Search Results - "Semiseparable matrices"

STRATEGIES FOR SCALING AND PIVOTING FOR SPARSE SYMMETRIC INDEFINITE PROBLEMS.

Source: SIAM Journal on Matrix Analysis & Applications. 2005, Vol. 27 Issue 2, p313-340. 28p.

Subjects: Matrices (Mathematics), Semiseparable matrices, Symmetric matrices, Factorization, Abstract algebra

A robust inner-outer hierarchically semi-separable preconditioner.

Authors: Xia, J.¹

Source: Numerical Linear Algebra with Applications. Dec2012, Vol. 19 Issue 6, p992-1016. 25p.

Fast algorithms for hierarchically semiseparable matrices.

Authors: Xia, Jianlin Chandrasekaran, Shivkumar Gu, Ming et al.

Source: Numerical Linear Algebra with Applications. Dec2010, Vol. 17 Issue 6, p953-976. 24p.

AN EFFICIENT MULTICORE IMPLEMENTATION OF A NOVEL HSS-STRUCTURED MULTIFRONTAL SOLVER USING RANDOMIZED SAMPLING.

Authors: GHYSELS, PIETER LI, XIAOYE S. ROUET, FRANÇOIS-HENRY et al.

Source: SIAM Journal on Scientific Computing. 2016, Vol. 38 Issue 5, pS358-S384. 27p.

Subjects: Linear systems, Semiseparable matrices, Algorithms, Partial differential equations, Finite element method

A FAST MEMORY EFFICIENT CONSTRUCTION ALGORITHM FOR HIERARCHICALLY SEMI-SEPARABLE REPRESENTATIONS.

Authors: LESSEL, K. HARTMAN, M. CHANDRASEKARAN, S.

Source: SIAM Journal on Matrix Analysis & Applications. 2016, Vol. 37 Issue 1, p338-353. 16p.

Subjects: Semiseparable matrices, Peak load pricing (Public utilities), Computer memory management, Matrix exponential, Operator equations (Quantum mechanics), Mathematical models

A fast and stable algorithm for downdating the singular value decomposition.

Authors: Zhang, Jieyuan Li, Shengguo Cheng, Lizhi et al.

Source: Computers & Mathematics with Applications. Nov2014, Vol. 68 Issue 10, p1421-1430. 10p.

Subjects: Singular value decomposition, Semiseparable matrices, Mathematical programming, Approximation theory, Eigenvectors, Matrix multiplications

On some classes of structured matrices with algebraic trigonometric eigenvalues

Authors: Gemignani, L.¹ gemignan@dm.unipi.it

Source: Applied Mathematics & Computation. Jun2011, Vol. 217 Issue 19, p7573-7578. 6p.

Subjects: Semiseparable matrices, Set theory, Eigenvalues, Trigonometry, Algebraic number theory, Chebyshev approximation

Using semiseparable matrices to compute the SVD of a general matrix product/quotient

Authors: Van Barel, Marc Vanberghen, Yvette Van Dooren, Paul

Source: Journal of Computational & Applied Mathematics. Oct2010, Vol. 234 Issue 11, p3175-3180. 6p.

Subjects: Semiseparable matrices, Singular value decomposition, Iterative methods (Mathematics), Algorithms, Mathematical analysis

A multiple shift -step for structured rank matrices

Authors: Vandebril, Raf Van Barel, Marc Mastronardi, Nicola

Source: Journal of Computational & Applied Mathematics. Jan2010, Vol. 233 Issue 5, p1326-1344. 19p.

Subjects: Semiseparable matrices, Eigenvalues, Mathematical transformations, Algorithms, Nonsymmetric matrices, Numerical analysis

NEW EFFICIENT AND ROBUST HSS CHOLESKY FACTORIZATION OF SPD MATRICES.

Authors: SHENGGUO LI MING GU WU, CINNA JULIE et al.

Source: SIAM Journal on Matrix Analysis & Applications. 2012, Vol. 33 Issue 3, p886-904. 19p.

Subjects: Robust control, Semiseparable matrices, Factorization, Mathematical transformations, Mathematical sequences, Schur complement, Approximation theory

EFFICIENT SCALABLE ALGORITHMS FOR SOLVING DENSE LINEAR SYSTEMS WITH HIERARCHICALLY SEMISEPARABLE STRUCTURES.

Authors: SHEN WANG LI, XIAOYE S. JIANLIN XIA et al.

Source: SIAM Journal on Scientific Computing. 2013, Vol. 35 Issue 6, pC519-C544. 26p.

Subjects: Semiseparable matrices, Parallel algorithms, Imaging systems in seismology, Parallel computers, Linear systems, Boundary value problems

Generalized Rybicki Press algorithm.

Authors: Ambikasaran, Sivaram¹

Source: Numerical Linear Algebra with Applications; Dec2015, Vol. 22 Issue 6, p1102-1114, 13p

Matrix Computations and Semiseparable Matrices : Eigenvalue and Singular Value Methods

Authors: Raf Vandebril Marc Van Barel Nicola Mastronardi

Resource Type: eBook.

Subjects: Numerical analysis, Matrices--Data processing, Semiseparable matrices

Categories: MATHEMATICS / Applied, MATHEMATICS / Matrices

Matrix Computations and Semiseparable Matrices : Linear Systems

Authors: Raf Vandebril Marc Van Barel Nicola Mastronardi

Resource Type: eBook.

Subjects: Numerical analysis, Matrices--Data processing, Semiseparable matrices

Categories: MATHEMATICS / Applied, MATHEMATICS / Matrices

A Parallel Geometric Multifrontal Solver Using Hierarchically Semiseparable Structure.

Authors: Wang, Shen Li, Xiaoye S. Rouet, François-Henry et al.

Source: ACM Transactions on Mathematical Software. May2016, Vol. 42 Issue 3, p1-21. 21p.

SUPERFAST MULTIFRONTAL METHOD FOR LARGE STRUCTURED LINEAR SYSTEMS OF EQUATIONS.

Authors: Jianlin Xia Chandrasekaran, Shivkumar Ming Gu et al.

Source: SIAM Journal on Matrix Analysis & Applications; 2010, Vol. 31 Issue 3, p1382-1411, 30p, 17 Illustrations, 9 Charts, 6 Graphs

An efficient hybrid tridiagonal divide-and-conquer algorithm on distributed memory architectures.

Authors: Li, Shengguo Liu, Jie Huang, Chun et al.

Source: Journal of Computational & Applied Mathematics; Dec2018, Vol. 344, p512-520, 9p

A Distributed-Memory Package for Dense Hierarchically Semi-Separable Matrix Computations Using Randomization.

Authors: Rouet, François-Henry Li, Xiaoye S. Ghysels, Pieter et al.

Source: ACM Transactions on Mathematical Software; Jun2016, Vol. 42 Issue 4, p1-35, 35p

An improved divide-and-conquer algorithm for the banded matrices with narrow bandwidths.

Authors: Liao, Xiangke Li, Shengguo Cheng, Lizhi et al.

Source: Computers & Mathematics with Applications; May2016, Vol. 71 Issue 10, p1933-1943, 11p

SUPERFAST DIVIDE-AND-CONQUER METHOD AND PERTURBATION ANALYSIS FOR STRUCTURED EIGENVALUE SOLUTIONS.

Authors: VOGEL, JAMES JIANLIN XIA CAULEY, STEPHEN et al.

Source: SIAM Journal on Scientific Computing; 2016, Vol. 38 Issue 3, pA1358-A1382, 25p