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Everything about Matrix pencil
Concept in linear algebra
In linear algebra, a matrix pencil is a matrix-valued function defined on a field, usually the real or complex numbers. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Matrix pencilA 5-minute orientation
- Skim a recent paper: A Multi-Dimensional Matrix Pencil-Based Channel Prediction Method for Massive MIMO With MobilityInfluential work since 2022
- Pick up a classic book: The computation of Kronecker's canonical form of a singular pencilThe most-reprinted book on the subject
- Read the landmark paper: Estimating two-dimensional frequencies by matrix enhancement and matrix pencilCited 436 times
- Go sideways: Nonlinear eigenproblemA closely related topic
- Go sideways: Prony's methodA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Estimating two-dimensional frequencies by matrix enhancement and matrix pencil
The Matrix Pencil for Power System Modal Extraction
Using the matrix pencil method to solve phase unwrapping
Matrix pencil and system poles
Anechoic chamber evaluation using the matrix pencil method
A Pencil Approach for Embedding a Polynomial Matrix into a Unimodular matrix
On the Nearest Singular Matrix Pencil
Data processing in NMR relaxometry using the matrix pencil
🆕 Influential since 2022
A Multi-Dimensional Matrix Pencil-Based Channel Prediction Method for Massive MIMO With Mobility
Rapid Failure Diagnosis of Impaired Linear Antenna Arrays Based on Matrix Pencil Method
Height Measurement for Meter Wave MIMO Radar based on Matrix Pencil Under Complex Terrain
Enhanced DOD and DOA estimations in coprime MIMO radar: Modified matrix pencil method
Sensitive impulsive stimulated Brillouin spectroscopy by an adaptive noise-suppression Matrix Pencil
📚 Books worth reading
- 📕The computation of Kronecker's canonical form of a singular pencilP. Van Dooren · 1977
- 📕New algorithms for computing the Kronecker structure of a pencil with applications to systems and control theoryTheodorus Gertrudis Jospeh Beelen · 1987
Matrix pencilsAxel H. Ruhe · 1983
Intersections de deux quadriques et pinceaux de courbes de genre 1 =Olivier Wittenberg · 2007
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
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