-
1
-
-
0000617516
-
A Newton-Raphson method for the solution of systems of equations
-
A. Ben-Israel, A Newton-Raphson method for the solution of systems of equations, J. Math. Anal. Appl., 15 (1966), pp. 243-252.
-
(1966)
J. Math. Anal. Appl.
, vol.15
, pp. 243-252
-
-
Ben-Israel, A.1
-
2
-
-
84966220110
-
The convergence of the Ben-Israel iteration for nonlinear least squares problems
-
P. T. Boggs, The convergence of the Ben-Israel iteration for nonlinear least squares problems, Math. Comp., 30 (1976), pp. 512-522.
-
(1976)
Math. Comp.
, vol.30
, pp. 512-522
-
-
Boggs, P.T.1
-
4
-
-
0003363236
-
Trust region methods
-
SIAM, Philadelphia
-
A. R. Conn, N. I. M. Gould, and P. L. Toint, Trust Region Methods, MPS-SIAM Ser. Optim. 1, SIAM, Philadelphia, 2000.
-
(2000)
MPS-SIAM Ser. Optim.
, vol.1
-
-
Conn, A.R.1
Gould, N.I.M.2
Toint, P.L.3
-
5
-
-
0003315567
-
Numerical methods for unconstrained optimization and nonlinear equations
-
SIAM, Philadelphia
-
J. E. Dennis, Jr., and R. B. Schnabel, Numerical Methods for Unconstrained Optimization and Nonlinear Equations, Classics Appl. Math. 16, SIAM, Philadelphia, 1996.
-
(1996)
Classics Appl. Math.
, vol.16
-
-
Dennis Jr., J.E.1
Schnabel, R.B.2
-
6
-
-
0001820687
-
Affine invariant convergence theorems for Newton's method and extensions to related methods
-
P. Deuflhard and G. Heindl, Affine invariant convergence theorems for Newton's method and extensions to related methods, SIAM J. Numer. Anal., 16 (1979), pp. 1-10.
-
(1979)
SIAM J. Numer. Anal.
, vol.16
, pp. 1-10
-
-
Deuflhard, P.1
Heindl, G.2
-
7
-
-
79960402038
-
-
preprint
-
L. M. Ellwein, S. R. Pope, A. Xie, J. Batzel, C. T. Kelley, and M. S. Olufsen, Modeling cardiovascular and respiratory dynamics in congestive heart failure, preprint.
-
Modeling Cardiovascular and Respiratory Dynamics in Congestive Heart Failure
-
-
Ellwein, L.M.1
Pope, S.R.2
Xie, A.3
Batzel, J.4
Kelley, C.T.5
Olufsen, M.S.6
-
8
-
-
0004236492
-
-
3rd ed., The Johns Hopkins University Press, Baltimore, MD
-
G. H. Golub and C. F. Van Loan, Matrix Computations, 3rd ed., The Johns Hopkins University Press, Baltimore, MD, 1996.
-
(1996)
Matrix Computations
-
-
Golub, G.H.1
Van Loan, C.F.2
-
9
-
-
0003216822
-
Efficient algorithms for computing a strong rank-revealing QR factorization
-
M. Gu and S. C. Eisenstat, Efficient algorithms for computing a strong rank-revealing QR factorization, SIAM J. Sci. Comput., 17 (1996), pp. 848-869. (Pubitemid 126621180)
-
(1996)
SIAM Journal of Scientific Computing
, vol.17
, Issue.4
, pp. 848-869
-
-
Gu, M.1
Eisenstat, S.C.2
-
10
-
-
33846917585
-
-
Ph.D. thesis, Massachusetts Institute of Technology, Cambridge, MA
-
T. Heldt, Computational Models of Cardiovascular Response to Orthostatic Stress, Ph.D. thesis, Massachusetts Institute of Technology, Cambridge, MA, 2004.
