-
2
-
-
0027668405
-
Multiprecision translation and execution of Fortran programs
-
Bailey D.H. Multiprecision translation and execution of Fortran programs. ACM Trans. Math. Software. 19:1993;288-319.
-
(1993)
ACM Trans. Math. Software
, vol.19
, pp. 288-319
-
-
Bailey, D.H.1
-
3
-
-
0015200767
-
Direct methods for solving symmetric indefinite systems of linear equations
-
Bunch J.R., Parlett B.N. Direct methods for solving symmetric indefinite systems of linear equations. SIAM J. Numer. Anal. 8:1997;639-655.
-
(1997)
SIAM J. Numer. Anal.
, vol.8
, pp. 639-655
-
-
Bunch, J.R.1
Parlett, B.N.2
-
4
-
-
0012095112
-
Y-MP floating point and Cholesky factorization
-
Carter R. Y-MP floating point and Cholesky factorization. Int. J. High Speed Comput. 3:1991;215-222.
-
(1991)
Int. J. High Speed Comput.
, vol.3
, pp. 215-222
-
-
Carter, R.1
-
5
-
-
0039991939
-
A modified Cholesky algorithm based on a symmetric indefinite factorization
-
Cheng S.H., Higham J. A modified Cholesky algorithm based on a symmetric indefinite factorization. SIAM J. Matrix Anal. Appl. 19:1998;1097-1110.
-
(1998)
SIAM J. Matrix Anal. Appl.
, vol.19
, pp. 1097-1110
-
-
Cheng, S.H.1
Higham, J.2
-
7
-
-
0030170479
-
Exploiting zeros on the diagonal in the direct solution of indefinite sparse symmetric linear systems
-
Duff I.S., Reid J.K. Exploiting zeros on the diagonal in the direct solution of indefinite sparse symmetric linear systems. ACM Trans. Math. Software. 22:1996;227-257.
-
(1996)
ACM Trans. Math. Software
, vol.22
, pp. 227-257
-
-
Duff, I.S.1
Reid, J.K.2
-
9
-
-
0030532067
-
On the stability of Cholesky factorization for symmetric quasidefinite systems
-
Gill P.E., Saunders M.A., Shinnerl J.R. On the stability of Cholesky factorization for symmetric quasidefinite systems. SIAM J. Matrix Anal. Appl. 17:1996;35-46.
-
(1996)
SIAM J. Matrix Anal. Appl.
, vol.17
, pp. 35-46
-
-
Gill, P.E.1
Saunders, M.A.2
Shinnerl, J.R.3
-
11
-
-
84890913931
-
Maximum likelihood approaches to variance component estimation and to related problems
-
Harville D.A. Maximum likelihood approaches to variance component estimation and to related problems. J. Am. Statist. Soc. 72:1977;320-340.
-
(1977)
J. Am. Statist. Soc.
, vol.72
, pp. 320-340
-
-
Harville, D.A.1
-
12
-
-
0003306408
-
Analysis of the Cholesky decomposition of a semi-definite matrix
-
M.G. Cox, & S.J. Hammarling. Oxford, UK: Oxford University Press
-
Higham N.J. Analysis of the Cholesky decomposition of a semi-definite matrix. Cox M.G., Hammarling S.J. Reliable Numerical Computation. 1990;161-185 Oxford University Press, Oxford, UK.
-
(1990)
Reliable Numerical Computation
, pp. 161-185
-
-
Higham, N.J.1
-
14
-
-
0012031756
-
A note on rounding-error analysis of Cholesky factorization
-
Kielbasinski A. A note on rounding-error analysis of Cholesky factorization. Linear Algebra Appl. 88/89:1987;487-494.
-
(1987)
Linear Algebra Appl.
, vol.8889
, pp. 487-494
-
-
Kielbasinski, A.1
-
15
-
-
0012061797
-
Analysis of some known methods of improving the accuracy of floating-point sums
-
Linnainmaa S. Analysis of some known methods of improving the accuracy of floating-point sums. BIT. 14:1974;167-202.
-
(1974)
BIT
, vol.14
, pp. 167-202
-
-
Linnainmaa, S.1
-
16
-
-
0020983983
-
Refined error analyses of Cholesky factorization
-
Meinguet J. Refined error analyses of Cholesky factorization. SIAM J. Numer. Anal. 20:1983;1243-1250.
