Computational algorithms for computing the inverse of a square matrix, quasi-inverse of a non-square matrix and block matrices

HS Najafi, MS Solary - Applied mathematics and computation, 2006 - Elsevier
… In this section, the algorithms discussed above are tested for different matrices, using Maple
software, and the values of ∥Ax − b∥,∥AA −1 ∥ and time consuming are presented he …

The matrix square root from a new functional perspective: theoretical results and computational issues

B Meini - SIAM journal on matrix analysis and applications, 2004 - SIAM
… the matrix square root and a new algorithm for its computation. We show how the matrix square
square matrix H, respectively, by D the open unit disk in the complex plane, and by C+ (C …

An efficient square-root algorithm for BLAST

B Hassibi - 2000 IEEE International Conference on Acoustics …, 2000 - ieeexplore.ieee.org
… robust and stable algorithm is desired. In an attempt to reduce the computational complexity
of BLAST, in this paper we develop an efficient squareroot algorithm for the nulling-vector …

[PDF][PDF] An algorithm for numerical computation of the Jordan normal form of a complex matrix

B Kågström, A Ruhe - ACM Transactions on Mathematical Software …, 1980 - dl.acm.org
… We are ~ven a complex nonsymmetdc square matrix A and are interested in computing its …
, and we have to rely on finite-precision computations to find our result. Since the definition of …

[图书][B] Functions of matrices: theory and computation

NJ Higham - 2008 - SIAM
… on matrix functions involves matrix theory, numerical analysis, approximation theory, and the
development of algorithms … I became interested in the matrix square root. I have worked on …

[图书][B] Matrix computations

GH Golub, CF Van Loan - 2013 - books.google.com
… began in 1977 at a matrix computation workshop held at Johns … Algorithms that manipulate
matrices at the block level are … algorithms is often simplified by using block matrix notation. …

[图书][B] Matrix algorithms: volume 1: basic decompositions

GW Stewart - 1998 - SIAM
… The wenk and strong stability of algorithms in numerical linear algebra. Linear Algebra and
… decomposition updating algorithm for subspace tracking. SIAM Journal on Matrix Analysis …

An iterative method for computing the approximate inverse of a square matrix and the Moore–Penrose inverse of a non-square matrix

F Toutounian, F Soleymani - Applied Mathematics and Computation, 2013 - Elsevier
… as a new high-order computational algorithm for finding an approximate inverse of a square
matrix. The analytical discussions show that this algorithm has fourth-order convergence as …

Some large-scale matrix computation problems

Z Bai, G Fahey, G Golub - … of Computational and Applied Mathematics, 1996 - Elsevier
square mesh. Table 4 shows the results for bounding some off-diagonal elements of the matrix
using expression (3) and Algorithmalgorithms to solve such types of matrix computation

[图书][B] Introduction to matrix computations

GW Stewart - 1973 - books.google.com
… important algorithms for matrix computations and to the techniques by which these algorithms
may … A square matrix is diagonal if its only nonzero elements lie on the diagonal. We write …