Topic
Zero matrix
About: Zero matrix is a research topic. Over the lifetime, 408 publications have been published within this topic receiving 5489 citations. The topic is also known as: null matrix.
Papers published on a yearly basis
1 / 2
Papers
TL;DR: In this paper, the zero range process is constructed when the stochastic matrix determining the one particle motion satisfies a mild assumption, and the set of invariant measures for this process is described in the following two cases: a) the system is attractive and $p(x, y)$ is recurrent.
Abstract: On a countable set of sites $S$, the zero range process is constructed when the stochastic matrix $p(x, y)$ determining the one particle motion satisfies a mild assumption. The set of invariant measures for this process is described in the following two cases: a) The system is attractive and $p(x, y)$ is recurrent. b) The system is attractive, $p(x, y)$ corresponds to a simple random walk on the integers and the rate at which particles leave any site is bounded.
360 citations
TL;DR: The classical and modified Gram-Schmidt (CGS) orthogonalization is one of the fundamental procedures in linear algebra as mentioned in this paper, and it is equivalent to the factorization AQ1R, where Q1∈Rm×n with orthonormal columns and R upper triangular.
282 citations
Patent•
9 Jun 2011TL;DR: A method for constructing a low-density parity-check (LDPC) code using a structured base parity check matrix with permutation matrix, pseudo-permutation matrix or zero matrix as constituent sub-matrices is presented in this paper.
Abstract: A method for constructing a low-density parity-check (LDPC) code using a structured base parity check matrix with permutation matrix, pseudo-permutation matrix, or zero matrix as constituent sub-matrices; and expanding the structured base parity check matrix into an expanded parity check matrix A method for constructing a LDPC code using a structured base parity check matrix H=[H d |H p ], H d is the data portion, and H p is the parity portion of the parity check matrix; the parity portion of the structured base parity check matrix is such so that when expanded, an inverse of the parity portion of the expanded parity check matrix is sparse; and expanding the structured base parity check matrix into an expanded parity check matrix A method for encoding variable sized data by using the expanded LDPC code; and applying shortening, puncturing
232 citations
201 citations
TL;DR: The zero divisor graph of a commutative semigroup with zero is a graph whose vertices are the nonzero zero-divisors of the semigroup, with two distinct vertices joined by an edge.
167 citations
Related Topics (5)
Performance Metrics
| Year | Papers |
|---|---|
| 2021 | 9 |
| 2020 | 6 |
| 2019 | 9 |
| 2018 | 5 |
| 2017 | 20 |
| 2016 | 19 |