Search Results - Numerical algorithms AND problems-QR decomposition of a dense matrix*

Solving Least-Squares Problems via a Double-Optimal Algorithm and a Variant of the Karush–Kuhn–Tucker Equation for Over-Determined Systems.

Authors: Liu, Chein-Shan Kuo, Chung-Lun Chang, Chih-Wen

Source: Algorithms; May2024, Vol. 17 Issue 5, p211, 27p

Subject Terms: PROBLEM solving, KRYLOV subspace, GAUSSIAN elimination, MATRIX inversion, EQUATIONS, LINEAR systems, PARTIAL least squares regression

The Singular Value Decomposition: Anatomy of Optimizing an Algorithm for Extreme Scale.

Authors: Gates, Mark Haidar, Azzam Kurzak, Jakub et al.

Source: SIAM Review; 2018, Vol. 60 Issue 4, p808-865, 58p

Subject Terms: SINGULAR value decomposition, MATHEMATICAL optimization, ALGORITHMS

Updating QR factorization technique for solution of saddle point problems.

Authors: Zeb, Salman Yousaf, Muhammad Khan, Aziz et al.

Source: AIMS Mathematics; 2023, Vol. 8 Issue 1, p1672-1681, 10p

Subject Terms: FACTORIZATION, SADDLEPOINT approximations, MATRICES (Mathematics), NUMERICAL analysis, METHOD of steepest descent (Numerical analysis)

GPU parameter tuning for tall and skinny dense linear least squares problems.

Authors: Sauk, Benjamin Ploskas, Nikolaos Sahinidis, Nikolaos

Source: Optimization Methods & Software; Jun2020, Vol. 35 Issue 3, p638-660, 23p

Subject Terms: GRAPHICS processing units, MAGNITUDE (Mathematics), PARALLEL processing

Towards faster and robust solution for dynamic LR and QR factorization.

Authors: Zhuang, Fenghao He, Huiting Ye, Aiping et al.

Source: Scientific Reports; 11/14/2024, Vol. 12 Issue 1, p1-17, 17p

Subject Terms: ERROR functions, PSEUDOPOTENTIAL method, FACTORIZATION, ANGLES, SPEED

Compressive sensing least square problem solution suitable for implementation.

Authors: Draganic, Andjela Orovic, Irena Stankovic, Srdjan

Source: 2015 23rd Telecommunications Forum Telfor (TELFOR); 2015, p376-379, 4p

Sparse Linear Least Squares Problems in Optimization.

Authors: Matstoms, Pontus

Source: Computational Optimization & Applications; Jan1997, Vol. 7 Issue 1, p89-110, 22p

Systolic givens factorization of dense rectangular matrices.

Authors: Cosnard, Michel Robert, Yves

Source: International Journal of Computer Mathematics; Jan1988, Vol. 25 Issue 3/4, p287-298, 12p

Numerical Linear Algebra.

Authors: Bathe, Klaus-Jürgen Drikakis, Dimitris Rider, William

Source: High-Resolution Methods for Incompressible & Low-Speed Flows; 2005, p121-143, 23p

Self-Paced, Instructor-Assisted Approach to Teaching Linear Algebra.

Authors: Solin, Pavel

Source: Mathematics in Computer Science; Dec2021, Vol. 15 Issue 4, p661-687, 27p

Linear Least Squares Problems.

Authors: Björck, Åke

Source: Numerical Methods in Matrix Computations; 2015, p211-430, 220p

Rational Krylov matrices and QR steps on Hermitian diagonal-plus-semiseparable matrices.

Authors: Fasino, Dario

Source: Numerical Linear Algebra with Applications; Oct2005, Vol. 12 Issue 8, p743-754, 12p

Subject Terms: MATRICES (Mathematics), ABSTRACT algebra, UNIVERSAL algebra, ALGEBRA, HERMITIAN structures

BackMatter.

Authors: Fieguth, Paul

Source: Statistical Image Processing & Multidimensional Modeling; 2011, p433-454, 22p

PRECONDITIONED NULLSPACE METHOD FOR THE TWO-DIMENSIONAL OSEEN PROBLEM.

Authors: le Borne, Sabine

Source: SIAM Journal on Scientific Computing; 2009, Vol. 31 Issue 4, p2494-2509, 16p, 8 Charts

Subject Terms: NAVIER-Stokes equations, FLUID dynamics, LINEAR differential equations, SCHUR complement, APPROXIMATION theory

Finite element analysis of a current density-electric field formulation of Bean's model for superconductivity.

Authors: ELLIOTT, C. M. KAY, D. STYLES, V.

Source: IMA Journal of Numerical Analysis; Jan2005, Vol. 25 Issue 1, p182-204, 23p, 8 Diagrams

Subject Terms: FINITE element method, SUPERCONDUCTIVITY, ELECTRIC conductivity, ELECTRIC charge, SUPERCONDUCTORS

Parallel Computational Technologies : 12th International Conference, PCT 2018, Rostov-on-Don, Russia, April 2–6, 2018, Revised Selected Papers

Authors: Leonid Sokolinsky Mikhail Zymbler

Resource Type: eBook.

Subjects: Computer systems, Computers, Special purpose, Microprocessors, Computer architecture, Operating systems (Computers), Logic design, Computer science—Mathematics

Categories: COMPUTERS / Computer Architecture, COMPUTERS / Logic Design, COMPUTERS / Operating Systems / General, COMPUTERS / Hardware / General, MATHEMATICS / Applied

Numerical Methods in Matrix Computations

Authors: Åke Björck

Resource Type: eBook.

Subjects: Matrices

Categories: MATHEMATICS / Numerical Analysis, COMPUTERS / Computer Science, COMPUTERS / Mathematical & Statistical Software, MATHEMATICS / Applied

Mathematical Foundations of Quantum Computing: A Scaffolding Approach

Authors: Peter Y. Lee James M. Yu Ran Cheng

Resource Type: eBook.

Subjects: Quantum computing--Mathematics, Computer science--Mathematics

Categories: COMPUTERS / Quantum Computing

Mathematical Programming with Data Perturbations

Authors: Anthony V. Fiacco

Resource Type: eBook.

Subjects: Programming (Mathematics), Perturbation (Mathematics)

Categories: MATHEMATICS / General, MATHEMATICS / Number Systems, MATHEMATICS / Number Theory, MATHEMATICS / Numerical Analysis

Applied Linear Algebra : Core Principles

Authors: Kartikeya Dutta

Resource Type: eBook.

Categories: SCIENCE / General, SCIENCE / Physics / Mathematical & Computational, SCIENCE / Physics / Quantum Theory