شماره ركورد كنفرانس :
4091
عنوان مقاله :
Determination of condition number of inverse Vandermonde matrix
پديدآورندگان :
Nazari Alimohammad a-nazari@araku.ac.ir Department of Mathematics, Faculty of Science, Arak University, Arak 38156-8-8349, Iran. , Zeinali Maryam Department of Mathematics, Faculty of Science, Arak University, Arak 38156-8-8349, Iran.
كليدواژه :
Condition number , Vandermonde matrix , QR decomposition , LU decomposition , inverse Vandermonde matrix.
عنوان كنفرانس :
ششمين سمينار آناليز عددي و كاربردهاي آن
چكيده فارسي :
This paper studies the condition number of inverse Vandermonde matrix. We firstly show that this matrix has a QR decomposition. Then we determine the condition number of this matrix by Chebychev polynomial for Ferobenius norm and over its main sub-matrices. Finally, we find a better condition number by LU decomposition of Vandermonde matrix and inverse number. Certainly this condition number is for Vandermonde matrix, too.
