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DSM for solving linear operator equations
"... N. S. Hoang DSM for solving linear operator equations ..."
Linear Operator Equations with Applications in Control and Signal Processing
"... Introduction It has been argued that the development of mathematical systems theory is one of the greatest achievements of the twentieth century [1]. There are a few key concepts which have enabled this development. One of these concepts is linear operator equations. Problems which give rise to lin ..."
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Cited by 1 (0 self)
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Introduction It has been argued that the development of mathematical systems theory is one of the greatest achievements of the twentieth century [1]. There are a few key concepts which have enabled this development. One of these concepts is linear operator equations. Problems which give rise
Shiftinvariant spaces and linear operator equations
 Israel J. Math
, 1998
"... In this paper we investigate the structure of finitely generated shiftinvariant spaces and solvability of linear operator equations. Fourier transforms and semiconvolutions are used to characterize shiftinvariant spaces. Criteria are provided for solvability of linear operator equations, includin ..."
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Cited by 47 (10 self)
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In this paper we investigate the structure of finitely generated shiftinvariant spaces and solvability of linear operator equations. Fourier transforms and semiconvolutions are used to characterize shiftinvariant spaces. Criteria are provided for solvability of linear operator equations
On Polynomial Solutions of Linear Operator Equations
, 1995
"... Introduction Let K be a field of characteristic 0 and L : K[x] ! K[x] an endomorphism of the Klinear space of univariate polynomials over K. We consider the following computational tasks concerning L: T1. Homogeneous equation Ly = 0: Compute a basis of Ker L in K[x]. T2. Inhomogeneous equation L ..."
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Cited by 51 (14 self)
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Introduction Let K be a field of characteristic 0 and L : K[x] ! K[x] an endomorphism of the Klinear space of univariate polynomials over K. We consider the following computational tasks concerning L: T1. Homogeneous equation Ly = 0: Compute a basis of Ker L in K[x]. T2. Inhomogeneous equation
Polynomial Solutions of Linear Operator Equations
"... The algorithm described here extends the algorithm to find all polynomial solutions of differential and difference equations that was given in [1, 2] to more general operators. It also takes a more efficient approach that avoids using undetermined coefficients. This summary is based on [4]. Let ..."
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The algorithm described here extends the algorithm to find all polynomial solutions of differential and difference equations that was given in [1, 2] to more general operators. It also takes a more efficient approach that avoids using undetermined coefficients. This summary is based on [4]. Let
Iterated solutions of linear operator equations with the Tau Method
 Math. Comput
, 1997
"... Abstract. The Tau Method produces polynomial approximations of solutions of differential equations. The purpose of this paper is (i) to extend the recursive formulation of this method to general linear operator equations defined in a separable Hilbert space, and (ii) to develop an iterative refineme ..."
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Cited by 5 (0 self)
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Abstract. The Tau Method produces polynomial approximations of solutions of differential equations. The purpose of this paper is (i) to extend the recursive formulation of this method to general linear operator equations defined in a separable Hilbert space, and (ii) to develop an iterative
Special Formal Series Solutions of Linear Operator Equations
, 1996
"... The transformation which assigns to a linear operator L the recurrence satisfied by coefficient sequences of the polynomial series in its kernel, is shown to be an isomorphism of the corresponding operator algebras. We use this fact to help factoring qdifference and recurrence operators, and to fin ..."
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Cited by 6 (1 self)
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The transformation which assigns to a linear operator L the recurrence satisfied by coefficient sequences of the polynomial series in its kernel, is shown to be an isomorphism of the corresponding operator algebras. We use this fact to help factoring qdifference and recurrence operators
Operator synthesis II. Individual synthesis and linear operator equations
, 2004
"... The second part of our work on operator synthesis deals with individual operator synthesis of elements in some tensor products, in particular in Varopoulos algebras, and its connection with linear operator equations. Using a developed technique of “approximate inverse intertwining ” we obtain some g ..."
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Cited by 4 (1 self)
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The second part of our work on operator synthesis deals with individual operator synthesis of elements in some tensor products, in particular in Varopoulos algebras, and its connection with linear operator equations. Using a developed technique of “approximate inverse intertwining ” we obtain some
Algorithms of approximate solving of some linear operator equations containing small parameters
"... Abstract—In the paper algorithms of approximate solving of some linear operator equations containing small parameters are described. In particular, an asymptotic method and an alternative variant of the asymptotic method are used. Algorithms and program products represent a new technology of approxi ..."
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Abstract—In the paper algorithms of approximate solving of some linear operator equations containing small parameters are described. In particular, an asymptotic method and an alternative variant of the asymptotic method are used. Algorithms and program products represent a new technology
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