A.C.M. Ran (Speaker)
2000

Activity: Lecture / PresentationAcademic

SIAM Journal on Matirix Analysis and Applications (External organisation)

A.C.M. Ran (Member)
2000

Activity: MembershipAcademic

Generalized Bezoutians in the theory of algebraic Riccati equations.

A.C.M. Ran (Speaker)
2000

Activity: Lecture / PresentationAcademic

NMC 2001 (External organisation)

A.C.M. Ran (Member)
2000

Activity: MembershipAcademic