New Algorithms for Sign k-Potent Sign Patterns
Published:Dec 30, 2025 14:38
•1 min read
•ArXiv
Analysis
This paper addresses the construction and properties of sign k-potent sign patterns, which are matrices with entries from {+, -, 0} that satisfy a specific power relationship. It improves upon existing algorithms for constructing these patterns, particularly sign idempotent patterns (k=1), by providing a new algorithm that terminates in a single iteration. The paper also provides an algorithm for constructing sign k-potent patterns and conditions for them to allow k-potence. This is important because it provides more efficient and accurate methods for analyzing and constructing these specific types of matrices, which have applications in various fields.
Key Takeaways
- •Provides a new, more efficient algorithm for constructing sign idempotent sign patterns.
- •Offers an algorithm for constructing sign k-potent sign patterns.
- •Establishes conditions for sign k-potent patterns to allow k-potence.
Reference
“The paper gives a new algorithm that terminates in a single iteration to construct all possible sign idempotent sign patterns.”