We study the GMRES algorithm applied to linear systems of equations involving a scaled and shifted matrix whose entries are independent complex Gaussians. When the right-hand side of this linear system is independent of this random matrix, the behavior of the GMRES residual error can be determined exactly. To handle cases where the right hand side depends on the random matrix, we study the pseudospectra and numerical range of Ginibre matrices and prove a restricted version of Crouzeix’s conjecture.
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Nanocarrier foliar uptake pathways affect delivery of active agents and plant physiological response
Top-side foliar application of layered double hydroxide penetrates the cuticle better, accumulates between epidermal cell walls, and improves plant performance more than bottom-side application.
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- Award ID(s):
- 2133568
- PAR ID:
- 10647046
- Publisher / Repository:
- Rotl Society of Chemistry
- Date Published:
- Journal Name:
- Environmental Science: Nano
- Volume:
- 12
- Issue:
- 1
- ISSN:
- 2051-8153
- Page Range / eLocation ID:
- 660 to 674
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
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