## Found 368 Documents (Results 1–100)

100
MathJax

Full Text:

### A new iterative refinement for ill-conditioned linear systems based on discrete gradient. (English)Zbl 1458.65030

MSC:  65F10 65F35
Full Text:

### The AZ algorithm for least squares systems with a known incomplete generalized inverse. (English)Zbl 1461.65058

MSC:  65F20 65F05 68W20
Full Text:

### Preconditioning for accurate solutions of ill-conditioned linear systems. (English)Zbl 1463.65037

MSC:  65F08 65F10
Full Text:

Full Text:

MSC:  65F10
Full Text:

### Compressed hierarchical Schur algorithm for frequency-domain analysis of photonic structures. (English)Zbl 1412.78008

MSC:  78M20 65F05 65Y05
Full Text:

### A new preconditioner that exploits low-rank approximations to factorization error. (English)Zbl 1408.65013

MSC:  65F10 65F08 65F05 65F25 65F30 68Q87
Full Text:

Full Text:

Full Text:

### Condition number and preprocess of the finite element equation of two point boundary value problems with 2-degree Lagrange shape function. (Chinese. English summary)Zbl 1413.65051

MSC:  65F08 65F10
Full Text:

Full Text:

### Numerical instability of calculating inverse of spatial covariance matrices. (English)Zbl 1380.65063

MSC:  65F05 65F35 62M40
Full Text:

Full Text:

Full Text:

### Perturbation analysis of saddle-point problems. (English)Zbl 1373.65034

MSC:  65F35 65F05
Full Text:

### Fractional Tikhonov regularization with a nonlinear penalty term. (English)Zbl 1368.65065

MSC:  65F22 65F20
Full Text:

Full Text:

### A non-Krylov subspace method for solving large and sparse linear system of equations. (English)Zbl 1374.65041

MSC:  65F10 65F50
Full Text:

Full Text:

Full Text:

### An accelerated randomized Kaczmarz algorithm. (English)Zbl 1327.65065

MSC:  65F10 65F22 68W20
Full Text:

### Factorization-based sparse solvers and preconditioners. (English)Zbl 1332.65043

Bai, Zhaojun (ed.) et al., Matrix functions and matrix equations. Lectures of the 4th Gene Golub summer school, Shanghai, China, July 22 – August 2, 2013. Hackensack, NJ: World Scientific; Beijing: Higher Education Press (ISBN 978-981-4675-76-5/hbk; 978-981-4675-78-9/ebook). Series in Contemporary Applied Mathematics CAM 19, 109-137 (2015).
Full Text:

### Inexpensive stopping criteria in the conjugate gradient method. (Russian. English summary)Zbl 1328.65080

MSC:  65F10 65G50 65F22

### An iterative algorithm for $$\eta$$-(anti)-Hermitian least-squares solutions of quaternion matrix equations. (English)Zbl 1326.65054

MSC:  65F20 65F10 65F22 15B57 15A24 65F30 15B33
Full Text:

### Backward error analysis of the extended iterative refinement or improvement algorithm for solving ill conditioned linear system. (English)Zbl 1320.65059

MSC:  65F22 65F08 65F20
Full Text:

### Inexact BDDC methods for the cardiac bidomain model. (English)Zbl 1429.92007

Erhel, Jocelyne (ed.) et al., Domain decomposition methods in science and engineering XXI. Proceedings of the 21st international conference, Inria Rennes Center, France, June 25–29, 2012. Cham: Springer. Lect. Notes Comput. Sci. Eng. 98, 247-255 (2014).
Full Text:

### Divide-and-conquer strategy with Cholesky’s factorization for inverting symmetric positive definite matrices. (English)Zbl 1413.65039

MSC:  65F05 15A23
Full Text:

Full Text:

### A new preconditioning ILUCG method for solving sparse ill-conditioned linear equations. (Chinese. English summary)Zbl 1313.65073

MSC:  65F10 65F50 65F08

### Higher order iterations for Moore-Penrose inverses. (English)Zbl 1311.65040

MSC:  65F20 65F10
Full Text:

Full Text:

### The Schur aggregation and solving ill conditioned linear systems: the convergence theorem. (English)Zbl 1276.65018

MSC:  65F05 65F35 15A06
Full Text:

### A new implementation of GMRES using generalized Purcell method. (English)Zbl 1270.65021

MSC:  65F10 65F20
Full Text:

Full Text:

