Communication avoiding block low-rank parallel multifrontal triangular solve with many right-hand sides. (English) Zbl 1535.65052
Reviewer: Frank Uhlig (Auburn)
Found 53 Documents (Results 1–53)
On block triangular preconditioned iteration methods for solving the Helmholtz equation. (English) Zbl 1433.65052
Factorizations of characteristic functions. (English) Zbl 1389.47021
Reviewer: Andrzej Sołtysiak (Poznań)
Generalizing block LU factorization: a lower-upper-lower block triangular decomposition with minimal off-diagonal ranks. (English) Zbl 1348.15009
Inexact rotated block triangular preconditioners for a class of block two-by-two matrices. (English) Zbl 1360.65096
Factorization of matrix polynomials. (Розклад матричних многочленів на множники.) (Ukrainian. English summary) Zbl 1338.15033
L’viv: Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of the NAS of Ukraine (ISBN 978-966-02-7655-0). 282 p. (2015).
Reviewer: Anatoly Martynyuk (Kyïv)
Automorphisms of structural matrix algebras. (English) Zbl 1312.15020
Reviewer: Jaroslav Zemánek (Warszawa)
Modelling covariance structure in bivariate marginal models for longitudinal data. (English) Zbl 1437.62662
MSC:
62P10
On the computation of the rank of triangular banded block Toeplitz matrices. (English) Zbl 1231.65073
Reviewer: Michael Jung (Dresden)
The uniqueness of the block-triangular factorizations of matrices over principal ideal rings. (Ukrainian. English summary) Zbl 1199.15041
Performance of ILU factorization preconditioners based on multisplittings. (English) Zbl 1040.65032
Reviewer: Frank Uhlig (Auburn)
Block tridiagonal matrices and the Kalman filter. (English) Zbl 1028.93028
Zhou, Ding-Xuan (ed.), Wavelet analysis. Twenty years’ developments. Proceedings of the international conference of computational harmonic analysis, Hong Kong, China, June 4-8, 2001. Singapore: World Scientific. Ser. Anal. 1, 266-280 (2002).
Reviewer: Grigori Milstein (Ekaterinburg)
An incomplete factorization method with the fast Fourier transform for discrete Poisson equations with different boundary conditions. (Russian. English summary) Zbl 0987.65103
Reviewer: N.I.Alexandrova (Novosibirsk)
Optimal time-variant systems and factorization of operators. II: Factorization. (English) Zbl 0992.47008
An integer programming problem and rank decomposition of block upper triangular matrices. (English) Zbl 0951.15013
Reviewer: Yueh-er Kuo (Knoxville)
A look-ahead block Schur algorithm for diagonal plus semiseparable matrices. (English) Zbl 0999.65016
Factorization of lower triangular unitary operators with finite Kronecker index into elementary factors. (English) Zbl 0906.47010
Gohberg, I. (ed.) et al., Recent progress in operator theory. Vol. II. Proceedings of the international workshop on operator theory and applications, IWOTA 95, Regensburg, Germany, July 31-August 4, 1995. Basel: Birkhäuser. Oper. Theory, Adv. Appl. 103, 183-217 (1998).
On a new algorithm for almost periodic factorization. (English) Zbl 0903.47013
Gohberg, I. (ed.) et al., Recent progress in operator theory. Vol. II. Proceedings of the international workshop on operator theory and applications, IWOTA 95, Regensburg, Germany, July 31-August 4, 1995. Basel: Birkhäuser. Oper. Theory, Adv. Appl. 103, 53-74 (1998).
The design of MA48: A code for the direct solution of sparse unsymmetric linear systems of equations. (English) Zbl 0884.65019
Classes of linear operators. Vol. II. (English) Zbl 0789.47001
Operator Theory: Advances and Applications. 63. Basel: Birkhäuser Verlag. x, 470-1020 (1993).
Reviewer: L.Rodman (Williamsburg)
Iterative methods for solving sparse linear systems with a parallel preconditioner. (English) Zbl 0757.65037
Reviewer: D.Petcu (Heidelberg)
Completion of operator partial matrices associated with chordal graphs. (English) Zbl 0801.47013
Reviewer: J.Zafarani (Isfahan)
Stability of methods for matrix inversion. (English) Zbl 0748.65021
Reviewer: A.Galántai (Miskolc-Egyetemvaros)
MSC:
65F05
Stability and spectral properties of some incomplete block factorizations. (English) Zbl 0756.65031
Reviewer: R.Blaheta (Ostrava)
Generalized displacement structure for block-Toeplitz, Toeplitz-block, and Toeplitz-derived matrices. (English) Zbl 0734.65020
Numerical linear algebra, digital signal processing and parallel algorithms, Proc. NATO ASI, Leuven/Belg. 1988, NATO ASI Ser., Ser. F 70, 215-236 (1991).
Reviewer: L.Berg (Rostock)
Parallel algorithms for dense linear algebra computations. (English) Zbl 0714.65025
Parallel algorithms for matrix computations, 1-82 (1990).
A Schur analysis approach to minimum distance problems. (English) Zbl 0711.47005
Reviewer: W.Apitzsch
Parallel algorithms for dense linear algebra computations. (English) Zbl 0697.65010
Reviewer: W.Schönauer
Pairs of shift invariant subspaces of matrices and noncanonical factorization. (English) Zbl 0625.15009
Reviewer: L.Rodman
Predicting fill for sparse orthogonal factorization. (English) Zbl 0635.65036
Reviewer: Xie Shenquan
Iterative methods for the solution of elliptic problems on regions partitioned into substructures. (English) Zbl 0615.65113
Reviewer: I.H.Mufti
Shift invariant subspaces, factorization, and interpolation for matrices. I. The canonical case. (English) Zbl 0596.15011
Reviewer: R.C.Thompson
Cell-triangular and cell-diagonal factorizations of cell-triangular and cell-diagonal polynomial matrices. (English. Russian original) Zbl 0591.15009
Math. Notes 37, 431-435 (1985); translation from Mat. Zametki 37, No. 6, 789-796 (1985).
Reviewer: Wenting Tong
A commutant lifting theorem for triangular matrices with diverse applications. (English) Zbl 0561.47008
On matrix majorants and minorants, with applications to differential equations. (English) Zbl 0525.65051
TRITA-NA, R. Inst. Technol., Stockh. 8212, 22 p. (1982).
Finding diagonal block envelopes of triangular factors of partitioned matrices. (English) Zbl 0532.65028
Numerical mathematics and computing, Proc. 10th Manitoba Conf., Winnipeg/Manitoba 1980, Congr. Numerantium 30, 301-317 (1981).
Reviewer: Antonio de Castro (Sevilla)
Combined usage of special and multiplicative algorithms in linear programming. (Russian) Zbl 0495.15010
A survey of some sparse matrix theory and techniques. (English) Zbl 0489.65026
Jahrb. Überblicke Mathematik 1981, 63-105 (1981).
On block operators and related questions in the theory of factorization of matrix-valued functions. (English. Russian original) Zbl 0478.47010
Sov. Math., Dokl. 22, 471-475 (1980); translation from Dokl. Akad. Nauk SSSR 254, 816-820 (1980).
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