Modified Square Root Method of Matrix Inversion

Technometrics ◽  
1962 ◽  
Vol 4 (2) ◽  
pp. 282-287 ◽  
Author(s):  
A. E. Sarhan ◽  
B. G. Greenberg ◽  
Eleanor Rorerts
Keyword(s):  
Matrix Inversion ◽  
Square Root ◽  
Square Root Method

The Distortion Analysis and Restraint of Dual-Frequency Modulation Signals

2013 ◽  
Vol 380-384 ◽  
pp. 3599-3603
Author(s):  
Yang Zhang ◽  
Song Bai Hu ◽  
Shi Hong Liu
Keyword(s):  
The Self ◽  
Far Field ◽  
Square Root ◽  
Dual Frequency ◽  
Frequency Signal ◽  
Distortion Analysis ◽  
Signal Input ◽  
Acoustic Array ◽  
Simulation Results ◽  
Square Root Method

According to the parametric acoustic array theory and Berktay far-field solution, analyze the self-demodulation distortion theory of the DSB method and the square root method with the dual-frequency signal input and present the distortion calculating formulas. Bring forward an adapting modulation algorithm, which can restrain over modulation effectively. Compared with theoretical analysis, the simulation results of MATLAB are satisfactory.

scholarly journals Inversion Free Algorithms for Computing the Principal Square Root of a Matrix

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
Nicholas Assimakis ◽  
Maria Adam
Keyword(s):  
Riccati Equation ◽  
Newton Method ◽  
Continuous Time ◽  
Iterative Algorithms ◽  
Algebraic Method ◽  
Matrix Inversion ◽  
Square Root ◽  
Special Case ◽  
New Algorithms

New algorithms are presented about the principal square root of ann×nmatrixA. In particular, all the classical iterative algorithms require matrix inversion at every iteration. The proposed inversion free iterative algorithms are based on the Schulz iteration or the Bernoulli substitution as a special case of the continuous time Riccati equation. It is certified that the proposed algorithms are equivalent to the classical Newton method. An inversion free algebraic method, which is based on applying the Bernoulli substitution to a special case of the continuous time Riccati equation, is also proposed.

scholarly journals Land suitability evaluation of bilverdy research station for wheat, barley, alfalfa, maize and safflower

2008 ◽  
Vol 3 (Special Issue No. 1) ◽  
pp. S81-S88 ◽  
Author(s):  
A.A. Jafarzadeh ◽  
P. Alamdari ◽  
M.R. Neyshabouri ◽  
S. Saedi M R N
Keyword(s):  
Research Work ◽  
Land Suitability ◽  
Limiting Factors ◽  
Research Station ◽  
Square Root ◽  
Parametric Methods ◽  
Suitability Evaluation ◽  
Land Suitability Evaluation ◽  
Limitation Method ◽  
Square Root Method

In the present study and research work, land suitability evaluation (qualitative classification) was made for the Bilverdy research station of the Islamic Azad University in East Azarbaijan for wheat, barley, alfalfa, maize and safflower. The Simple Limitation Method (SLM), the Limitation Method regarding Number and Intensity (LMNI) and the Parametric Methods (PM) such as the square-root and the Storie methods were used. The landscape, climate and soil and characteristics that influence suitability of the land for particular crops have been combined according to the adopted methodology. Economic factors were excluded and moderate level of management was assumed. The results of different methods show that the most important limiting factors are climate, pH, organic matter (OM), gravel, salinity and sodicity, taken either alone or in combination. For safflower, the cation exchange capacity (CEC) can be added to these factors. Evaluation by the SLM and LMNI methods result in similar suitability classes, which confirms previous findings by other researchers for the same crops. However, in many cases the use of parametric methods, especially the square-root method, turned to be more realistic in distinguishing separate suitability classes. This study not only compares different methods and their results but also evaluates the suitability of the study area for particular crops. According to the square-root method, the area can be recommended as marginally suitable for cultivation of wheat, barley, alfalfa and safflower and is expected to yield about 40–65% of optimal production.

The DSP Design and Implementation of a Directional Audio System through N-Order Approximate Square Root Method

2013 ◽  
Vol 416-417 ◽  
pp. 1147-1151
Author(s):  
Yong Chun Xu ◽  
Zhe Liu ◽  
Jin Yu Guan
Keyword(s):  
Basic Principle ◽  
Floating Point ◽  
Far Field ◽  
Square Root ◽  
Practical Test ◽  
Design And Implementation ◽  
Field Solution ◽  
And Performance ◽  
Square Root Method ◽  
Audio System

The signal preprocessing methods in a directional audio system are almost based on Berkatay far-field solution. In this paper, the basic principle and performance of square root method are analyzed, and also a directional audio system based on floating-point DSP is designed with the 4-order approximate square root method. Through theory simulation and practical test, the effect is proven to be satisfactory.

Sign in / Sign up

Export Citation Format

Share Document