# Reproducing kernels and Riccati equations

International Journal of Applied Mathematics and Computer Science (2001)

- Volume: 11, Issue: 1, page 35-53
- ISSN: 1641-876X

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topDym, Harry. "Reproducing kernels and Riccati equations." International Journal of Applied Mathematics and Computer Science 11.1 (2001): 35-53. <http://eudml.org/doc/207504>.

@article{Dym2001,

abstract = {The purpose of this paper is to exhibit a connection between the Hermitian solutions of matrix Riccati equations and a class of finite dimensional reproducing kernel Krein spaces. This connection is then exploited to obtain minimal factorizations of rational matrix valued functions that are J-unitary on the imaginary axis in a natural way.},

author = {Dym, Harry},

journal = {International Journal of Applied Mathematics and Computer Science},

keywords = {-inner matrixvalued functions; Riccati equations; Lyapunov equations; reproducing kernel spaces; -unitary matrix valued functions; de Branges spaces; -inner matrix-valued functions; $J$-unitary matrix-valued functions},

language = {eng},

number = {1},

pages = {35-53},

title = {Reproducing kernels and Riccati equations},

url = {http://eudml.org/doc/207504},

volume = {11},

year = {2001},

}

TY - JOUR

AU - Dym, Harry

TI - Reproducing kernels and Riccati equations

JO - International Journal of Applied Mathematics and Computer Science

PY - 2001

VL - 11

IS - 1

SP - 35

EP - 53

AB - The purpose of this paper is to exhibit a connection between the Hermitian solutions of matrix Riccati equations and a class of finite dimensional reproducing kernel Krein spaces. This connection is then exploited to obtain minimal factorizations of rational matrix valued functions that are J-unitary on the imaginary axis in a natural way.

LA - eng

KW - -inner matrixvalued functions; Riccati equations; Lyapunov equations; reproducing kernel spaces; -unitary matrix valued functions; de Branges spaces; -inner matrix-valued functions; $J$-unitary matrix-valued functions

UR - http://eudml.org/doc/207504

ER -

## References

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