Julia code for the book Numerical Linear Algebra
iterative-methods qr-decomposition linear-solvers singular-value-decomposition matrix-computations numerical-linear-algebra eigendecomposition
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- Jupyter Notebook
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qr-decomposition
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C++ Matrix -- High performance and accurate (e.g. edge cases) matrix math library with expression template arithmetic operators
data-science cpp matrix metaprogramming matrix-factorization statistical-analysis eigenvectors matrix-calculations eigenvalues numerical-analysis lu-decomposition qr-decomposition matrix-decompositions financial-engineering tridiagonal matrix-math-library determinant-calculation hessenberg-reduction single-value-decomposition schur-decomposition
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- C++
A concise library for solving sparse linear systems with direct methods.
linear-algebra sparse-linear-systems sparse-matrix lu-decomposition qr-decomposition numerical-linear-algebra cholesky-decomposition
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- C#
Safe and fast mathematical operations with static arrays in the Rust programming language
rust matrix linear-algebra euler-angles quaternions rust-programming-language matrix-calculations determinant dual-quaternion qr-decomposition matrix-computations matrix-inverse
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- Rust
EMV Compliant QR Library in .NET Standard
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- C#
Differentiable matrix factorizations using ImplicitDifferentiation.jl.
automatic-differentiation matrix-factorization svd lu-decomposition qr-decomposition matrix-decompositions cholesky-decomposition svd-matrix-factorisation schur-decomposition eigendecomposition implicit-differentiation generalized-eigenvalue forward-mode-autodiff reverse-mode-autodiff
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- Julia
A linear algebra library that provides a user-friendly interface to several BLAS and LAPACK routines.
fortran linear-algebra blas eigenvectors lapack sparse-matrix eigenvalues lu-decomposition qr-decomposition singular-value-decomposition cholesky-decomposition compressed-sparse-row compressed-row-storage
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- Fortran
Numerical analysis course in Python
python svd lu-decomposition qr-decomposition newtons-method gaussian-elimination-algorithm complexity-analysis gram-schmidt
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- Jupyter Notebook
🍒 cuRBLAS (Randomized BLAS) is a GPU-accelerated library for accelerating AI and HPC applications.
hpc gpu cuda sketching gpu-acceleration cuda-kernels gemm qr-decomposition rsvd singular-value-decomposition cuda-library randomized-linear-algebra flash-attention rgemm
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- Cuda
QR decomposition, or QR factorization, is a fundamental linear algebra method that decomposes a matrix into a product of an orthogonal matrix and an upper triangular matrix. It is widely used for solving linear least squares problems, computing eigenvalues, Gram-Schmidt, Householder reflections, or Givens rotations.Solver
python data-science linear-algebra solver matrix-factorization least-squares scientific-computing qr-decomposition numerical-linear-algebra gram-schmidt givens-rotations qr-factorization senatorov householder-reflections machine-learning-math qr-solver solver-qr
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- Python
A parallelized implementation of Principal Component Analysis (PCA) using Singular Value Decomposition (SVD) in OpenMP for C. The procedure used is Modified Gram Schmidt algorithm. The method for Classical Gram Schmidt is also available for use.
c openmp parallel-computing pca-analysis pca svd principal-component-analysis qr-decomposition singular-value-decomposition gram-schmidt openmp-parallelization modified-gram-schmidt classical-gram-schmidt
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- C
A linear algebra library for TypeScript and JavaScript
typescript vector matrix linear-regression linear-algebra matrix-factorization least-squares matrix-multiplication linear-algebra-library svd matrix-calculations lu-decomposition vector-math qr-decomposition gauss-jordan singular-value-decomposition cholesky-decomposition
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- TypeScript
Application for scanning creation and edit QR codes. To scan, point camera on qr code or upload a picture with its image. Result is displayed in field previewed where it can be edited, opened in the browser, or saved in the device’s memory, which allows encrypting not only Internet links, but also any other text like a phone number or email.
android web-app android-application web-application android-app qr-generator qr-codes qr qrcode-scanner qrcode-generator qrcode-reader qr-decomposition qr-editor qr-maker
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- JavaScript
A cross compiled Scala.js port of JAMA for JVM, JavaScript, and Scala Native projects.
machine-learning scala linear-regression scalajs pca blas math-library lapack scala3 scala-native matrix-library qr-decomposition principle-component-analysis singular-value-decomposition cholesky-decomposition jama eigen-decomposition
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- Scala
Fork of the qrupdate library for future maintenance.
matrix linear-algebra blas lapack lu-decomposition qr-decomposition numerical-algorithms cholesky-decomposition
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- Fortran
Parallelization of QR decomposition with Householder transformation
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- C++
Matrix decomposition and multiplication on the Cerebras Wafer-Scale Engine (WSE) architecture
hpc gpu linear-algebra parallel-computing matrix-factorization matrix-multiplication lu-decomposition qr-decomposition cannon-algorithm lu-factorization qr-factorization wse cerebras cannons-matrix-matrix-multiplication cerebras-wse
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- Python
Numerical Analysis Problems and Solutions
differential-equations finite-difference heat-equation heat-transfer numerical-methods numerical-analysis lu-decomposition qr-decomposition fortran2003 fortran2008 modern-fortran finite-difference-method collocation-method trapezoidal-method boundary-value-problem least-sqaure-method simpson-method tridiagonal-matrix-algorithm
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- Fortran
Matrix Decompostion Techniques - SVD and QR Decomposition
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- MATLAB
Implementation of the preconditioned Kaczmarz method https://arxiv.org/abs/1903.01806
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- Python
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