### Least squares data fitting with applications. (English)Zbl 1270.65008

Baltimore, MD: Johns Hopkins University Press (ISBN 978-1-4214-0786-9/hbk; 978-1-4214-0858-3/ebook). xv, 305 p. (2013).
MSC:  65D10 65-01 65C60 65F20 62J02 62J05

### Accurate solution of dense linear systems. II: Algorithms using directed rounding. (English)Zbl 1260.65034

MSC:  65F22 65F05 65G20
Full Text:

Full Text:

### An extreme case of least squares problems with a quadratic equality constraint. (Chinese. English summary)Zbl 1289.65098

MSC:  65F22 65F20

Full Text:

Full Text:

Full Text:

### Approximately singular systems and ill-conditioned polynomial systems. (English)Zbl 1416.65146

Gerdt, Vladimir P. (ed.) et al., Computer algebra in scientific computing. 14th international workshop, CASC 2012, Maribor, Slovenia, September 3–6, 2012. Proceedings. Berlin: Springer. Lect. Notes Comput. Sci. 7442, 308-320 (2012).
MSC:  65H10
Full Text:

### A modified gradient based algorithm for solving Sylvester equations. (English)Zbl 1250.65063

MSC:  65F30 15A24 65F10
Full Text:

### A rational Arnoldi approach for ill-conditioned linear systems. (English)Zbl 1254.65051

MSC:  65F22 65F10 65F35
Full Text:

### Dynamical systems method and applications. Theoretical developments and numerical examples. (English)Zbl 1241.65053

Hoboken, NJ: John Wiley & Sons (ISBN 978-1-118-02428-7/hbk; 978-1-118-19959-6/ebook). xxix, 539 p. (2012).

### A new iterative refinement with roundoff error analysis. (English)Zbl 1249.65058

MSC:  65F05 65F10 65G50
Full Text:

### Preconditioned conjugate gradient methods for the solution of indefinite least squares problems. (English)Zbl 1230.65052

MSC:  65F20 65F08 65F22
Full Text:

### Regularization tools and robust optimization for ill-conditioned least squares problem: A computational comparison. (English)Zbl 1219.65043

MSC:  65F22 65F20
Full Text:

### A sparse QS-decomposition for large sparse linear system of equations. (English)Zbl 1217.65060

Huang, Yunqing (ed.) et al., Domain decomposition methods in science and engineering XIX. Selected papers based on the presentations at the 19th international conference on domain decoposition (DD19), Zhanjiajie, China, August 17–22, 2009. Berlin: Springer (ISBN 978-3-642-11303-1/hbk; 978-3-642-11304-8/ebook). Lecture Notes in Computational Science and Engineering 78, 431-438 (2011).
MSC:  65F05 65F50 65Y20
Full Text:

Full Text:

### A new iterative refinement of the solution of ill-conditioned linear system of equations. (English)Zbl 1220.65041

MSC:  65F10 65F22
Full Text:

### Novel algorithms based on the conjugate gradient method for inverting ill-conditioned matrices, and a new regularization method to solve ill-posed linear systems. (English)Zbl 1231.65071

MSC:  65F22 65F10
Full Text:

### Tracking MSE efficiencies in ridge regression. (English)Zbl 1260.62059

MSC:  62J07 62J20

### Investigation of preconditioning techniques for the iteratively regularized Gauss-Newton method for exponentially ill-posed problems. (English)Zbl 1220.65061

MSC:  65H10 65F22 65F08
Full Text:

### On a modification of minimal iteration methods for solving systems of linear algebraic equations. (Russian, English)Zbl 1224.65091

Zh. Vychisl. Mat. Mat. Fiz. 50, No. 4, 595-611 (2010); translation in Comput. Math., Math. Phys. 50, No. 4, 567-582 (2010).
MSC:  65F10 65G50 65F22
Full Text:

### Newton’s iteration for matrix inversion, advances and extensions. (English)Zbl 1215.65063

Olshevsky, Vadim (ed.) et al., Matrix methods. Theory, algorithms and applications. Dedicated to the memory of Gene Golub. Based on the 2nd international conference on matrix methods and operator equations, Moscow, Russia, July 23–27, 2007. Hackensack, NJ: World Scientific (ISBN 978-981-283-601-4/hbk). 364-381 (2010).

