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  Browse All Reviews > Mathematics Of Computing (G) > Numerical Analysis (G.1) > Numerical Linear Algebra (G.1.3) > Linear Systems (Direct And Iterative Methods) (G.1.3...)  
  1-10 of 159 Reviews about "Linear Systems (Direct And Iterative Methods) (G.1.3...)": Date Reviewed
  Cyber-physical systems: a model-based approach
Taha W., Taha A., Thunberg J.,  Springer International Publishing, Cham, Switzerland, 2021. 187 pp. Type: Book (978-3-030360-73-3)

Cyber-physical systems: a model-based approach is for anyone interested in becoming a cyber-physical system designer or innovator of, for example, machines, manufactured products, processes, or the combination of such things. The authors il...

Aug 4 2022
  The communication-hiding pipelined BiCGstab method for the parallel solution of large unsymmetric linear systems
Cools S., Vanroose W.  Parallel Computing 651-20, 2017. Type: Article

In the huge matrices used in high-performance computing (HPC), there exist patterns and relations among the members of the matrix that can be utilized to process the matrices in a more efficient way. Most of the discussions concerned with huge mat...

Aug 10 2017
  Formation and containment control for high-order linear swarm systems
Dong X.,  Springer Publishing Company, Incorporated, New York, NY, 2015. 170 pp. Type: Book (978-3-662478-35-6)

This is an interesting book published as a version of a PhD thesis. It focuses on the analytics of fundamental aspects of swarm robots modeled as multiagent systems, where individual and collective behaviors of the swarms play key roles in the suc...

Apr 26 2016
  A direct tridiagonal solver based on Givens rotations for GPU architectures
Venetis I., Kouris A., Sobczyk A., Gallopoulos E., Sameh A.  Parallel Computing 49(C): 101-116, 2015. Type: Article

Tridiagonal linear systems arise from discretizations of differential equations. The associated matrices have non-zero elements only on the main diagonal and on the two diagonals directly above and below the main diagonal. In practice, very large ...

Jan 14 2016
  Iterative methods for linear systems: theory and applications
Olshanskii M., Tyrtyshnikov E.,  SIAM, Philadelphia, PA, 2014. 263 pp. Type: Book (978-1-611973-45-7)

The term “linear systems” in the title refers to equations of the form Ax = b, where x and b are elements of a Euclidean space and A is a no...

Feb 25 2015
  Numerical computations with GPUs
Kindratenko V.,  Springer Publishing Company, Incorporated, New York, NY, 2014. 405 pp. Type: Book (978-3-319065-47-2)

Graphics processing units (GPUs) have recently become very important tools in high-performance computing (HPC). Due to their inherent massively parallel structure, they have been found to be able to provide the capability of accelerating many HPC ...

Nov 3 2014
  Sparse conjugate directions pursuit with application to fixed-size kernel models
Karsmakers P., Pelckmans K., Brabanter K., Hamme H., Suykens J.  Machine Learning 85(1-2): 109-148, 2011. Type: Article

While the conjugate gradient method is a popular iterative approach to solving large sparse linear systems, it is not biased to find good sparse solutions. This paper presents a variant called sparse conjugate directions pursuit (SCDP), which will...

Feb 6 2012
  Solving systems of rational equations through strategy iteration
Gawlitza T., Seidl H.  ACM Transactions on Programming Languages and Systems 33(3): 1-48, 2011. Type: Article

Advanced compilation techniques that target parallel computing architectures make heavy use of various abstractions of programming constructs to decide, at compile time, whether or not a piece of code can be executed in parallel with another. Thes...

Jun 23 2011
  Exact and approximate sparse solutions of underdetermined linear equations
Jokar S., Pfetsch M.  SIAM Journal on Scientific Computing 31(1): 23-44, 2008. Type: Article

This paper deals with the complexity and computation of sparse solutions of matrix equations. The matrix of interest has fewer rows than columns and is thus an underdetermined linear system. Of the multidimensional space of solutions, those with a...

Apr 20 2009
  A fast direct solver for the biharmonic problem in a rectangular grid
Ben-Artzi M., Croisille J., Fishelov D.  SIAM Journal on Scientific Computing 31(1): 303-333, 2008. Type: Article

The biharmonic problem comes up in important application areas such as fluid dynamics. Methods to solve it have become more complex as computers have improved in speed and storage capacity. The methods are based on a finite-difference approximatio...

Mar 26 2009
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