-
(2004)
Computational Models of Cardiovascular Response to Orthostatic Stress
-
-
Heldt, T.1
-
12
-
-
0002914778
-
Iterative methods for linear and nonlinear equations
-
SIAM, Philadelphia
-
C. T. Kelley, Iterative Methods for Linear and Nonlinear Equations, Frontiers Appl. Math. 16, SIAM, Philadelphia, 1995.
-
(1995)
Frontiers Appl. Math.
, vol.16
-
-
Kelley, C.T.1
-
13
-
-
0003267930
-
Iterative methods for optimization
-
SIAM, Philadelphia
-
C. T. Kelley, Iterative Methods for Optimization, Frontiers Appl. Math. 18, SIAM, Philadelphia, 1999.
-
(1999)
Frontiers Appl. Math.
, vol.18
-
-
Kelley, C.T.1
-
14
-
-
0000873069
-
A method for the solution of certain non-linear problems in least squares
-
K. Levenberg, A method for the solution of certain non-linear problems in least squares, Quart. Appl. Math., 4 (1944), pp. 164-168.
-
(1944)
Quart. Appl. Math.
, vol.4
, pp. 164-168
-
-
Levenberg, K.1
-
15
-
-
0000169232
-
An algorithm for least squares estimation of nonlinear parameters
-
D. W. Marquardt, An algorithm for least squares estimation of nonlinear parameters, SIAM J. Appl. Math., 11 (1963), pp. 431-441.
-
(1963)
SIAM J. Appl. Math.
, vol.11
, pp. 431-441
-
-
Marquardt, D.W.1
-
17
-
-
79960400329
-
-
Ph.D. thesis, North Carolina State University, Raleigh, NC
-
S. Pope, Parameter Identification in Lumped Compartment Cardiorespiratory Models, Ph.D. thesis, North Carolina State University, Raleigh, NC, 2009.
-
(2009)
Parameter Identification in Lumped Compartment Cardiorespiratory Models
-
-
Pope, S.1
-
18
-
-
61649116744
-
Estimation and identification of parameters in a lumped cerebrovascular model
-
S. R. Pope, L. M. Ellwein, C. L. Zapata, V. Novak, C. T. Kelley, and M. S. Olufsen, Estimation and identification of parameters in a lumped cerebrovascular model, Math. Biosci. Eng., 6 (2009), pp. 93-115.
-
(2009)
Math. Biosci. Eng.
, vol.6
, pp. 93-115
-
-
Pope, S.R.1
Ellwein, L.M.2
Zapata, C.L.3
Novak, V.4
Kelley, C.T.5
Olufsen, M.S.6
-
19
-
-
34250110713
-
Convergence analysis of the general Gauss-Newton method
-
R. Schaback, Convergence analysis of the general Gauss-Newton method, Numer. Math., 46 (1985), pp. 281-309.
-
(1985)
Numer. Math.
, vol.46
, pp. 281-309
-
-
Schaback, R.1
-
21
-
-
0001162599
-
Error and perturbation bounds for subspaces associated with certain eigenvalue problems
-
G. W. Stewart, Error and perturbation bounds for subspaces associated with certain eigenvalue problems, SIAM Rev., 15 (1973), pp. 727-764.
-
(1973)
SIAM Rev.
, vol.15
, pp. 727-764
-
-
Stewart, G.W.1
-
23
-
-
0000115006
-
Continuous Newton-Raphson method for solving an underdetermined system of nonlinear equations
-
K. Tanabe, Continuous Newton-Raphson method for solving an underdetermined system of nonlinear equations, Nonlinear Analysis, TMA, 3 (1979), pp. 493-501.
-
(1979)
Nonlinear Analysis, TMA
, vol.3
, pp. 493-501
-
-
Tanabe, K.1
-
24
-
-
51249177398
-
Global analysis of continuous analogs of the Levenberg-Marquardt and Newton-Raphson methods for solving nonlinear equations
-
K. Tanabe, Global analysis of continuous analogs of the Levenberg-Marquardt and Newton-Raphson methods for solving nonlinear equations, Ann. Inst. Statist. Math., 37 (1985), pp. 189-203.
-
(1985)
Ann. Inst. Statist. Math.
, vol.37
, pp. 189-203
-
-
Tanabe, K.1
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