A homotopic residual correction process

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 1988, Issue , 2001, Pages 644-649

  Pan, V Y ^a  

^a CITY UNIVERSITY OF NEW YORK   (United States)

Author keywords

Homotopic algorithms; Matrix inverse; Newton iteration; Residual correction; Structured matrices

Indexed keywords

INVERSE PROBLEMS; MATRIX ALGEBRA;

CONVERGENCE RATES; GENERALIZED INVERSE; HOMOTOPIC; MATRIX INVERSE; RESIDUAL CORRECTION; STRUCTURED MATRIXES;

ITERATIVE METHODS;

EID: 32944478245     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/3-540-45262-1_76     Document Type: Conference Paper

References (14)

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7. B. N. Parlett, The Symmetric Eigenvalue Problem, Prentice-Hall, Englewood Cliffs, NJ, 1980.
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9. V. Y. Pan, Y. Rami, Newton’s iteration for the Inversion of Structured Matrices, Structured Matrices: Recent Developments in Theory and Computation, edited by D.Bini, E. Tyrtyshnikov and P. Yalamov, Nova Science Publishers, USA, 2000.
10. V. Y. Pan, Y. Rami, X. Wang, Newton’s iteration for the Inversion of Structured Matrices, Proc.14th Intern. Symposium on Math. Theory of Network and Systems (MTNS’2000), June 2000.
11. V. Y. Pan, Y. Rami, X Wang, StructuredMatrices and Newton’s Iteration: Unified Approach, preprint.
12. V. Y. Pan, R. Schreiber, An Improved Newton Iteration for the Generalized Inverse of a Matrix, with Applications, SIAM J. on Scientific and Statistical Computing, 12, 5, 1109-1131, 1991.
13. V. Y. Pan, A. Zheng, X. Huang, O. Dias, Newton’s Iteration for Inversion of Cauchy-like and Other Structured Matrices, J. of Complexity, 13, 108-124, 1997.
14. G. Schultz, Iterative Berechnung der Reciproken Matrix, Z. Angew. Meth. Mech., 13, 57-59, 1933