-
(1983)
SIAM J. Numer. Anal.
, vol.20
, pp. 1243-1250
-
-
Meinguet, J.1
-
17
-
-
26544463822
-
A circuit for exact summation of floating-point numbers
-
Müller M., Rüb C., Rüling E. A circuit for exact summation of floating-point numbers. Inform. Process. Lett. 57:1996;159-163.
-
(1996)
Inform. Process. Lett.
, vol.57
, pp. 159-163
-
-
Müller, M.1
Rüb, C.2
Rüling, E.3
-
18
-
-
77956889208
-
Recovery of inter-block information when block sizes are unequal
-
Patterson H.D., Thompson R. Recovery of inter-block information when block sizes are unequal. Biometrika. 58:1971;545-554.
-
(1971)
Biometrika
, vol.58
, pp. 545-554
-
-
Patterson, H.D.1
Thompson, R.2
-
19
-
-
0026169919
-
Algorithm for arbitrary precision
-
in: IEEE Computer Society Press, New York
-
D.M. Priest, Algorithm for arbitrary precision, in: Proceedings of the 10th Symposium on Computer Arithmetic, IEEE Computer Society Press, New York, 1991, pp. 132-143.
-
(1991)
Proceedings of the 10th Symposium on Computer Arithmetic
, pp. 132-143
-
-
Priest, D.M.1
-
20
-
-
0039169750
-
Cholesky-based methods for least squares: The benefits of regularizations
-
in: L. Adams, J.L. Nazareth (Eds.), SIAM, Philadelphia
-
M.A. Saunders, Cholesky-based methods for least squares: the benefits of regularizations, in: L. Adams, J.L. Nazareth (Eds.), Linear and Nonlinear Conjugate Gradient-Related Methods, SIAM, Philadelphia, 1996, pp. 92-100.
-
(1996)
Linear and Nonlinear Conjugate Gradient-Related Methods
, pp. 92-100
-
-
Saunders, M.A.1
-
21
-
-
0031518093
-
Adaptive precision floating-point arithmetic and fast robust geometric predicates
-
Shewchuk J.R. Adaptive precision floating-point arithmetic and fast robust geometric predicates. Discrete Comput. Geom. 18:1997;305-363.
-
(1997)
Discrete Comput. Geom.
, vol.18
, pp. 305-363
-
-
Shewchuk, J.R.1
-
22
-
-
84968502716
-
Deferment of computation in the method of least squares
-
Siegel I.H. Deferment of computation in the method of least squares. Math. Comput. 19:1965;329-331.
-
(1965)
Math. Comput.
, vol.19
, pp. 329-331
-
-
Siegel, I.H.1
-
23
-
-
84890895990
-
Differentiation of the Cholesky algorithm
-
Smith S.P. Differentiation of the Cholesky algorithm. J. Comput. Graphical Statist. 4:1995;134-147.
-
(1995)
J. Comput. Graphical Statist.
, vol.4
, pp. 134-147
-
-
Smith, S.P.1
-
24
-
-
0346548140
-
Likelihood-based analysis of linear state-space models using the Cholesky decomposition
-
accepted
-
S.P. Smith, Likelihood-based analysis of linear state-space models using the Cholesky decomposition, J. Comput. Graphical Statist., accepted.
-
J. Comput. Graphical Statist.
-
-
Smith, S.P.1
-
26
-
-
0002090173
-
Symmetric quasi-definite matrices
-
Vanderbei R.J. Symmetric quasi-definite matrices. SIAM J. Optim. 5:1995;100-113.
-
(1995)
SIAM J. Optim.
, vol.5
, pp. 100-113
-
-
Vanderbei, R.J.1
-
27
-
-
0027911607
-
Symmetric indefinite systems for interior point methods
-
Vanderbei R.J., Carpenter T.J. Symmetric indefinite systems for interior point methods. Math. Program. 58:1993;1-32.
-
(1993)
Math. Program.
, vol.58
, pp. 1-32
-
-
Vanderbei, R.J.1
Carpenter, T.J.2
|