The second-order accuracy difference schemes for integral-type time-nonlocal parabolic problems
This is a discussion on the second-order accuracy difference schemes for approximate solution of the integral-type time-nonlocal parabolic problems. The theorems on the stability of r-modified Crank-Nicolson difference schemes and second-order accuracy ...
Allaberen Ashyralyev +1 more
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Minimizing the condition number of a positive definite matrix by completion [PDF]
Elsner L, He C, Mehrmann V. Minimizing the condition number of a positive definite matrix by completion. Numerische Mathematik. 1994;69(1):17-23.We consider the problem of minimizing the spectral condition number of a positive definite matrix by ...
Mehrmann, Volker +2 more
core +2 more sources
From Adult to Adolescent: Alignment in Clinical Trials and Outcomes in Axial Spondyloarthritis
Spondyloarthritis (SpA) is a group of chronic inflammatory diseases encompassing axial and peripheral forms, with up to 20% of patients developing symptoms before age 16. Despite this substantial pediatric burden, treatment options for juvenile‐onset SpA (JSpA), particularly those with axial disease (axJSpA), remain limited.
Pamela F. Weiss +9 more
wiley +1 more source
On the existence of a positive definite solution of the matrix equation X+ATX−1A= I [PDF]
The question is raised under which conditions on the real (square) matrix A the matrix equation X+ATX−1A=I has a real symmetric positive definite solution X. Both necessary and sufficient solvability conditions on A are derived.
Engwerda, J.C. +2 more
core +1 more source
A Q‐Learning Algorithm to Solve the Two‐Player Zero‐Sum Game Problem for Nonlinear Systems
A Q‐learning algorithm to solve the two‐player zero‐sum game problem for nonlinear systems. ABSTRACT This paper deals with the two‐player zero‐sum game problem, which is a bounded L2$$ {L}_2 $$‐gain robust control problem. Finding an analytical solution to the complex Hamilton‐Jacobi‐Issacs (HJI) equation is a challenging task.
Afreen Islam +2 more
wiley +1 more source
Iterative methods for the extremal positive definite solution of the matrix equation X+A*X-αA=Q [PDF]
In this paper, the inversion free variant of the basic fixed point iteration methods for obtaining the maximal positive definite solution of the nonlinear matrix equation X+A*X-αA=Q with the case ...
Zhang, Xiang-lin +2 more
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Observer‐Based Adaptive Event‐Triggered Tracking Control for Fuzzy TS Systems With Premise Mismatch
This paper presents an adaptive logistic event‐triggered observer‐based tracking controller for Takagi‐Sugeno fuzzy systems under constrained inputs and network delays. Leveraging a hybrid LMI and Secretary Bird Optimization approach, this strategy significantly minimizes communication overhead and computational burden while ensuring optimal reference ...
Oussama Djadane +3 more
wiley +1 more source
Parallel solution of symmetric positive definite systems with hyperbolic rotations [PDF]
An algorithm based on hyperbolic rotations is presented for the solution of linear systems of equations Ax = b, with symmetric positive definite coefficient matrix A. Forward elimination and backsubstitution are replaced by matrix-vector multiplications,
Delosme, Jean-Marc +3 more
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AI‐Assisted Workflow for (Scanning) Transmission Electron Microscopy: From Data Analysis Automation to Materials Knowledge Unveiling. Abstract (Scanning) transmission electron microscopy ((S)TEM) has significantly advanced materials science but faces challenges in correlating precise atomic structure information with the functional properties of ...
Marc Botifoll +19 more
wiley +1 more source
Fourth-Order Four-Point Boundary Value Problem: A Solutions Funnel Approach
We investigate the existence of positive or a negative solution of several classes of four-point boundary-value problems for fourth-order ordinary differential equations.
Panos K. Palamides, Alex P. Palamides
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