The explicit inverse of nonsingular conjugate-Toeplitz and conjugate-Hankel matrices

2015 ◽  
Vol 53 (1-2) ◽  
pp. 1-16 ◽  
Author(s):  
Zhao-lin Jiang ◽  
Jun-xiu Chen
Keyword(s):  
Hankel Matrices

A note on the eigenvalues of $$g$$ g -circulants (and of $$g$$ g -Toeplitz, $$g$$ g -Hankel matrices)

CALCOLO ◽  
2013 ◽  
Vol 51 (4) ◽  
pp. 639-659 ◽  
Author(s):  
Stefano Serra-Capizzano ◽  
Debora Sesana
Keyword(s):  
Hankel Matrices

Classifying normal Hankel matrices

2009 ◽  
Vol 79 (1) ◽  
pp. 114-117 ◽  
Author(s):  
Kh. D. Ikramov ◽  
V. N. Chugunov
Keyword(s):  
Hankel Matrices

Errata: Small Eigenvalues of Large Hankel Matrices

1968 ◽  
Vol 19 (6) ◽  
pp. 1508
Author(s):  
Harold Widom ◽  
Herbert Wilf
Keyword(s):  
Hankel Matrices ◽  
Small Eigenvalues

scholarly journals Relatively prime polynomials and nonsingular Hankel matrices over finite fields

2011 ◽  
Vol 118 (3) ◽  
pp. 819-828 ◽  
Author(s):  
Mario García-Armas ◽  
Sudhir R. Ghorpade ◽  
Samrith Ram
Keyword(s):  
Finite Fields ◽  
Hankel Matrices

Completions of positive semidefinite operator matrices

2011 ◽  
Author(s):  
Mihály Bakonyi ◽  
Hugo J. Woerdeman
Keyword(s):  
Linear Prediction ◽  
Schur Complement ◽  
Positive Semidefinite ◽  
Positive Definite ◽  
Operator Matrices ◽  
Hankel Matrices

This chapter deals with positive definite and semidefinite completions of partial operator matrices. It considers the banded case in Section 2.1, the chordal case in Section 2.2, the Toeplitz case in Section 2.3, and the generalized banded case and the operator-valued positive semidefinite chordal case in Section 2.6. Section 2.4 introduces the Schur complement and uses it to derive an operator-valued Fejér–Riesz factorization. Section 2.5 is devoted to describing the structure of positive semidefinite operator matrices. Section 2.7 studies the Hamburger problem based on positive semidefinite completions of Hankel matrices. Finally, Section 2.8 indicates the connection with linear prediction. Exercises and notes are provided at the end of the chapter.

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