Found 108 Documents (Results 1–100)
Iterated Gauss-Seidel GMRES. (English) Zbl 1541.65020
Sparse reduced-rank regression for simultaneous rank and variable selection via manifold optimization. (English) Zbl 07696199
Comput. Stat. 38, No. 1, 53-75 (2023); correction ibid. 38, No. 1, 77-78 (2023).
MSC:
62-08
Enhancing block Cimmino for sparse linear systems with dense columns via Schur complement. (English) Zbl 1512.65076
Functional classwise principal component analysis: a classification framework for functional data analysis. (English) Zbl 1515.62059
Low synchronization Gram-Schmidt and generalized minimal residual algorithms. (English) Zbl 1474.65103
Reviewer: Miroslav Rozloznik
A general approach for designing the MWGS-based information-form Kalman filtering methods. (English) Zbl 1455.93199
An efficient and stable Lagrangian matrix approach to Abel integral and integro-differential equations. (English) Zbl 1436.65214
Reviewer: Eugene Postnikov (Kursk)
ChebStaBlkCG: a block variant of ChebFilterCG. (English) Zbl 1524.65145
MSC:
65F10
On the computation of derivatives within LD factorization of parametrized matrices. (Russian. English summary) Zbl 1409.65008
Deflation-accelerated preconditioning of the Poisson-Neumann Schur problem on long domains with a high-order discontinuous element-based collocation method. (English) Zbl 1349.65621
Backward error analysis of the shift-and-invert Arnoldi algorithm. (English) Zbl 1350.65035
Reviewer: Constantin Popa (Constanţa)
Cholesky-like factorization of symmetric indefinite matrices and orthogonalization with respect to bilinear forms. (English) Zbl 1317.65105
Mixed-precision Cholesky QR factorization and its case studies on multicore CPU with multiple GPUs. (English) Zbl 1320.65046
Communication lower bounds and optimal algorithms for numerical linear algebra. (English) Zbl 1396.65082
An extension of 3D Zernike moments for shape description and retrieval of maps defined in rectangular solids. (English) Zbl 1279.42030
Numerical stability of orthogonalization methods with a non-standard inner product. (English) Zbl 1259.65069
Reviewer: Răzvan Răducanu (Iaşi)
A simple and efficient method for variable ranking according to their usefulness for learning. (English) Zbl 1452.62115
Experiments on orthogonalization by biorthogonal representations of orthogonal projectors. (English) Zbl 1118.65026
MSC:
65F25
A note on the error analysis of classical Gram-Schmidt. (English) Zbl 1108.65021
Reviewer: R. P. Tewarson (Stony Brook)
Pitfalls in fast numerical solvers for fractional differential equations. (English) Zbl 1078.65550
MSC:
65L05
On theoretical and numerical aspects of symplectic Gram-Schmidt-like algorithms. (English) Zbl 1111.65038
Reviewer: Alan L. Andrew (Bundoora)
Rounding error analysis of the classical Gram-Schmidt orthogonalization process. (English) Zbl 1075.65060
Reviewer: Daniel Kressner (Zagreb)
A new stable bidiagonal reduction algorithm. (English) Zbl 1069.65039
Reviewer: Constantin Popa (Constanta)
MSC:
65F20
Accuracy of preconditioned CG-type methods for least squares problems. (English) Zbl 1056.65035
Reviewer: Oleksandr Kukush (Leuven)
One-sided reduction to bidiagonal form. (English) Zbl 1035.65045
Reviewer: Stanislav Míka (Plzeň)
Some new properties of the equality constrained and weighted least squares problem. (English) Zbl 0985.65030
Reviewer: S.Zlobec (Montreal)
Three-dimensional computation of a magnetic field by mixed finite elements and boundary elements. (English) Zbl 1129.78303
A modified Gram-Schmidt algorithm with iterative orthogonalization and column pivoting. (English) Zbl 0990.65047
Reviewer: Hans Engler (Bonn)
The influence of orthogonality on the Arnoldi method. (English) Zbl 0948.65034
Reviewer: R.P.Tewarson (Stony Brook)
A new adaptive GMRES algorithm for achieving high accuracy. (English) Zbl 0937.65037
Reviewer: Jan Zítko (Praha)