### A generalized conjugate direction method for nonsymmetric large ill-conditioned linear systems. (English)Zbl 1215.65056

Olshevsky, Vadim (ed.) et al., Matrix methods. Theory, algorithms and applications. Dedicated to the memory of Gene Golub. Based on the 2nd international conference on matrix methods and operator equations, Moscow, Russia, July 23–27, 2007. Hackensack, NJ: World Scientific (ISBN 978-981-283-601-4/hbk). 210-221 (2010).
MSC:  65F10 65F22

### A conditionality criterion for systems of linear algebraic equations. (English. Russian original)Zbl 1211.65053

Dokl. Math. 82, No. 2, 820-823 (2010); translation from Dokl. Akad. Nauk., Ross. Akad. Nauk. 434, No. 4, 464-467 (2010).
MSC:  65F35 65F05 65F10
Full Text:

Full Text:

Full Text:

### Dynamical systems gradient method for solving ill-conditioned linear algebraic systems. (English)Zbl 1236.65039

MSC:  65F22 65F10
Full Text:

### A note on the pin-pointing solution of ill-conditioned linear system of equations. (English)Zbl 1192.65044

MSC:  65F22 65F05
Full Text:

### Extended version with the analysis of dynamic system for iterative refinement of solution. (English)Zbl 1192.65046

MSC:  65F22 65F10 65G50
Full Text:

### Dynamical systems method for solving ill-conditioned linear algebraic systems. (English)Zbl 1194.65063

MSC:  65F22 65R20 45B05
Full Text:

### On ill-conditioned linear systems and regularized GMRES method. (English)Zbl 1186.65051

MSC:  65F22 65F20

MSC:  65F22
Full Text:

Full Text:

Full Text:

### A quadratically convergent class of modifications for Kovarik’s method. (English)Zbl 1196.65079

MSC:  65F25 65F20
Full Text:

### Nonnegative ill-conditioned linear systems and GMRES method. (English)Zbl 1177.65061

MSC:  65F22 65F10
Full Text:

### Detection of cavities using the method of fundamental solutions. (English)Zbl 1175.65130

MSC:  65N21 65N80 35J05 65H10 78A30 78M25
Full Text:

### A Newton root-finding algorithm for estimating the regularization parameter for solving ill-conditioned least squares problems. (English)Zbl 1163.65019

MSC:  65F20 65F22 65Y20
Full Text:

### Solving ill-conditioned linear algebraic systems by the dynamical systems method. (English)Zbl 1258.65036

MSC:  65F22 65F10
Full Text:

Full Text:

### Balanced incomplete factorization. (English)Zbl 1187.65029

MSC:  65F08 65F05
Full Text:

### Conjugate vector base algorithm for solving ill-conditioned linear equations. (Chinese. English summary)Zbl 1174.65364

MSC:  65F10 65F22

### Error estimates for linear systems with applications to regularization. (English)Zbl 1162.65018

MSC:  65F22 65F10
Full Text:

### Exchangeable Fréchet derivatives and its applications. (Chinese. English summary)Zbl 1174.15370

MSC:  15A60 65F22 47A60

Full Text:

### Additive preconditioning and aggregation in matrix computations. (English)Zbl 1139.65034

MSC:  65F35 65F22 65F10
Full Text:

Full Text:

MSC:  65F10
Full Text:

### Preconditioning block Toeplitz matrices. (English)Zbl 1171.65370

MSC:  65F10 65F15
Full Text:

### The deflated Lanczos method for ill-conditioned linear systems. (Chinese. English summary)Zbl 1164.65351

MSC:  65F10 65F22

Full Text:

### Numerical solution of ill-conditioned linear systems of equations. (English)Zbl 1136.65034

MSC:  65F10 65F22 65F35

### An introduction to iterative Toeplitz solvers. (English)Zbl 1146.65028

Fundamentals of Algorithms 5. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 978-0-898716-36-8/pbk; 978-0-89871-885-0/ebook). xii, 111 p. (2007).
Full Text:

### Convergence of Rump’s method for inverting arbitrarily ill-conditioned matrices. (English)Zbl 1120.65040

MSC:  65F10 65F35
Full Text:

### Regularized conjugate gradient method for skew-symmetric indefinite system of linear equations and applications. (English)Zbl 1121.65030

MSC:  65F10 65F22
Full Text:

MSC:  65F10
Full Text:

Full Text:

Full Text:

MSC:  65F10

### Acceleration of convergence of iterative methods of the solution of difference equations. (Ukrainian. English summary)Zbl 1122.65407

MSC:  65Q05 39A10 65F10 65F22

Full Text:

Full Text:

Full Text:

all top 5

all top 5

all top 5

all top 3

all top 3