Results 201 to 210 of about 26,367 (267)

Efficient Tensor Completion Algorithms for Highly Oscillatory Operators

open access: yesNumerical Linear Algebra with Applications, Volume 33, Issue 4, August 2026.
ABSTRACT We address the problem of recovering highly oscillatory operators, represented as n×n$$ n\times n $$ matrices with a fixed set of observed entries. Given that these matrices can be well compressed by butterfly matrix decomposition of L=𝒪(logn) levels requiring only O(nlogn)$$ O\left(n\log n\right) $$ degrees of freedom, we propose a novel ...
Navjot Singh   +3 more
wiley   +1 more source

Bidiagonal Decompositions and High‐Accuracy Computations for Newton Collocation Matrices

open access: yesNumerical Linear Algebra with Applications, Volume 33, Issue 4, August 2026.
ABSTRACT We consider a class of collocation matrices A$$ A $$ associated with the Newton basis of the space of polynomials of degree at most n$$ n $$, evaluated at a set of l+1≥n+1$$ l+1\ge n+1 $$ nodes. In the most general setting, we allow n$$ n $$ of these nodes to either coincide with or differ from those defining the Newton basis.
E. Mainar, A. Marco, B. Rubio, R. Viaña
wiley   +1 more source

Randomized Algorithms for Streaming Low‐Rank Approximation in Tree Tensor Network Format

open access: yesNumerical Linear Algebra with Applications, Volume 33, Issue 4, August 2026.
ABSTRACT In this work, we present the tree tensor network Nyström (TTNN), an algorithm that extends recent research on streamable tensor approximation, such as for Tucker and tensor‐train formats, to the more general tree tensor network format, enabling a unified treatment of various existing methods.
Alberto Bucci, Gianfranco Verzella
wiley   +1 more source

Mixed Precision Augmented GMRES

open access: yesNumerical Linear Algebra with Applications, Volume 33, Issue 4, August 2026.
ABSTRACT We aim to accelerate the restarted generalized minimal residual (GMRES) method for the solutions of linear systems by combining two types of techniques. On the one hand, mixed precision GMRES algorithms, which use lower precision in certain steps of the inner cycles, offer significant reductions in computational and memory costs.
Yongseok Jang   +2 more
wiley   +1 more source

Vitamin D supplementation in diabetic retinopathy: an optical coherence tomography angiography study of changes in macular perfusion. [PDF]

open access: yesInt J Retina Vitreous
Fekri S   +7 more
europepmc   +1 more source

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