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Matrix diagonalization algorithm and its applicability to the nuclear shell model

Physical Review C, 2011
An importance-sampling iterative algorithm for diagonalizing shell model Hamiltonian matrices is reviewed and implemented in a spin uncoupled basis. Shell model spaces of dimensions up to N < or approx.10{sup 9} are considered. The analysis shows that about 10% of the basis states are enough to bring the eigenvalues to convergence.
D. Bianco   +4 more
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FastMNMF: Joint Diagonalization Based Accelerated Algorithms for Multichannel Nonnegative Matrix Factorization

ICASSP 2019 - 2019 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), 2019
A multichannel extension of nonnegative matrix factorization (NMF) for audio/music data, called multichannel $NMF$ (MNMF), has been proposed by Sawada et $al$ ["Multichannel extensions of non-negative matrix factorization with complex-valued data IEEE Trans. ASLP, vol. 21, no. 5, pp. 971-982, May 2013].
Nobutaka Ito, Tomohiro Nakatani
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A numerical algorithm for block-diagonal decomposition of matrix *-algebras with general irreducible components

Japan Journal of Industrial and Applied Mathematics, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Maehara, Takanori, Murota, Kazuo
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Application of the sequential matrix diagonalization algorithm to high-dimensional functional MRI data

Computational Statistics, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Manuel Carcenac, Soydan Redif
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A numerical algorithm for block-diagonal decomposition of matrix $${*}$$ -algebras with application to semidefinite programming

Japan Journal of Industrial and Applied Mathematics, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
MUROTA Kazuo   +3 more
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Large matrix diagonalization, comparison of various algorithms and a new proposal

Chemical Physics Letters, 1994
Abstract We compare various algorithms for large matrix diagonalization, namely the Davidson and Olsen—Davidson algorithms, and a Lanczos-like one, as well as a new method introduced here. The numerical tests are performed with the help of a model involving a vibronic Hamiltonian and a bath.
openaire   +1 more source

A Power Iteration Algorithm for ICA Based on Diagonalizations of Non-Linearized Covariance Matrix

First International Conference on Innovative Computing, Information and Control - Volume I (ICICIC'06), 2006
In this paper, we propose a novel algorithm, "Power- ICA", for independent component analysis (ICA) that is analog of the power iteration for solving the eigenvalue problem of a matrix. In each iteration the updating of ICA matrix is fully-multiplicative, rather than the partly multiplicative and partly additive in the conventional learning algorithms.
openaire   +1 more source

The Improved Diagonal-Matrix-Weight IMM Algorithm Based on LDU Factorization

2012
The diagonal-matrix-weight IMM (DIMM) algorithm can solve the IMM algorithm confusions of probability density functions (PDFs) and probability masses of stochastic process. However, the DIMM algorithm may generate calculating divergence, caused by the fact that the state error covariance matrix is repeatedly applied to calculate the inverse matrix.
Liang Gao   +5 more
openaire   +1 more source

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