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The Van Hove diagonality conditions and ensemble averages

Physica, 1966
Abstract It is shown that a stationary, ergodic stochastic process satisfies conditions analogous to Van Hove's1) well known diagonality conditions. In this context Van Hove's irreducible diagonal matrix elements are shown to be simply cumulant averages.
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Diagonal conditions for lattice-valued uniform convergence spaces

Fuzzy Sets and Systems, 2013
We define diagonal conditions for lattice-valued uniform convergence spaces and show that these conditions are preserved under initial constructions. Further, the forgetful functor from the category of stratified lattice-valued uniform convergence spaces into the category of stratified lattice-valued limit spaces maps these conditions to corresponding ...
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On diagonal N-representablity problem II: Sufficient conditions

Journal of Computational Methods in Sciences and Engineering, 2013
A set of transformational matrices (TM) is introduced which convert the weights of a mixed state into the diagonal elements of reduced density matrix (RDM). The formulae for the products of TM are deduced; the singular values of TM are calculated and the corresponding spectral expansion is built.
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The Condition Number of Equivalence Transformations That Block Diagonalize Matrix Pencils

SIAM Journal on Numerical Analysis, 1983
How ill-conditioned must a matrix S be if its columns are constrained to span certain subspaces? We answer this question in order to find nearly best conditioned matrices SR and SL that block diagonalize a given matrix pencil T=A+λB, i.e. S L −1 TSR=Θ is bloc diagonal.
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Diagonally Modified Conditional Gradient Methods for Input Constrained Optimal Control Problems

SIAM Journal on Control and Optimization, 1986
Following the terminology of \textit{R. A. Tapia} [J. Optim. Theory Appl. 22, 135-194 (1977; Zbl 0336.65034)] the author considers a diagonally modified conditional gradient method. The aim of this paper is to study the asymptotic behaviour of the associated minimization algorithms. Convergence rate estimates are obtained.
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Approximate joint diagonalization with well-conditioned diagonalizer for overdetermined convolutive blind audio source separation

2023 IEEE 12th Global Conference on Consumer Electronics (GCCE), 2023
Shinya Saito, Kunio Oishi
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A Riccati equation for block-diagonalization of ill-conditioned systems

IEEE Transactions on Automatic Control, 1975
A simple transformation, originally introduced for singularly perturbed systems, is now applicable to a larger class of time-invariant systems.
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A Condition for Diagonability of Matrices

The American Mathematical Monthly, 1956
H. K. Farahat, L. Mirsky
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