Linear convergence of the row cyclic Jacobi and Kogbetliantz methods

[1]  Zhaojun Bai,et al.  Note on the quadratic convergence of Kogbetliantz's algorithm for computing the singular value decomposition , 1988 .

[2]  Paul Van Dooren,et al.  On Kogbetliantz's SVD Algorithm in the Presence of Clusters , 1987 .

[3]  V. Hari,et al.  On Jacobi methods for singular value decompositions , 1987 .

[4]  C. Paige.  Computing the generalized singular value decomposition , 1986 .

[5]  A. Laub,et al.  Computing the singular value decompostion of a product of two matrices , 1986 .

[6]  Paul Van Dooren,et al.  On the quadratic convergence of Kogbetliantz's algorithm for computing the singular value decomposition , 1986 .

[7]  F. Luk.  Triangular processor array for computing singular values , 1986 .

[8]  Sven Hammarling,et al.  Systolic Array Computation Of The SVD Of Complex Matrices , 1986, Optics & Photonics.

[9]  Franklin T. Luk,et al.  A parallel method for computing the generalized singular value decomposition , 1985, 1985 IEEE 7th Symposium on Computer Arithmetic (ARITH).

[10]  R. Brent,et al.  Computation of the Singular Value Decomposition Using Mesh-Connected Processors , 1983 .

[11]  Tony F. Chan,et al.  An Improved Algorithm for Computing the Singular Value Decomposition , 1982, TOMS.

[12]  Peter Henrici,et al.  An estimate for the norms of certain cyclic Jacobi operators , 1968 .

[13]  James Hardy Wilkinson,et al.  Almost diagonal matrices with multiple or close eigenvalues , 1967 .

[14]  H. P. Kempen.  On the quadratic convergence of the special cyclic Jacobi method , 1966 .

[15]  H. P. Kempen.  On the convergence of the classical Jacobi method for real symmetric matrices with non-distinct eigenvalues , 1966 .

[16]  Arnold Schönhage,et al.  Zur quadratischen Konvergenz des Jacobi-Verfahrens , 1964 .

[17]  J. H. Wilkinson.  Note on the quadratic convergence of the cyclic Jacobi process , 1962 .

[18]  Arnold Schönhage,et al.  Zur Konvergenz des Jacobi-Verfahrens , 1961 .

[19]  P. Henrici.  On the Speed of Convergence of Cyclic and Quasicyclic Jacobi Methods for Computing Eigenvalues of Hermitian Matrices , 1958 .

[20]  E. G. Kogbetliantz.  Solution of linear equations by diagonalization of coefficients matrix , 1955 .

[21]  J. Uhlig.  G. Schröder, Über die Konvergenz einiger Jacobi‐Verfahren zur Bestimmung der Eigenwerte symmetrischer Matrizen. (Forschungsbericht Nr. 1291, Nr. 5 der Schriften des IIM, Serie A) 59 S. u. 5 Tab. Köln/Opladen 1964. Westdeutscher Verlag. Preis brosch. DM 48,50 , 1965 .

[22]  G. Schröder.  Über die Konvergenz einiger Jacobi-Verfahren zur Bestimmung der Eigenwerte symmetrischer Matrizen , 1964 .

[23]  G. Forsythe,et al.  The cyclic Jacobi method for computing the principal values of a complex matrix , 1960 .

[24]  C. Jacobi,et al.  C. G. J. Jacobi's Gesammelte Werke: Über ein leichtes Verfahren, die in der Theorie der Sacularstorungen vorkommenden Gleichungen numerisch aufzulosen , 1846 .

[25]  C. Jacobi.  Ueber eine neue Auflösungsart der bei der Methode der kleinsten Quadrate vorkommenden lineären Gleichungen , 1845 .