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- Ivan Markovsky
- Communications and Control Engineering
- 2012

If you really want to be smarter, reading can be one of the lots ways to evoke and realize. Many people who like reading will have more knowledge and experiences. Reading can be a way to gain… (More)

Despite significant recent interest in the identification of electrically stimulated muscle models, current methods are based on underlying models and identification techniques that make them… (More)

- Ivan Markovsky, Konstantin Usevich
- J. Computational Applied Mathematics
- 2014

A software package is presented that computes locally optimal solutions to low-rank approximation problems with the following features: • mosaic Hankel structure constraint on the approximating… (More)

- Ivan Markovsky
- Automatica
- 2008

Fitting data by a bounded complexity linear model is equivalent to low-rank approximation of a matrix constructed from the data. The data matrix being Hankel structured is equivalent to the existence… (More)

- Ivan Markovsky, Maria Luisa Rastello, Amedeo Premoli, Alexander Kukush, Sabine Van Huffel
- Computational Statistics & Data Analysis
- 2006

A new technique is considered for parameter estimation in a linear measurement error model AX ≈ B,A=A0 + Ã,B =B0 + B̃,A0X0 =B0 with row-wise independent and non-identically distributed measurement… (More)

- Ivan Markovsky, Sabine Van Huffel
- Signal Processing
- 2007

We review the development and extensions of the classical total least-squares method and describe algorithms for its generalization to weighted and structured approximation problems. In the generic… (More)

- Alexander Kukush, Ivan Markovsky, Sabine Van Huffel
- Computational Statistics & Data Analysis
- 2004

An adjusted least squares estimator is derived that yields a consistent estimate of the parameters of an implicit quadratic measurement error model. In addition, a consistent estimator for the… (More)

- Jan C. Willems, Paolo Rapisarda, Ivan Markovsky, Bart De Moor
- 43rd IEEE Conference on Decision and Control (CDC…
- 2004

We prove that if a component of the response signal of a controllable linear time-invariant system is persistently exciting of sufficiently high order, then the windows of the signal span the full… (More)

- Ivan Markovsky, Konstantin Usevich
- SIAM J. Matrix Analysis Applications
- 2013

We consider low-rank approximation of affinely structured matrices with missing elements. The method proposed is based on reformulation of the problem as inner and outer optimization. The inner… (More)

- Ivan Markovsky, Sabine Van Huffel, Rik Pintelon
- SIAM J. Matrix Analysis Applications
- 2005

A structured total least squares problem is considered in which the extended data matrix is partitioned into blocks and each of the blocks is block-Toeplitz/Hankel structured, unstructured, or exact.… (More)