## Found 462 Documents (Results 1–100)

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### On regularization of the solution of integral equations of the first kind using quadrature formulas. (English. Russian original)Zbl 07485532

Vestn. St. Petersbg. Univ., Math. 54, No. 4, 361-365 (2021); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 8(66), No. 4, 593-599 (2021).
MSC:  65Rxx 65-XX 65Fxx
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### Research on truncated singular value method for ill-conditioned least squares problem. (Chinese. English summary)Zbl 07448765

MSC:  65F22 65F35

### The generalized finite difference method with third- and fourth-order approximations and treatment of ill-conditioned stars. (English)Zbl 1464.74362

MSC:  74S20 65N06
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### Solving ill-posed problems faster using fractional-order Hopfield neural network. (English)Zbl 1452.65130

MSC:  65L08 34A08
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### Preconditioner for estimation of multipole sources via full waveform inversion. (English)Zbl 07507229

MSC:  35-XX 47-XX
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### The AZ algorithm for least squares systems with a known incomplete generalized inverse. (English)Zbl 1461.65058

MSC:  65F20 65F05 68W20
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### Numerical solution of systems of linear algebraic equations with ill-conditioned matrices. (English. Russian original)Zbl 1454.65026

Vestn. St. Petersbg. Univ., Math. 52, No. 4, 388-393 (2019); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 6(64), No. 4, 619-626 (2019).
MSC:  65F22 15B48
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### Ill-conditioned dynamic hysteresis compensation for a low-frequency magnetostrictive vibration shaker. (English)Zbl 1437.74020

MSC:  74N30 93C15
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### Regularization of highly ill-conditioned RBF asymmetric collocation systems in fractional models. (English)Zbl 1450.65133

Singh, Vinai K. (ed.) et al., Advances in mathematical methods and high performance computing. Cham: Springer. Adv. Mech. Math. 41, 105-116 (2019).
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### Numerical investigation of an inverse problem based on regularization method. (English)Zbl 1452.65417

MSC:  65R32 65M32
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### Ill-condition mechanism and preconditioning principle of the grid equation of two-point boundary value problems. (Chinese. English summary)Zbl 1449.65048

MSC:  65F08 65L10

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

MSC:  78M20 65F05 65Y05
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### On strong homogeneity of a class of global optimization algorithms working with infinite and infinitesimal scales. (English)Zbl 07263346

MSC:  90-XX 90Bxx 90Cxx
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### Probabilistic estimation of matrix condition number. (Russian. English summary)Zbl 1438.65075

MSC:  65F35 65N75
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MSC:  94A08
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### 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
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MSC:  65F22
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### Perturbation analysis of saddle-point problems. (English)Zbl 1373.65034

MSC:  65F35 65F05
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### Fractional Tikhonov regularization with a nonlinear penalty term. (English)Zbl 1368.65065

MSC:  65F22 65F20
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### Numerical diagnostics of solution blowup in differential equations. (English. Russian original)Zbl 1367.65115

Comput. Math. Math. Phys. 57, No. 1, 122-132 (2017); translation from Zh. Vychisl. Mat. Mat. Fiz. 57, No. 1, 111-121 (2017).
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### A self-regularized approach for rank-deficient systems in the BEM of 2D Laplace problems. (English)Zbl 1359.74460

MSC:  74S15 65N38 65N22
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### Estimation for the multi-way error components model with ill-conditioned panel data. (English)Zbl 1359.62517

MSC:  62P20 62J05
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### Preconditioning methods for the penalty function FEM discretizations of 3D nearly incompressible elasticity problems. (English)Zbl 1359.74449

MSC:  74S05 74S30 65N22 65N30 65N55 74B05
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### Application of meshless methods for solving an inverse heat conduction problem. (English)Zbl 1359.35230

MSC:  35R30 35K05
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MSC:  90C20
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### Numerical detection and study of singularities in solutions of differential equations. (English. Russian original)Zbl 1352.65180

Dokl. Math. 93, No. 3, 334-338 (2016); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 468, No. 1, 21-25 (2016).
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### A Krylov subspace generalization of the improved Wilkinson’s algorithm for ill-conditioned linear systems. (English)Zbl 1338.15021

MSC:  15A18 65F15 65F22
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### An accelerated randomized Kaczmarz algorithm. (English)Zbl 1327.65065

MSC:  65F10 65F22 68W20
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MSC:  65N35
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### Bounds on the transformed errors of solutions to SLAEs with ill-conditioned matrices. (English. Russian original)Zbl 1336.65063