New interpretation of related Huang’s methods. (English) Zbl 0886.65040
Reviewer: F.Szidarovszky (Tucson)
Numerical behaviour of the modified Gram-Schmidt GMRES implementation. (English) Zbl 0891.65031
Reviewer: M.Jung (Chemnitz)
Algebraic and numerical techniques for the computation of matrix determinants. (English) Zbl 0885.65052
Reviewer: F.Luban (Bucureşti)
MSC:
65F40
Accurate downdating of a modified Gram-Schmidt QR decomposition. (English) Zbl 0848.65014
Reviewer: R.P.Tewarson (Stony Brook)
Numerical stability of GMRES. (English) Zbl 0837.65040
Reviewer: K.Georgiev (Sofia)
Solution of augmented linear systems using orthogonal factorizations. (English) Zbl 0822.65021
Reviewer: F.Luban (Bucureşti)
Rank-\(k\) modification methods for recursive least squares problems. (English) Zbl 0813.65079
Reviewer: O.Vaarmann (Tallinn)
Numerics of Gram-Schmidt orthogonalization. (English) Zbl 0801.65039
Reviewer: A.Galántai (Miskolc-Egyetemvaros)
Approximation methods for the finite moment problem. (English) Zbl 0804.65135
Reviewer: C.W.Groetsch (Cincinnati)
The geometry of the set of scaled projections. (English) Zbl 0782.15002
Reviewer: S.L.Campbell (Raleigh)
MSC:
15A09
Solution of linear least squares via the ABS algorithm. (English) Zbl 0771.65020
Reviewer: A.Swift (Palmerston North)
Solution of two-point boundary value problems involving Kronecker products. (English) Zbl 0765.65084
Reviewer: P.Chocholatý (Bratislava)
Solving the linear least squares problem with very high relative accuracy. (English) Zbl 0722.65018
Reviewer: S.Zlobec (Montreal)
Orthogonal least squares methods and their application to non-linear system identification. (English) Zbl 0686.93093
Extended model set, global data and threshold model identification of severely non-linear systems. (English) Zbl 0686.93092
Iterative algorithms for Gram-Schmidt orthogonalization. (English) Zbl 0667.65037
Reviewer: A.Ruhe
A note on the modified Gram-Schmidt process. (English) Zbl 0658.65040
Reviewer: P.C.Hansen
MSC:
65F20
Sparse linear problems and the least squares method. (English. Russian original) Zbl 0656.65042
J. Sov. Math. 39, No. 6, 3148-3189 (1987); translation from Itogi Nauki Tekh., Ser. Mat. Anal. 23, 219-285 (1985).
Stability analysis of the method of seminormal equations for linear least squares problems. (English) Zbl 0616.65043
Reviewer: V.Mehrmann
Error analysis of algorithms for computing the projection of a point onto a linear manifold. (English) Zbl 0629.65042
Reviewer: D.Braess
MSC:
65F20
Solution of nonlinear systems of equations by an optimal projection method. (English) Zbl 0584.65024
MSC:
65H10
The projection method for solving nonlinear systems of equations under the ”most violated constraint” control. (English) Zbl 0584.65023
Reviewer: S.F.McCormick
MSC:
65H10
Direct methods for the solution of linear systems. (Italian. English summary) Zbl 0574.65032
Reviewer: A.de Castro
MSC:
65F20
The numerical stability of the lattice algorithm for least squares linear prediction problems. (English) Zbl 0555.65099
Reviewer: M.Reimer
A combined direct-iterative approach for solving large scale singular and rectangular consistent systems of linear equations. (English) Zbl 0469.65022
On accurate stress calculation in static and dynamic problems using the natural factor approach. (English) Zbl 0414.73066
MSC:
74S30
65F10
Computer solution and perturbation analysis of generalized linear least squares problems. (English) Zbl 0405.65018
Least squares in identification theory. (English) Zbl 0354.93061
MSC:
93E10
93E25
On the solution of the linear least squares problems and pseudo-inverses. (English) Zbl 0333.65017
MSC:
65F20
A criterion for truncation of the QR-decomposition algorithm for the singular linear least squares problem. (English) Zbl 0282.65030
A direct error analysis for least squares. (English) Zbl 0271.65029
MSC:
65F20
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