scholarly journals A note on the stability of Toeplitz matrix inversion formulas

2004 ◽  
Vol 17 (8) ◽  
pp. 903-907 ◽  
Author(s):  
You-Wei Wen ◽  
Michael K. Ng ◽  
Wai-Ki Ching ◽  
Hong Liu
Keyword(s):  
Toeplitz Matrix ◽  
Matrix Inversion ◽  
Inversion Formulas ◽  
The Stability

Block Toeplitz Matrix Inversion

1973 ◽  
Vol 24 (2) ◽  
pp. 234-241 ◽  
Author(s):  
Hirotugu Akaike
Keyword(s):  
Toeplitz Matrix ◽  
Matrix Inversion ◽  
Block Toeplitz Matrix

scholarly journals The stability of inversion formulas for Toeplitz matrices

1995 ◽  
Vol 223-224 ◽  
pp. 307-324 ◽  
Author(s):  
Martin H. Gutknecht ◽  
Marlis Hochbruck
Keyword(s):  
Toeplitz Matrices ◽  
Inversion Formulas ◽  
The Stability

The Explicit Inverses of CUPL-Toeplitz and CUPL-Hankel Matrices

2017 ◽  
Vol 7 (1) ◽  
pp. 38-54 ◽  
Author(s):  
Zhao-Lin Jiang ◽  
Xiao-Ting Chen ◽  
Jian-Min Wang
Keyword(s):  
Toeplitz Matrix ◽  
Hankel Matrix ◽  
Structured Matrices ◽  
Hankel Matrices ◽  
The Stability

AbstractIn this paper, we consider two innovative structured matrices, CUPL-Toeplitz matrix and CUPL-Hankel matrix. The inverses of CUPL-Toeplitz and CUPL-Hankel matrices can be expressed by the Gohberg-Heinig type formulas, and the stability of the inverse matrices is verified in terms of 1-, ∞- and 2-norms, respectively. In addition, two algorithms for the inverses of CUPL-Toeplitz and CUPL-Hankel matrices are given and examples are provided to verify the feasibility of these algorithms.

Open discussion

1982 ◽  
Vol 99 ◽  
pp. 605-613
Author(s):  
P. S. Conti
Keyword(s):  
Buenos Aires ◽  
Large Mass ◽  
List Type ◽  
Common Phenomenon ◽  
Open Discussion ◽  
The Stability ◽  
Ring Nebulae

Conti: One of the main conclusions of the Wolf-Rayet symposium in Buenos Aires was that Wolf-Rayet stars are evolutionary products of massive objects. Some questions:–Do hot helium-rich stars, that are not Wolf-Rayet stars, exist?–What about the stability of helium rich stars of large mass? We know a helium rich star of ∼40 MO. Has the stability something to do with the wind?–Ring nebulae and bubbles : this seems to be a much more common phenomenon than we thought of some years age.–What is the origin of the subtypes? This is important to find a possible matching of scenarios to subtypes.

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