Perimeter preserver of matrices over semifields [PDF]
summary:For a rank-$1$ matrix $A= {\bold a \bold b}^t$, we define the perimeter of $A$ as the number of nonzero entries in both $\bold a$ and $\bold b$. We characterize the linear operators which preserve the rank and perimeter of rank-$1$ matrices over ...
Norman J. Pullman +11 more
core +2 more sources
Cone type majorization and its strong linear preservers
This study introduces a novel notion, cone type majorization and characterizes the same. Further, the structure of linear preservers and strong linear preservers of this cone type majorization have been studied.
Kosuru, G. Sankara Raju, Saha, Subhajit
openaire +3 more sources
Strong Stability Preserving Explicit Linear Multistep Methods with Variable Step Size [PDF]
Strong stability preserving (SSP) methods are designed primarily for time integration of nonlinear hyperbolic PDEs, for which the permissible SSP step size varies from one step to the next. We develop the first SSP linear multistep methods (of order two and three) with variable step size, and prove their optimality, stability, and convergence.
Yiannis Hadjimichael +3 more
openaire +4 more sources
The Mazur-Ulam property for a Banach space which satisfies a separation condition (Research on preserver problems on Banach algebras and related topics) [PDF]
After some preparations in section 1, we recall the three well known concepts: the Choquet boundary, the Šilov boundary, and the strong boundary points in section 2. We need to define them by avoiding the confusion which appears because of the variety of
HATORI, Osamu
core
Implicit and Implicit–Explicit Strong Stability Preserving Runge–Kutta Methods with High Linear Order [PDF]
When evolving in time the solution of a hyperbolic partial differential equation, it is often desirable to use high order strong stability preserving (SSP) time discretizations. These time discretizations preserve the monotonicity properties satisfied by the spatial discretization when coupled with the first order forward Euler, under a certain time ...
Sidafa Conde +3 more
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Computation of Optimal Linear Strong Stability Preserving Methods Via Adaptive Spectral Transformations of Poisson–Charlier Measures [PDF]
50 pages, 5 ...
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Optimal explicit strong stability preserving Runge–Kutta methods with high linear order and optimal nonlinear order [PDF]
High order spatial discretizations with monotonicity properties are often desirable for the solution of hyperbolic PDEs. These methods can advantageously be coupled with high order strong stability preserving time discretizations. The search for high order strong stability time-stepping methods with large allowable strong stability
Sigal Gottlieb +2 more
openaire +4 more sources
Strong linear preservers of symmetric doubly stochastic or doubly substochastic matrices
The authors present some results about LOCC graphs, i.e. graphs with particular connected components, and by means of them improve some results due to \textit{C. K. Li, B. S. Tam}, and \textit{N. K. Tsing} [Linear Algebra Appl. 341, 5--22 (2002; Zbl 0998.15004)].
Lin, Shwu-Huey, Tam, Bit-Shun
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ABSTRACT Pediatric radiation therapy presents unique challenges compared to adult treatments, including those of immobilization, potential need for sedation, and the critical importance of accurate, reproducible positioning. Additionally, heightened attention to imaging doses is necessary to minimize long‐term toxicity in survivors.
Parham Alaei +17 more
wiley +1 more source
ABSTRACT Background Pediatric bone sarcoma patients and survivors may experience psychosocial challenges related to childhood cancer after their intensive, body‐altering treatment. This cross‐sectional study aimed to evaluate generic and survivor‐specific psychosocial outcomes in a national cohort of pediatric bone sarcoma patients and survivors, and ...
Hinke van der Hoek +14 more
wiley +1 more source