Comput. Math. Math. Phys. 55, No. 12, 1941-1946 (2015); translation from Zh. Vychisl. Mat. Mat. Fiz. 55, No. 12, 1979-1985 (2015).
MSC:  65F22
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### 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).
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### 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
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### 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
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### 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).
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### On solving three-dimensional Laplacian problems in a multiply connected domain using the multiple scale Trefftz method. (English)Zbl 1357.65193

MSC:  65M70 35R30
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### Regularization methods for ill-conditioned system of the integral equation of the first kind with the logarithmic kernel. (English)Zbl 1321.65194

MSC:  65R30 65R20
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### Three detecting indexes and five regularization techniques for degenerate scales in the BEM/BIEM. (English)Zbl 1292.65131

Gao, X. W. (ed.) et al., Boundary elements and other mesh reduction methods XXXVI. Selected papers based on the presentations at the 36th international conference (BEM/MRM), New Forest, UK, June 8–11, 2014. Southampton: WIT Press (ISBN 978-1-84564-841-1/hbk; 978-1-84564-842-8/ebook). WIT Transactions on Modelling and Simulation 56, 191-203 (2014).
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MSC:  65F22
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### On a parallel computation method for solving linear algebraic system with ill-conditioned matrix. (English)Zbl 1298.65202

MSC:  65Y05 65F22

### Discretization independent convergence rates for noise level-free parameter choice rules for the regularization of ill-conditioned problems. (English)Zbl 1288.65085

MSC:  65J20 65J10 47A52
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### Discontinuous parameter estimates with least squares estimators. (English)Zbl 1282.65047

MSC:  65F22 62F10 65C60
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### Accurate solution of structured least squares problems via rank-revealing decompositions. (English)Zbl 1296.65060

MSC:  65F20 65F35
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MSC:  65F22
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### A new implementation of GMRES using generalized Purcell method. (English)Zbl 1270.65021

MSC:  65F10 65F20
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### 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
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MSC:  65F22
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MSC:  65J20
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### A randomized method for solving discrete ill-posed problems. (English. Russian original)Zbl 1311.65043

Cybern. Syst. Anal. 48, No. 4, 621-635 (2012); translation from Kibern. Sist. Anal. No. 4, 163-181 (2012).
MSC:  65F22
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### An extreme case of least squares problems with a quadratic equality constraint. (Chinese. English summary)Zbl 1289.65098

MSC:  65F22 65F20

MSC:  65F22

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### Data surfaces of physical experiments. (English. Russian original)Zbl 1255.65085

Dokl. Math. 86, No. 1, 537-538 (2012); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 445, No. 4, 393-395 (2012).
MSC:  65F22
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### A rational Arnoldi approach for ill-conditioned linear systems. (English)Zbl 1254.65051

MSC:  65F22 65F10 65F35
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### On the Nyström discretization of integral equations on planar curves with corners. (English)Zbl 1269.65131

MSC:  65N38 35J05 65N12
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### 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 precise integration method for solving ill-conditioned algebraic equations. (Chinese. English summary)Zbl 1249.65085

MSC:  65F22 65L05

### Mathematical and numerical studies on meshless methods for exterior unbounded domain problems. (English)Zbl 1252.65202

MSC:  65N80 35J05 65F35
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### Preconditioned conjugate gradient methods for the solution of indefinite least squares problems. (English)Zbl 1230.65052

MSC:  65F20 65F08 65F22
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### Simulation and optimization of gas and water supply networks. (English)Zbl 1228.90002

München: Dr. Hut; Darmstadt: Univ. Darmstadt, Fachbereich Mathematik, Forschungsbereich Numerik und Wissenschaftliches Rechnen (Diss.) (ISBN 978-3-8439-0075-1/pbk). viii, 171 p. (2011).

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

MSC:  65F22 65F20
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### A new iterative refinement of the solution of ill-conditioned linear system of equations. (English)Zbl 1220.65041

MSC:  65F10 65F22
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### Damage detection using a new regularization method with variable parameter. (English)Zbl 1271.74109

MSC:  74G75 74R05 74S05
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### 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
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### A general precise integration method for two-point boundary value problems. (Chinese. English summary)Zbl 1240.65223

MSC:  65L10 34B15 65G40

### Application of the discrete regularization method to the inverse of the chord vibration equation. (English)Zbl 1387.74056

MSC:  74H45 65F22 74S30 45B05
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### Investigation of preconditioning techniques for the iteratively regularized Gauss-Newton method for exponentially ill-posed problems. (English)Zbl 1220.65061

MSC:  65H10 65F22 65F08
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