271 research outputs found
Factorization of matrix polynomials with symmetries
No full textRan, A.C.M; Rodman, L.. (1992). Factorization of matrix polynomials with symmetries. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/4229
Operator theory, analysis and the state space approach: in honor of Rien Kaashoek
No full textThis volume is dedicated to Rien Kaashoek on the occasion of his 80th birthday and celebrates his many contributions to the field of operator theory during more than fifty years. In the first part of the volume, biographical information and personal accounts on the life of Rien Kaashoek are presented. Eighteen research papers by friends and colleagues of Rien Kaashoek are included in the second part. Contributions by J. Agler, Z.A. Lykova, N.J. Young, J.A. Ball, G.J. Groenewald, S. ter Horst, H. Bart, T. Ehrhardt, B. Silbermann, J.M. Bogoya, S.M. Grudsky, I.S. Malysheva, A. Böttcher, E. Wegert, Z. Zhou, Y. Eidelman, I. Haimovici, A.E. Frazho, A.C.M. Ran, B. Fritzsche, B. Kirstein, C.Madler, J. J. Jaftha, D.B. Janse van Rensburg, P. Junghanns, R. Kaiser, J. Nemcova, M. Petreczky, J.H. van Schuppen, L. Plevnik, P. Semrl, A. Sakhnovich, F.-O. Speck, S. Sremac, H.J. Woerdeman, H. Wolkowicz and N. Vasilevski
Relaxed commutant lifting and Nehari interpolation
Get PDFKaashoek, M.A. [Promotor]Ran, A.C.M. [Promotor
Necessary and sufficient conditions for the existence of a positive definite solution of the matrix equation X+A*X-1A=Q
Get PDFMatrices;numerieke wiskunde
A peculiar permutation phenomenon arising from the singular vector entries of a special class of Toeplitz matrices.
No full textA special Toeplitz matrix of the form
Necessary and sufficient conditions for the existence of a positive definite solution of the matrix equation X+AtX-1=I
Get PDFMatrices;numerieke wiskunde
Wiener-Hopf indices of unitary functions on the unit circle in terms of realizations and related results on Toeplitz operators.
Get PDFWe provide new formulas for the Wiener–Hopf factorization indices of a rational matrix function R which has neither poles nor zeros on the unit circle. In addition, we recover recent results on the Fredholm characteristics of the Toeplitz operator with symbol R via the method of matricial coupling. Furthermore, we present an alternative formula for the index in terms of the Fourier coefficients of R
A toeplitz-like operator with rational symbol having poles on the unit circle i: Fredholm properties
Get PDFIn this paper a definition is given for an unbounded Toeplitzlike operator with rational symbol which has poles on the unit circle. It is shown that the operator is Fredholm if and only if the symbol has no zeroes on the unit circle, and a formula for the index is given as well. Finally, a matrix representation of the operator is discussed
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