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一类E-Vandermonde矩阵的求逆及逆的迭代公式 被引量:2

An Inversion Formula and a Recurrence Algorithm for the Generalized E-Vandermonde Matrix
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摘要 本文给出一类E-Vandermonde矩阵和广义E-Vandermonde矩阵可逆的条件及逆的矩阵表达式,并给出了求逆的迭代公式. The E- are solvable. An inve the E- Vandermonde Vandermonde matrix is invertible if E- Vandermonde matrix equations rsion conditions,an inversion expression and a recurrence algorithm for matrix are given.
出处 《应用数学》 CSCD 北大核心 2007年第3期604-608,共5页 Mathematica Applicata
基金 安徽省教育厅自然科学重点项目(2006KJ066A)和(2006KJ239B)资助
关键词 E-Vandermonde矩阵 广义E-Vandermonde矩阵 迭代公式 KRONECKER积 E- Vandermonde matrix Generalized E- Vandermonde matrix Recurrence al-gorithm Kronecker product
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参考文献9

  • 1陆全.一类广义范德蒙矩阵的求逆公式及递推公式[J].数学的实践与认识,2004,34(7):132-135. 被引量:4
  • 2Bjorck,Pereyra V.Solution of Vandermonde systems of equation[J].Math.Comp.,1970,24,893--903.
  • 3Higham N J.Fast solution of Vandermonde-like systems involving orthogonal polynomials[J].IMAJ,Numer.Anal.,1988,8:473--486.
  • 4Rostk,Vavrinz.Recursive solution of lowner-Vandermonde systems of equations I[J].Linear Algebra Appl.,1995,233:51--65.
  • 5Rostk,Vavrinz.Recursive solution of lowner-vandermonds systems of equations II[J].Linear Algebra Appl.,1996,233/244:597--617.
  • 6Fincht,Heinig,Rostk.An inversion formula and fast algorithm for Cauchy-Vandermonde matrix[J].Linear Algebra Appl.,1993,183:176--191.
  • 7Lu H.Fast solution of confluent Vandermonde linear systems[J].SIAMJ,Matrix and Appl.,1996,17:1277--1289.
  • 8Lu H.Solution of Vandermonde-like systems and confluent Vandermonde-like systems[J].SIAMJ,Matrix and Appl.,1996,17,127--138.
  • 9徐仲,游兆永.范德蒙类矩阵之方程组的递进算法[J].数值计算与计算机应用,1997,18(4):288-297. 被引量:3

二级参考文献6

  • 1Finch T, Heinig G, Rost K. An inversion formula and fast algorithm for Cauchy-Vandermonde matrices[J]. Linear Algebra Appl, 1993, 183: 176-191.
  • 2Finck T, Rost K. Fast inversion of Cauchy-Vandarmonde matrices[J]. Seminar Analysis: Oper Equ Num Anal,Weierstraβ Institut, Berlin, 1989/1990. 69-79.
  • 3Rost K, Vavrinz. Recursive solution of Lowner-Vandermonde systems of equations.Ⅰ[J]. Linear Algebra Appl,1996, 233: 51-65.
  • 4Rost K, Vavrin Z. Recursive solution of Lowner-Vandermonde systems of equations.Ⅱ[J]. Linear Algebra Appl,1995, 223/224: 597-617.
  • 5Walter Gautschi,Gabriele Inglese. Lower bounds for the condition number of Vandermonde matrices[J] 1987,Numerische Mathematik(3):241~250
  • 6Prof. Walter Gautschi. Norm estimates for inverses of Vandermonde matrices[J] 1974,Numerische Mathematik(4):337~347

共引文献5

同被引文献6

  • 1BJROCK,PEREYRA V. Solution of Vandermonde systems of linear equation[J]. Math Comp, 1970,24:893-903.
  • 2HIGH AM N J. Fast solution of Vandermonde-like systems involving orthogonal polynomials[J]. MMAJ Numer Anal, 1988,8:473- 486.
  • 3BjrSck, Pereyra V. Solution of Vandermonde systems of linear equation[Jl. Math. Comp., 1970(24):893 - 903.
  • 4Higham N J. Fast solution of Vandermonde-like systems involving orthogonal polynomials[ J]. MMAJ, Numer. A- nal. , 1988(8) :473 -486.
  • 5徐树芳.矩阵计算的理论与方法[M].北京:北京大学出版社,1995..
  • 6J.H.威尔金森 著,石钟慈,邓健新 译.代数特征值问题[M].北京:科学出版社,2001.

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