A model with block-Hankel/Toeplitz structure
Block Toeplitz/Hankel structured total least squares
... system model reduction. Finite horizon 2-norm optimal model reduction can be formulated as an STLS problem with a block-Hankel structured data ...balanced model reduction [18], like ...
17
The Kähler mean of Block-Toeplitz matrices with Toeplitz structured block
... matrix structure is desirable for in- terpretations in ...present structure is that of PD Toeplitz matrices, which we endow with a geometry originating in signal processing ...
22
On inverse eigenvalue problems for block Toeplitz matrices with Toeplitz blocks
... symmetric block Toeplitz matrices with symmetric Toeplitz ...for Toeplitz matrices. First we expose the structure of the eigenvectors of the so-called generalized centrosymmet- ric ...
16
Nehari's theorem for convex domain Hankel and Toeplitz operators in several variables
... For our purposes, general truncated correlation operators will only appear in intermediate steps toward proving the main results, but they also carry independent interest. They were introduced in [ 1 ], where their ...
33
Block Toeplitz operators with rational symbols
... generally, block Toeplitz oper- ators; and particularly, Toeplitz determinants) are of importance in connection with a variety of problems in physics, and in particular, in the field of quantum ...of ...
6
Invertibility theory for Toeplitz plus Hankel operators and singular integral operators with flip
... The following result is well known [3,7] and answers the question about the uniqueness of the factors A þ and A in a factorization. In order to simplify the statement we will assume without loss of generality that the ...
43
Toeplitz kernels and model spaces
... Nakazi’s paper is mostly concerned with finite-dimensional Toeplitz ker- nels, but does explore the role of rigid functions in the context of Toeplitz kernels. He uses the term p-strong for an outer ...
21
The autoregressive stochastic block model with changes in structure
... assortative block structure were ...posterior block member- ship was obtained as shown in Figure 2.11b. The block structure found indicates that nine blocks ...The model ...
179
Model spaces and Toeplitz kernels in reflexive Hardy spaces
... of model spaces , which have generated an enormous interest; they provide the natural setting for truncated Toeplitz operators and are relevant in connection with the study of a variety of topics such as ...
27
Transformation of frequency-magnitude relation prior to large events in the model of block structure dynamics
... the block base in contact with the underlying medium. Relative block dis- placements take place along the fault ...blocks. Block motion is defined so that the system is in a quasistatic equilibrium ...
12
Asymptotics of Toeplitz, Hankel, and Toeplitz plus Hankel determinants with Fisher-Hartwig singularities
... n-dimensional Toeplitz determinants whose symbols possess Fisher-Hartwig singularities on a smooth ...of Hankel determinants on a finite interval as well as determinants of Toeplitz+Hankel ...
43
Fast algorithms for Toeplitz and Hankel matrices
... a Toeplitz matrix the central submatrices are equal to leading principal submatrices, centro- nonsingularity means that every second leading principal submatrix is ...
59
Introduction to Fredholm, Toeplitz and Hankel Operator
... Fredholm, Toeplitz and Hankel op- erator” submitted by me to the Indian Institute of Technology, Hyderabad for the award of the degree of Master of Science in Mathematics contains a literature survey of the ...
62
A new algebra of Toeplitz-plus-Hankel matrices and applications
... a Toeplitz- plus-Hankel ...symmetrical Toeplitz-plus-centrosymmetrical Hankel matrix of equal row sums having a prescribed real ...regular Toeplitz matrix having prescribed ...
14
Finite rank sums of products of Toeplitz and Hankel operators
... all Toeplitz operators and then give a characterization for the operators to have finite rank in terms of certain boundary conditions and harmonicity of a function induced by the symbols; see Theorem ...
12
Products of Toeplitz and Hankel operators on the Bergman space in the polydisk
... Abstract. In this paper we obtain a condition for analytic square integrable functions f, g which guarantees the boundedness of products of the Toeplitz operators T f T g ¯ densely defined on the Bergman space in ...
14
Toeplitz algebra and Hankel algebra on the harmonic Bergman space
... compact Toeplitz operators on the harmonic Bergman ...the Toeplitz algebra and the Hankel ...the Toeplitz algebra or the Hankel algebra is ...
18
Toeplitz and Hankel operators on Hardy spaces of complex domains
... real-valued Toeplitz operators in the annulus, focusing on eigenvalues and eigenfunctions, including for higher order annuli, and amongst other results the general form of an eigenfunction is ...
107
On the Structure of Positive Semi-Definite Finite Rank General Domain Hankel and Toeplitz Operators in Several Variables
... Abstract Multivariate versions of the Kronecker theorem in the continuous multivariate setting has recently been published, that characterize the generating functions that give rise to f[r] ...
30
A handy formula for the Fredholm index of Toeplitz plus Hankel operators
... extended Toeplitz algebra In the proof of the announced index formula for Toeplitz plus Hankel operators, we shall need an extension of the results of the previous section to certain matrix ...
27