Search Results - Numerical Algorithms and Problems – Computations on Matrices

Conditions for Existence, Representations, and Computation of Matrix Generalized Inverses by Gerontitis, Dimitrios, Stojanović, Igor, Ćirić, Miroslav, Stanimirović, Predrag S.

“… Algorithms arising from the introduced representations are developed. Particularly, these algorithms can be used to compute the Moore-Penrose inverse, the Drazin inverse, and the usual matrix inverse…”
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A symbolic-numerical algorithm for the computation of matrix elements in the parametric eigenvalue problem by Vinitsky, S. I., Gerdt, V. P., Gusev, A. A., Kaschiev, M. S., Rostovtsev, V. A., Samoilov, V. N., Tyupikova, T. V., Chuluunbaatar, O.

“…A symbolic-numerical algorithm for the computation of the matrix elements in the parametric eigenvalue problem to a prescribed accuracy is presented…”
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Optimization algorithms on matrix manifolds by Absil, P.A, Absil, P.A, Mahony,R, Sepulchre,R

“… This book shows how to exploit the special structure of such problems to develop efficient numerical algorithms…”
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Pied kingfisher optimizer: a new bio-inspired algorithm for solving numerical optimization and industrial engineering problems by Bouaouda, Anas, Hashim, Fatma A., Sayouti, Yassine, Hussien, Abdelazim G.

“…In this study, we introduce the pied kingfisher optimizer (PKO), a novel swarm-based meta-heuristic algorithm that draws inspiration from the distinctive…”
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Finding Structure with Randomness: Probabilistic Algorithms for Constructing Approximate Matrix Decompositions by Halko, N., Martinsson, P. G., Tropp, J. A.

“… This paper presents a modular framework for constructing randomized algorithms that compute partial matrix decompositions…”
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Zhang neural networks: an introduction to predictive computations for discretized time-varying matrix problems by Uhlig, Frank

“… theory and other engineering applications in China. They have become the method of choice for many time-varying matrix problems that benefit from or require efficient, accurate and predictive real-time computations…”
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Bezier Search Differential Evolution Algorithm for numerical function optimization: A comparative study with CRMLSP, MVO, WA, SHADE and LSHADE by Civicioglu, Pinar, Besdok, Erkan

“…Differential Evolution Algorithm (DE) is a commonly used stochastic search method for solving real-valued numerical optimization problems…”
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Matrices, Moments and Quadrature with Applications by Golub, Gene H, Meurant, Gérard

“…This computationally oriented book describes and explains the mathematical relationships among matrices, moments, orthogonal polynomials, quadrature rules, and the Lanczos and conjugate gradient algorithms…”
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Scalable Gaussian Process Computations Using Hierarchical Matrices by Geoga, Christopher J., Anitescu, Mihai, Stein, Michael L.

“…We present a kernel-independent method that applies hierarchical matrices to the problem of maximum likelihood estimation for Gaussian processes…”
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Coded Computation Over Heterogeneous Clusters by Reisizadeh, Amirhossein, Prakash, Saurav, Pedarsani, Ramtin, Avestimehr, Amir Salman

“… There have been recent results that demonstrate the impact of coding for efficient utilization of computation and storage redundancy to alleviate the effect of stragglers and communication…”
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A bidiagonalization-based numerical algorithm for computing the inverses of (p,q)-tridiagonal matrices by Jia, Ji-Teng, Xie, Rong, Xu, Xiao-Yan, Ni, Shuo, Wang, Jie

“… )-tridiagonal matrices under a certain condition. The algorithm is based on the combination of a bidiagonalization approach which preserves the banded structure and sparsity of the original matrix, and a recursive algorithm for inverting general…”
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Modulus-based matrix splitting methods for horizontal linear complementarity problems by Mezzadri, Francesco, Galligani, Emanuele

“…) linear complementarity problems. Lastly, we analyze the proposed methods by numerical experiments involving both symmetric and non-symmetric matrices…”
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A simple, randomized algorithm for diagonalizing normal matrices: A simple, randomized algorithm by He, Haoze, Kressner, Daniel

“…We present and analyze a simple numerical method that diagonalizes a complex normal matrix A by diagonalizing the Hermitian matrix obtained from a random linear combination of the Hermitian and skew…”
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Parallel Algorithms for Fluid-Structure Interaction Problems in Haemodynamics by Crosetto, Paolo, Deparis, Simone, Fourestey, Gilles, Quarteroni, Alfio

“…]). In this work we introduce a class of parallel preconditioners for the FSI problem obtained by exploiting the block-structure of the linear system…”
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Numerical solution of nonclassical boundary value problems by Boito, Paola, Eidelman, Yuli, Gemignani, Luca

“…We provide a new approach to obtain solutions of linear differential problems set in a Banach space and equipped with nonlocal boundary conditions…”
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Accurate computations for eigenvalues of products of Cauchy-polynomial-Vandermonde matrices by Yang, Zhao, Huang, Rong, Zhu, Wei

“…) matrices arising in a rational interpolation problem. We present the explicit expressions of minors of CPV matrices…”
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Alpha evolution: An efficient evolutionary algorithm with evolution path adaptation and matrix generation by Gao, Hao, Zhang, Qingke

“… To solve this problem, this paper proposes a novel evolutionary algorithm called alpha evolution (AE…”
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IR Tools: a MATLAB package of iterative regularization methods and large-scale test problems by Gazzola, Silvia, Hansen, Per Christian, Nagy, James G.

“…This paper describes a new MATLAB software package of iterative regularization methods and test problems for large-scale linear inverse problems…”
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Computing the Action of the Matrix Exponential, with an Application to Exponential Integrators by Al-Mohy, Awad H., Higham, Nicholas J.

“… Numerical experiments show that the algorithm performs in a numerically stable fashion across a wide range of problems, and analysis…”
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Layered ℌ-Matrix Based Inverse and LU Algorithms for Fast Direct Finite-Element-Based Computation of Electromagnetic Problems by HAIXIN LIU, DAN JIAO

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