Loading...
Please wait, while we are loading the content...
Similar Documents
A Pad E Approximation Method for Square Roots of Symmetric Positive Definite Matrices
| Content Provider | Semantic Scholar |
|---|---|
| Copyright Year | 2007 |
| Abstract | A numerical method for computing the square root of a symmetric positive deenite matrix is developed in this paper. It is based on the Pad e approximation of p 1 + x in the prime fraction form. A precise analysis allows us to determine the minimum number of terms required in the Pad e approximation for a given error tolerance. Theoretical studies and numerical experiments indicate that the method is more eecient than the standard method based on the spectral decomposition, unless the condition number is very large. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://math.cityu.edu.hk/~mayylu/matsrt.ps.gz |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |