Optimal orthogonalization processes
From MaRDI portal
Publication:2070423
DOI10.1007/s11425-018-1711-xzbMath1481.65062OpenAlexW3081192608MaRDI QIDQ2070423
Marko Huhtanen, Pauliina Uusitalo
Publication date: 24 January 2022
Published in: Science China. Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11425-018-1711-x
preconditioningGram-Schmidt orthogonalizationsparse matrixGram matrixLöwdin orthogonalizationframe inequalityimplicit orthogonalizationoptimal orthogonalizationpolynomial orthogonalization
Computational methods for sparse matrices (65F50) Orthogonalization in numerical linear algebra (65F25) Numerical methods in Fourier analysis (65T99)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Polynomials and lemniscates of indefiniteness
- A hereditarily indecomposable \(\mathcal L_{\infty}\)-space that solves the scalar-plus-compact problem
- Scaling by binormalization
- On the approximation of spectra of linear operators on Hilbert spaces
- Factoring matrices into the product of two matrices
- Handbook series linear algebra. Linear least squares solutions by Householder transformations
- Condition numbers and equilibration of matrices
- Frames, Riesz bases, and discrete Gabor/wavelet expansions
- Symmetric approximation of frames and bases in Hilbert spaces
- Gram-Schmidt orthogonalization: 100 years and more
- On Nilalgebras and Linear Varieties of Nilpotent Matrices, I
- Numerical Methods in Scientific Computing, Volume I
- Energy conservation and unitary approximation numbers
- Rotations of occupied invariant subspaces in self-consistent field calculations
- An Algorithm to Improve Nearly Orthonormal Sets of Vectors on a Vector Processor
- Linear Algebra and Quantum Chemistry
- On a Characterization of the Best $l_2 $-Scaling of a matrix
- On the Condition Number of Local Bases for Piecewise Cubic Polynomials
- The Sparse Basis Problem and Multilinear Algebra
- A representation theorem for Schauder bases in Hilbert space
- Applied Linear Algebra
- Piecewise polynomials and the finite element method
- Accuracy and Stability of Numerical Algorithms
- A geometric approach to finite rank unitary perturbations
- Computational Physics
This page was built for publication: Optimal orthogonalization processes