Matrix singular value decomposition for pole-free solutions of homogeneous matrix equations as applied to numerical modeling methods [PDF]
Vladimir A. Labay, Jens Børnemann
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Silicon anodes in sulfide‐based all‐solid‐state batteries suffer from interfacial instability caused by volumetric fluctuations and contact degradation, restricting their practical implementation despite high capacity. This study presents design strategies that leverage controlled active material expansion and an elastic recoverable anolyte to form an ...
Youngjin Song +7 more
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The matrix sign decomposition and its relation to the polar decomposition
The sign function maps a matrix \(A\) with complex entries to a matrix \[ S = \text{sign} (A) = Z \left( \begin{matrix} - I & 0 \\ - 0 & I \end{matrix} \right) Z^{-1}, \] if \(A = ZJZ^{-1}\), where \(J\) is the Jordan form of \(A\) and \(J = \left( \begin{smallmatrix} J_ 1 & 0 \\ 0 & J_ 2 \end{smallmatrix} \right)\), where the eigenvalues of \(J_ 1 ...
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Multiplicative decomposition of nonsingular matrix valued semimartingales [PDF]
Rajeeva L. Karandikar
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Transforming Cellulose Into Functional Three‐Dimensional Structures
Cellulose is promising for replacing synthetic polymers due to its excellent mechanical properties and low cost. This review highlights the recent advancements in transforming cellulose into functional 3D structures, including liquid gels and porous materials.
Xia Sun +5 more
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Excited State Modulation in Carbene‐Metal‐Amides to Design Fast and Bright Blue Delayed Fluorescence
Gold‐centered carbene‐metal amide (CMA) materials with carbonyl‐group substitution on the amide donor ligand. Molecular design ensures that the charge transfer (CT) state is lower in energy than the locally excited (3LE) states. The energy difference between CT and LE states controls the rate of the delayed fluorescence.
Charlotte Riley +3 more
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Enhanced Efficient 3D Poisson Solver Supporting Dirichlet, Neumann, and Periodic Boundary Conditions
This paper generalizes the efficient matrix decomposition method for solving the finite-difference (FD) discretized three-dimensional (3D) Poisson’s equation using symmetric 27-point, 4th-order accurate stencils to adapt more boundary conditions (BCs), i.
Chieh-Hsun Wu
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Matrix decomposition for modeling lesion development processes in multiple sclerosis. [PDF]
Hu M +6 more
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A decomposition for a stochastic matrix with an application to MANOVA
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Transducer Materials Mediated Deep Brain Stimulation in Neurological Disorders
This review discusses advanced transducer materials for improving deep brain stimulation (DBS) in neurological disorders. These materials respond to light, ultrasound, or magnetic fields, enabling precise, less invasive neuromodulation. Their stimulus‐responsive properties enhance neural control and adaptive therapy, paving the way for next‐generation ...
Di Zhao +5 more
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