Matrix pencil
View article: The Impact of Different Grid Size Values and Dose Calculation Algorithms on Plan Accuracy in Vmat-Based Radiotherapy for Breast Cancer
The Impact of Different Grid Size Values and Dose Calculation Algorithms on Plan Accuracy in Vmat-Based Radiotherapy for Breast Cancer Open
This study evaluated the impact of dose calculation algorithms (Monte Carlo and Pencil Beam) and grid size values (1.5 mm, 3 mm, and 5 mm) on the accuracy of VMAT-based radiotherapy plans for breast cancer. Six different treatment plans we…
View article: Experimental Study on Dispersion Analysis of Guided Waves Based on Pencil Lead Break Actuation Scanning
Experimental Study on Dispersion Analysis of Guided Waves Based on Pencil Lead Break Actuation Scanning Open
Accurate acquisition of dispersion characteristics is a critical prerequisite for structural health monitoring (SHM) of composite material structures using the ultrasonic guided wave. However, conventional methods face significant challeng…
View article: Topological Invariants of Singular Matrix Pencils
Topological Invariants of Singular Matrix Pencils Open
Singular matrix pencils, represented as $A - lambda B$, where $A$ and $B$ are rectangular or square but generically rank-deficient matrices, are fundamental structures in diverse fields such as control theory, descriptor systems, and const…
View article: Topological Canonical Forms for Linear Operator Pencils
Topological Canonical Forms for Linear Operator Pencils Open
This paper introduces a framework for topological canonical forms of linear operator pencils on Banach spaces. Classical algebraic canonical forms, such as the Kronecker canonical form for matrix pencils, provide a complete description of …
View article: Topological Invariants of Singular Matrix Pencils
Topological Invariants of Singular Matrix Pencils Open
Singular matrix pencils, represented as $A - lambda B$, where $A$ and $B$ are rectangular or square but generically rank-deficient matrices, are fundamental structures in diverse fields such as control theory, descriptor systems, and const…
View article: Topological Invariants of Singular Matrix Pencils
Topological Invariants of Singular Matrix Pencils Open
Singular matrix pencils, represented as $A - lambda B$, where $A$ and $B$ are rectangular or square but generically rank-deficient matrices, are fundamental structures in diverse fields such as control theory, descriptor systems, and const…
View article: Topological Canonical Forms for Linear Operator Pencils
Topological Canonical Forms for Linear Operator Pencils Open
This paper introduces a framework for topological canonical forms of linear operator pencils on Banach spaces. Classical algebraic canonical forms, such as the Kronecker canonical form for matrix pencils, provide a complete description of …
View article: "Symmetric Excitation Injection and STMPM Based Fault Location in HVDC Grounding Electrode Lines"
"Symmetric Excitation Injection and STMPM Based Fault Location in HVDC Grounding Electrode Lines" Open
"Fault detection and precise localization in High-Voltage Direct Current grounding electrode lines are extremely challenging due to the weak and highly concealed nature of fault information. To address this, a novel single-ended ranging al…
View article: Falsifiable Estimation of Low-Frequency Correlation Times in Precision Detectors: A Portable Workflow with Explicit Failure Modes
Falsifiable Estimation of Low-Frequency Correlation Times in Precision Detectors: A Portable Workflow with Explicit Failure Modes Open
Precision timing in large detectors and quantum-sensing systems is often limited by slow fluctuations whose impact is easy to see in performance plots but hard to quantify in a reproducible way. This work introduces a falsifiable, frequenc…
View article: Falsifiable Estimation of Low-Frequency Correlation Times in Precision Detectors: A Portable Workflow with Explicit Failure Modes
Falsifiable Estimation of Low-Frequency Correlation Times in Precision Detectors: A Portable Workflow with Explicit Failure Modes Open
Precision timing in large detectors and quantum-sensing systems is often limited by slow fluctuations whose impact is easy to see in performance plots but hard to quantify in a reproducible way. This work introduces a falsifiable, frequenc…
View article: Enhanced matrix pencil method for robust and efficient direction of arrival estimation in sparse and multi-frequency environments
Enhanced matrix pencil method for robust and efficient direction of arrival estimation in sparse and multi-frequency environments Open
Accurate direction of arrival (DOA) estimation is vital for applications in radar, sonar, wireless communication, and localization. This paper proposes an enhanced matrix pencil method (MPM) framework to overcome limitations of traditional…
View article: Topological Canonical Forms for Linear Operator Pencils
Topological Canonical Forms for Linear Operator Pencils Open
This paper introduces a framework for topological canonical forms of linear operator pencils on Banach spaces. Classical algebraic canonical forms, such as the Kronecker canonical form for matrix pencils, provide a complete description of …
View article: Projections onto Spectral Matrix Cones
Projections onto Spectral Matrix Cones Open
Semidefinite programming is a fundamental problem class in convex optimization, but despite recent advances in solvers, solving large-scale semidefinite programs remains challenging. Generally the matrix functions involved are spectral or …
View article: Projections onto Spectral Matrix Cones
Projections onto Spectral Matrix Cones Open
Semidefinite programming is a fundamental problem class in convex optimization, but despite recent advances in solvers, solving large-scale semidefinite programs remains challenging. Generally the matrix functions involved are spectral or …
