Qualcomm incorporated (20240106517). SCALABLE HERMITIAN MATRIX INVERSION simplified abstract
Contents
- 1 SCALABLE HERMITIAN MATRIX INVERSION
- 1.1 Organization Name
- 1.2 Inventor(s)
- 1.3 SCALABLE HERMITIAN MATRIX INVERSION - A simplified explanation of the abstract
- 1.4 Simplified Explanation
- 1.5 Potential Applications
- 1.6 Problems Solved
- 1.7 Benefits
- 1.8 Potential Commercial Applications
- 1.9 Possible Prior Art
- 1.10 Original Abstract Submitted
SCALABLE HERMITIAN MATRIX INVERSION
Organization Name
Inventor(s)
Andrea Garavaglia of Nuremberg (DE)
SCALABLE HERMITIAN MATRIX INVERSION - A simplified explanation of the abstract
This abstract first appeared for US patent application 20240106517 titled 'SCALABLE HERMITIAN MATRIX INVERSION
Simplified Explanation
The patent application describes an apparatus that can obtain data or signals associated with a square matrix, perform a decomposition process to obtain a triangular matrix, estimate the inverse of the triangular matrix, calculate the inverse of the original matrix, and transmit the data based on the calculated inverse.
- Obtain data or signals associated with a square matrix
- Perform a decomposition process to obtain a triangular matrix
- Estimate the inverse of the triangular matrix
- Calculate the inverse of the original matrix
- Transmit data based on the calculated inverse
Potential Applications
This technology could be applied in fields such as data encryption, signal processing, and numerical analysis.
Problems Solved
This technology solves the problem of efficiently calculating the inverse of a matrix, which is a common operation in various mathematical and computational tasks.
Benefits
The benefits of this technology include improved efficiency in matrix operations, enhanced data processing capabilities, and increased accuracy in calculations.
Potential Commercial Applications
Potential commercial applications of this technology include software development for data analysis tools, encryption software, and scientific computing applications.
Possible Prior Art
One possible prior art for this technology could be existing algorithms and methods for matrix decomposition and inversion in the field of linear algebra.
Unanswered Questions
How does this technology compare to existing methods for matrix inversion?
This article does not provide a direct comparison to existing methods for matrix inversion. It would be helpful to know the specific advantages or improvements offered by this new approach.
What are the limitations or constraints of this technology in practical applications?
The article does not address any potential limitations or constraints of implementing this technology in real-world scenarios. Understanding these factors would be crucial for assessing the feasibility of adoption.
Original Abstract Submitted
an apparatus may be configured to obtain one or more of data or at least one signal associated with at least one first matrix, where the at least one first matrix is at least one square matrix; perform a decomposition process on the at least one first matrix to obtain at least one first triangular matrix; estimate an inverse of the at least one first triangular matrix based on the at least one second triangular matrix; calculate an inverse of the at least one first matrix based on at least one of (1) the estimated inverse of the at least one second triangular matrix, or (2) the estimated inverse of the at least one first triangular matrix; and transmit one or more of the data or the at least one signal based on the calculated inverse of the at least one first matrix.
