Publications of F. van Schagen
Books
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Christiaan Heij, André Ran, and Freek van Schagen,
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Introduction to Mathematical Systems Theory, (Linear Systems, Identification and Control), Birkhäuser Verlag, Basel, 2006, 166 pp.
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I. Gohberg, M.A. Kaashoek, and F. van Schagen,
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Partially Specified Matrices and Operators: Classification, Completion,
Applications, Birkhäuser Verlag, Basel, 1995, 340 pp.
Publications in journals
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M.A. Kaashoek, F. van Schagen,
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On Inversion of Certain Structured Linear Transformations Related
to Block Toeplitz Matrices. In: Operator Theory, Advances and Applications,
A Panorama of Modern Operator Theory and Related Topics,
The Israel Gohberg Memorial Volume,
Vol. 218, 377-386, Birkhäuser Verlag, Basel, 2012.
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I. Gohberg, M.A. Kaashoek, F. van Schagen,
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On inversion of Toeplitz matrices with elements in an algebraic ring, Linear
Algebra and its Applications, 385, 2004, pp. 381-389.
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I. Gohberg, M.A. Kaashoek, F. van Schagen,
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On inversion of
convolution integral operators on a finite interval, In: Operator
Theoretical Methods and Applications to Mathematical Physics,
The Erhard Meister Memorial Volume, OT 147, Birkhäuser
Verlag, Basel, 2004, pp. 277-285.
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I. Gohberg, M.A. Kaashoek, F. van Schagen,
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Finite section method
for linear ordinary differential equations revisited, In: Toeplitz matrices
and singular integral equations. The Bernd
Silbermann Anniversary Volume, OT 135, Birkhäuser Verlag, Basel, 2002,
pp. 183-191
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I. Gohberg, M.A. Kaashoek, F. van Schagen,
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Finite Section Method for Difference Equations, In: Operator Theory:
Advances and Applications Vol. 130, Birkhäuser
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Verlag, Basel, 2001, pp.197-207.
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I. Gohberg, M.A. Kaashoek, F. van Schagen,
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Finite Section Method for Linear Ordinary Differential Equations on the
Full Line, In: Interpolation theory, Systems Theory and related topics.
The Harry Dym Anniversary Volume,OT 134, Birkhäuser Verlag, Basel,
2002 , pp. 209-224
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I. Gohberg, M.A. Kaashoek, F. van Schagen,
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Finite Section Method for Linear Ordinary Differential Equations,
Journal
of Differential Equations, 163, 2000, pp. 312-334.
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I. Gohberg, M.A. Kaashoek, F. van Schagen,
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Operator Blocks and Quadruples of Subspaces: Classification and the Eigenvalue
Completion Problem, Linear Algebra and its Applications, 269, 1998,
pp. 65-89.
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F. van Schagen,
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Cyclic Dimensions, Controllability Subspaces and Gohberg-Kaashoek Numbers,
Integral
Equations and Operator Theory, 22, 1995, pp. 248-252.
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I. Gohberg, M.A. Kaashoek, F. van Schagen,
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On the local theory of regular analytic matrix functions, Linear Algebra
and its Applications, 182, 1993, p.9-25.
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I. Gohberg, M.A. Kaashoek, F. van Schagen,
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The eigenvalue completion problem for blocks and related control problems,
Linear
Algebra and its Applications, 170, 1992, 201-206.
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I. Gohberg, M.A. Kaashoek, F. van Schagen,
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Eigenvalues of completions of submatrices, Linear and Multilinear Algebra,
25, 1989, p.55-70.
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I. Gohberg, M.A. Kaashoek, F. van Schagen,
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Rational contractive and unitary interpolants in realized form, Integral
Equations and Operator Theory 11 (1988), p.105-127.
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I. Gohberg, M.A. Kaashoek, F. van Schagen,
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Szegö-Kac-Achiezer formulas in terms of realization of the symbol,
Journal
of Functional Analysis 74, 1987, p.24-51.
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I. Gohberg, M.A. Kaashoek, F. van Schagen,
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Non-compact integral operators with semi-separable kernels and their discrete
analogues: inversion and Fredholm properties, Integral Equations and
Operator Theory 7, 1984, p.642-703.
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I. Gohberg, M.A. Kaashoek, F. van Schagen,
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Rational matrix and operator functions with prescribed singularities, Integral
Equations and Operator Theory 5, 1982, p.673-717.
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I. Gohberg, M.A. Kaashoek, F. van Schagen,
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Similarity of operator blocks and canonical forms. II. Infinite dimensional
case and Wiener-Hopf factorization, in Topics in Modern Operator Theory
,
Operator Theory: Advances and Applications Vol. 2, Birkhäuser Verlag,
Basel, 1981, p.121-170.
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I. Gohberg, M.A. Kaashoek, F. van Schagen,
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Similarity of operator blocks and canonical forms. I. General results,
feedback equivalence and Kronecker indices, Integral Equations and Operator
Theory 3, 1980, p.350-396.
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I. Gohberg, M.A. Kaashoek, F. van Schagen,
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Common multiples of operator polynomials with analytic coefficients, Manuscripta
Mathematica 25, 1978, p.279-314.
Internal reports
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I. Gohberg, M.A. Kaashoek, F. van Schagen,
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The local theory of regular matrix polynomials, Rapport WS-379,
Faculteit Wiskunde en Informatica, Amsterdam, mei 1991.
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