Found 49 Documents (Results 1–49)
An efficient matrix factorization within the projection framework for ameliorating the surface tension time step constraint in interfacial flows. (English) Zbl 07797657
Fast solvers for mesh-based computations. (English) Zbl 1334.65069
Advances in Applied Mathematics (Boca Raton). Boca Raton, FL: CRC Press (ISBN 978-1-4987-5419-4/hbk; 978-1-4987-5420-0/ebook). xxxviii, 313 p. (2016).
Reviewer: Constantin Popa (Constanţa)
A graduate introduction to numerical methods. From the viewpoint of backward error analysis. (English) Zbl 1295.65001
New York, NY: Springer (ISBN 978-1-4614-8452-3/hbk; 978-1-4614-8453-0/ebook). xxxix, 868 p. (2013).
Reviewer: Robert Plato (Siegen)
Block \(LU\) factorization for the coupled Stokes equations by spectral element discretization. (English) Zbl 1285.49021
A concise introduction to linear algebra. (English) Zbl 1242.15001
New York, NY: Springer (ISBN 978-0-8176-8324-5/hbk; 978-0-8176-8325-2/ebook). xii, 330 p. (2012).
Reviewer: A. Arvanitoyeorgos (Patras)
Fast Gaussian elimination with pivoting for solving linear systems of rational Krylov matrices. (English) Zbl 1228.65040
Reviewer: Adhemar Bultheel (Leuven)
Hypergraph-based unsymmetric nested dissection ordering for sparse LU factorization. (English) Zbl 1221.65085
On the numerical rank of the off-diagonal blocks of Schur complements of discretized elliptic PDEs. (English) Zbl 1209.65032
Numerical methods. Principles, analysis and algorithms. (English) Zbl 1196.65001
Oxford: Oxford University Press (ISBN 978-0-19-569375-1/pbk). xii, 812 p. (2009).
Reviewer: Georg Hebermehl (Berlin)
MSC:
65-01
65Fxx
65Lxx
65Mxx
65Nxx
65Yxx
65D05
65D07
65D30
65G50
65H04
65H05
65H10
92B20
97M50
00A06
65C05
65R20
Symbolic and exact structure prediction for sparse Gaussian elimination with partial pivoting. (English) Zbl 1176.65025
On the row merge tree for sparse LU factorization with partial pivoting. (English) Zbl 1116.65036
Reviewer: Constantin Popa (Constanţa)
Parallel sparse \(LU\) factorization on different message passing platforms. (English) Zbl 1110.68543
Improved symbolic and numerical factorization algorithms for unsymmetric sparse matrices. (English) Zbl 1021.65014
Reviewer: Liu Xinguo (Qingdao)
Computing row and column counts for sparse \(QR\) and \(LU\) factorization. (English) Zbl 0992.65016
Nested-dissection orderings for sparse LU with partial pivoting. (English) Zbl 0979.65023
Vulkov, Lubin (ed.) et al., Numerical analysis and its applications. 2nd international conference, NAA 2000, Rousse, Bulgaria, June 11-15, 2000. Revised papers. Berlin: Springer. Lect. Notes Comput. Sci. 1988, 125-132 (2001).
\(S^+\): Efficient 2D sparse LU factorization on parallel machines. (English) Zbl 0967.65037
Reviewer: Willi Schönauer (Karlsruhe)
On equilibration and sparse factorization of matrices arising in finite element solutions of partial differential equations. (English) Zbl 0956.65018
Reviewer: Pavel Burda (Praha)
A new approach to backward error analysis of LU factorization. (English) Zbl 0944.65026
Reviewer: Günter Mayer (Speyer)
A supernodal approach to sparse partial pivoting. (English) Zbl 0931.65022
Reviewer: F.Uhlig (Auburn)
Sparse LU factorization with partial pivoting overlapping communications and computations on the SP-2 multicomputer. (English) Zbl 0913.65020
Alexandrov, V. (ed.) et al., Recent advances in parallel virtual machine and message passing interface. 5th European PVM/MPI users’ group meeting. Liverpool, GB, September 7–9, 1998. Proceedings. Berlin: Springer. Lect. Notes Comput. Sci. 1497, 371-378 (1998).
On the sensitivity of the LU factorization. (English) Zbl 0924.65038
Reviewer: F.Luban (Bucureşti)
Parallel implicit schemes for the solution of linear systems. (English) Zbl 0897.65019
Winter Althaus, G. (ed.) et al., Algorithms for large scale linear algebraic systems. Applications in science and engineering. Proceedings, Gran Canaria, Spain, June 23 - July 6, 1996. Dordrecht: Kluwer Academic Publishers. NATO ASI Ser., Ser. C, Math. Phys. Sci. 508, 37-54 (1998).
Growth in Gaussian elimination, orthogonal matrices, and the 2-norm. (English) Zbl 0914.65019
Reviewer: E.Minchev (Sofia)
Locality of reference in LU decomposition with partial pivoting. (English) Zbl 0890.65025
Reviewer: R.P.Tewarson (Stony Brook)
An explicit sparse unsymmetric finite element solver. (English) Zbl 0842.65014
Reviewer: I.N.Katz (St.Louis)
Exploiting structural symmetry in a sparse partial pivoting code. (English) Zbl 0771.65013
Reviewer: F.Szidarovszky (Tucson)
Matrices with positive definite Hermitian part: Inequalities and linear systems. (English) Zbl 0748.15021
Reviewer: F.Ribière Michaud (Paris)
Comparison of performance of three parallel versions of the block cyclic reduction algorithm for solving linear elliptic partial differential equations. (English) Zbl 0769.65072
Reviewer: L.Bakule (Praha)
From Bareiss’ algorithm to the stable computation of partial correlations. (English) Zbl 0681.65109
Reviewer: F.Flandoli
Recursive partial realization from the combined sequence of Markov parameters and moments. (English) Zbl 0679.93010
Sparse partial pivoting in time proportional to arithmetic operations. (English) Zbl 0656.65036
Reviewer: V.Prepeliţă
An efficient implementation of LU decomposition in C. (English) Zbl 0651.65020
Reviewer: A.de Castro
LU factorization algorithms on distributed-memory multiprocessor architectures. (English) Zbl 0648.65020
Reviewer: H.Hollatz
A data structure for sparse QR and LU factorizations. (English) Zbl 0648.65019
Reviewer: T.F.Coleman
Pairs of shift invariant subspaces of matrices and noncanonical factorization. (English) Zbl 0625.15009
Reviewer: L.Rodman
Column LU factorization with pivoting on a message-passing multiprocessor. (English) Zbl 0623.65032
Reviewer: R.P.Tewarson
Efficient method for machine simulation of gas mains of large extent. (Russian. English summary) Zbl 0595.65137
An implementation of Gaussian elimination with partial pivoting for sparse systems. (English) Zbl 0568.65017
Reviewer: V.Mehrmann
Amélioration de la stabilité numérique d’algorithmes de résolution de programmes linéaires a matrices de contraintes clairsemées. (Numerical stability improvement for solution algorithms for linear programs with sparse constraint matrices). (French) Zbl 0576.90060
On sparce matrix reduction for computing the poles and zeros of linear systems. (English) Zbl 0445.93008
Proc. 4th int. Symp. Network theory, Ljubljana 1979, 259-264 (1979).
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