View article: Matrix pencil-based analysis of multirate simulation schemes
Matrix pencil-based analysis of multirate simulation schemes Open
View article: Mean pore diameters of 3D printed micro-capillaries using the matrix pencil method
Mean pore diameters of 3D printed micro-capillaries using the matrix pencil method Open
View article: Correction of non-anechoic antenna measurements using matrix pencil algorithm with adaptively adjusted setup
Correction of non-anechoic antenna measurements using matrix pencil algorithm with adaptively adjusted setup Open
View article: A complete pair of solvents of a quadratic matrix pencil
A complete pair of solvents of a quadratic matrix pencil Open
View article: Multi-Object Feature Extraction in Resonance Region Based on Short-Time Matrix Pencil Method
Multi-Object Feature Extraction in Resonance Region Based on Short-Time Matrix Pencil Method Open
As an intrinsic characteristic of the target, the pole characteristic of the resonant region is solely determined by the target itself and remains invariant with respect to external factors such as the incident direction and polarization o…
View article: A Forward-Backward Matrix Pencil and Variable Projection Based Method for Reducing the Number of Elements in Shaped-Beam Pattern Linear Arrays
A Forward-Backward Matrix Pencil and Variable Projection Based Method for Reducing the Number of Elements in Shaped-Beam Pattern Linear Arrays Open
This paper presents a variable projection based method, used along with the forward-backward matrix pencil method, for the synthesis of linear arrays with shaped-beam patterns employing a least number of antenna elements. The forward-backw…
View article: Precision power quality control in grid-integrated microgrid via matrix pencil technique
Precision power quality control in grid-integrated microgrid via matrix pencil technique Open
This manuscript presents a Matrix Pencil-based Energy Management Control (MPEMC) approach to improve power quality (PQ) and power flow in grid-integrated solar PV systems. The proposed method combines a non-linear dynamic load-based shunt …
View article: Improvement of the accuracy of the reflector distance estimation in the Fresnel zone in the method of the time-domain signal synthesis based on the parametric spectral analysis
Improvement of the accuracy of the reflector distance estimation in the Fresnel zone in the method of the time-domain signal synthesis based on the parametric spectral analysis Open
Current paper considers the problem of the longitudinal distance estimation on the ra-dar scan data with the help of the parametric spectral analysis methods. It is demonstratedthat the matrix pencil method and the Prony’s method are more …
View article: Acoustic eigenvalue estimation using Rayleigh quotient iteration with a sparse matrix pencil
Acoustic eigenvalue estimation using Rayleigh quotient iteration with a sparse matrix pencil Open
Various methods for estimating acoustic eigenvalues from a measured signal can be found in the literature. Among these methods, the matrix pencil method is a popular choice. The matrix pencil method provides reasonable eigenvalue estimates…
View article: Extraction of Dispersion and Attenuation Curves for Rayleigh Waves using Matrix-Pencil Method
Extraction of Dispersion and Attenuation Curves for Rayleigh Waves using Matrix-Pencil Method Open
View article: Improving the Accuracy of the Pencil of Function Method Increasing Its Matrix Polynomial Degree
Improving the Accuracy of the Pencil of Function Method Increasing Its Matrix Polynomial Degree Open
The estimation of complex natural frequencies in linear systems through their transient response analysis is a common practice in engineering and applied physics. In this context, the conventional Generalized Pencil of Function (GPOF) meth…
View article: Matrix Pencil-Based Analysis of Multirate Simulation Schemes
Matrix Pencil-Based Analysis of Multirate Simulation Schemes Open
View article: The Matrix Pencil Method for Determining Imaginary Axis Eigenvalues and Stability of Neutral Delay Reaction–Diffusion Systems
The Matrix Pencil Method for Determining Imaginary Axis Eigenvalues and Stability of Neutral Delay Reaction–Diffusion Systems Open
In this note, the stability of neutral delay reaction–diffusion systems (NDRDS) was concerned by applying the matrix pencil and the Kronecker product. A new computing method for the distribution of imaginary axis eigenvalues on general n ‐…
View article: DETECTION OF ROTOR FAULTS IN INDUCTION MOTOR BY HIGHER CURRENT HARMONICS USING THE MATRIX PENCIL METHOD
DETECTION OF ROTOR FAULTS IN INDUCTION MOTOR BY HIGHER CURRENT HARMONICS USING THE MATRIX PENCIL METHOD Open
Broken rotor bars in the squirrel-cage winding of an induction motor are one of the causes of premature failure in industrial equipment. A broken rotor bar leads to motor overheating, increased vibration, and reduced operational efficiency…
View article: DETECTION OF ROTOR FAULTS IN INDUCTION MOTOR IN NON-STATIONARY CONDITIONS USING THE MATRIX PENCIL METHOD
DETECTION OF ROTOR FAULTS IN INDUCTION MOTOR IN NON-STATIONARY CONDITIONS USING THE MATRIX PENCIL METHOD Open
Increasing the economic efficiency of production by reducing unplanned downtime and optimizing the maintenance of industrial equipment requires the development of diagnostic methods for such key equipment components as induction motors. In…
View article: Complex Eigenvalue Analysis of a Linear Pencil: An Experimental Study
Complex Eigenvalue Analysis of a Linear Pencil: An Experimental Study Open
This paper is concerned with a finite-dimensional example of a linear pencil which leads to a class of non-self-adjoint matrices. We consider the linear pencil $H_c-\lambda L$, where $H_c$ is a tri-diagonal matrix with a constant parameter…