The Square Root Problem and Aluthge transforms of weighted shifts

2017 ◽  
Vol 290 (17-18) ◽  
pp. 2925-2933 ◽  
Author(s):  
Sang Hoon Lee ◽  
Jasang Yoon
Keyword(s):  
Square Root ◽  
Weighted Shifts

scholarly journals The Aluthge transform of unilateral weighted shifts and the Square Root Problem for finitely atomic measures

2019 ◽  
Vol 292 (11) ◽  
pp. 2352-2368 ◽  
Author(s):  
Raúl E. Curto ◽  
Jaewoong Kim ◽  
Jasang Yoon
Keyword(s):  
Square Root ◽  
Weighted Shifts ◽  
Aluthge Transform

scholarly journals Square root for backward operator weighted shifts with multiplicity $2$

2012 ◽  
Vol 6 (2) ◽  
pp. 192-203 ◽  
Author(s):  
Bingzhe Hou ◽  
Geng Tian
Keyword(s):  
Square Root ◽  
Weighted Shifts

VLSI module for high-performance multiply, square root and divide

1992 ◽  
Vol 139 (6) ◽  
pp. 505 ◽  
Author(s):  
S.E. McQuillan ◽  
J.V. McCanny
Keyword(s):  
High Performance ◽  
Square Root

About the Complexity of Square Root Extraction Algorithms in Finite Fields and Residue Rings

Vestnik MEI ◽  
2018 ◽  
Vol 5 (5) ◽  
pp. 79-88
Author(s):  
Sergey B. Gashkov ◽  
◽  
Aleksandr B. Frolov ◽  
Elizaveta Р. Popova ◽  
◽  
...  
Keyword(s):  
Finite Fields ◽  
Square Root ◽  
Root Extraction

The digital function filters – algorithms and applications

2013 ◽  
Vol 61 (2) ◽  
pp. 371-377
Author(s):  
M. Siwczyński ◽  
A. Drwal ◽  
S. Żaba
Keyword(s):  
Digital Filters ◽  
Phase Shifters ◽  
Square Root ◽  
Real Power ◽  
The Real ◽  
Distributed Parameters ◽  
Digital Modeling ◽  
Analysis And Synthesis ◽  
Basic Functions ◽  
Recursive Formulas

Abstract The simple digital filters are not sufficient for digital modeling of systems with distributed parameters. It is necessary to apply more complex digital filters. In this work, a set of filters, called the digital function filters, is proposed. It consists of digital filters, which are obtained from causal and stable filters through some function transformation. In this paper, for several basic functions: exponential, logarithm, square root and the real power of input filter, the recursive algorithms of the digital function filters have been determined The digital function filters of exponential type can be obtained from direct recursive formulas. Whereas, the other function filters, such as the logarithm, the square root and the real power, require using the implicit recursive formulas. Some applications of the digital function filters for the analysis and synthesis of systems with lumped and distributed parameters (a long line, phase shifters, infinite ladder circuits) are given as well.

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