Papers on Matrix Decompositions

[1]  C. Eckart,et al.  The approximation of one matrix by another of lower rank , 1936 .

[2]  L. Mirsky.  SYMMETRIC GAUGE FUNCTIONS AND UNITARILY INVARIANT NORMS , 1960 .

[3]  J. H. Wilkinson.  The algebraic eigenvalue problem , 1966 .

[4]  Alston S. Householder,et al.  Handbook for Automatic Computation , 1960, Comput. J..

[5]  H. Rutishauser.  Computational aspects of F. L. Bauer's simultaneous iteration method , 1969 .

[6]  F. L. Bauer,et al.  Inversion of Positive Definite Matrices by the Gauss-Jordan Method , 1971 .

[7]  G. Stewart.  Error and Perturbation Bounds for Subspaces Associated with Certain Eigenvalue Problems , 1973 .

[8]  G. Stewart.  Introduction to matrix computations , 1973 .

[9]  G. Stewart.  Simultaneous iteration for computing invariant subspaces of non-Hermitian matrices , 1976 .

[10]  G. Stewart,et al.  Reorthogonalization and stable algorithms for updating the Gram-Schmidt QR factorization , 1976 .

[11]  George A. F. Seber,et al.  Linear regression analysis , 1977 .

[12]  G. Stewart.  Perturbation Bounds for the $QR$ Factorization of a Matrix , 1977 .

[13]  G. Stewart.  On the Perturbation of Pseudo-Inverses, Projections and Linear Least Squares Problems , 1977 .

[14]  W. Rheinboldt.  Numerical methods for a class of nite dimensional bifur-cation problems , 1978 .

[15]  J. Goodnight.  A Tutorial on the SWEEP Operator , 1979 .

[16]  G. Stewart.  The Efficient Generation of Random Orthogonal Matrices with an Application to Condition Estimators , 1980 .

[17]  V. Klema.  LINPACK user's guide , 1980 .

[18]  W. Greub.  Linear Algebra , 1981 .

[19]  G. Golub.  Numerical Methods for Solving Least Squares Problems. , 1982 .

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

[21]  Gene H. Golub,et al.  Matrix computations , 1983 .

[22]  G. Stewart.  A second order perturbation expansion for small singular values , 1984 .

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

[24]  Jack Dongarra,et al.  LINPACK Users' Guide , 1987 .

[25]  G. Stewart,et al.  Matrix Perturbation Theory , 1990 .

[26]  A. Barrlund.  Perturbation bounds for theLDLH andLU decompositions , 1991 .

[27]  Ji-guang Sun.  Perturbation bounds for the Cholesky andQR factorizations , 1991 .

[28]  G. W. Stewart,et al.  An updating algorithm for subspace tracking , 1992, IEEE Trans. Signal Process..

[29]  G. Stewart,et al.  A block QR algorithm and the singular value decomposition , 1993 .

[30]  J. Nagy,et al.  Block RLS using row householder reflections , 1993 .

[31]  Gene H. Golub,et al.  Singular value decomposition and least squares solutions , 1970, Milestones in Matrix Computation.

[32]  Gene H. Golub,et al.  Calculating the singular values and pseudo-inverse of a matrix , 2007, Milestones in Matrix Computation.

[33]  Gene H. Golub,et al.  Numerical methods for solving linear least squares problems , 1965, Milestones in Matrix Computation.