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Upper bounds on the complexity of solving systems of linear equations

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/3-540-10856-4_79openalex-snapshot
Fast parallel computation of polynomials using few processors
inferredcites →https://doi.org/10.1007/bf01068849openalex-snapshot
Parallel computations in linear algebra
inferredcites →https://doi.org/10.1007/bf02163269openalex-snapshot
Numerical solution of linear equations with Toeplitz and Vector Toeplitz matrices
inferredcites →https://doi.org/10.1016/0020-0190(78)90079-0openalex-snapshot
An improved parallel processor bound in fast matrix inversion
inferredcites →https://doi.org/10.1016/0020-0190(79)90113-3openalex-snapshot
O(n2.7799) complexity for n × n approximate matrix multiplication
inferredcites →https://doi.org/10.1016/0020-0190(80)90033-2openalex-snapshot
Computing multivariate polynomials in parallel
inferredcites →https://doi.org/10.1016/0304-3975(83)90110-xopenalex-snapshot
The complexity of partial derivatives
inferredcites →https://doi.org/10.1063/1.526133openalex-snapshot
An exact recursion for the composite nearest-neighbor degeneracy for a 2× N lattice space
inferredcites →https://doi.org/10.1070/rm1980v035n05abeh001965openalex-snapshot
ON FAST CALCULATIONS IN SOME PROBLEMS OF LINEAR ALGEBRA CONNECTED WITH TOEPLITZ AND HANKEL MATRICES
inferredcites →https://doi.org/10.1090/s0025-5718-1974-0331751-8openalex-snapshot
Triangular factorization and inversion by fast matrix multiplication
inferredcites →https://doi.org/10.1109/sfcs.1978.34openalex-snapshot
Strassen's algorithm is not optimal trilinear technique of aggregating, uniting and canceling for constructing fast algorithms for matrix operations
inferredcites →https://doi.org/10.1109/t-c.1975.224291openalex-snapshot
Time and Parallel Processor Bounds for Linear Recurrence Systems
inferredcites →https://doi.org/10.1109/tc.1980.1675634openalex-snapshot
A Computation Model of Parallel Solution of Linear Equations
inferredcites →https://doi.org/10.1137/0112045openalex-snapshot
An Algorithm for the Inversion of Finite Toeplitz Matrices
inferredcites →https://doi.org/10.1137/0205040openalex-snapshot
Fast Parallel Matrix Inversion Algorithms
inferredcites →https://doi.org/10.1137/0208010openalex-snapshot
On the Parallel Evaluation of Multivariate Polynomials
inferredcites →https://doi.org/10.1137/0210032openalex-snapshot
Partial and Total Matrix Multiplication
inferredcites →https://doi.org/10.1137/0211038openalex-snapshot
On the Asymptotic Complexity of Matrix Multiplication
inferredcites →https://doi.org/10.1137/0212043openalex-snapshot
Fast Parallel Computation of Polynomials Using Few Processors
inferredcites →https://doi.org/10.1137/0707049openalex-snapshot
On Direct Methods for Solving Poisson’s Equations
inferredcites →https://doi.org/10.1137/1020096openalex-snapshot
A Survey of Parallel Algorithms in Numerical Linear Algebra
inferredcites →https://doi.org/10.1145/321420.321434openalex-snapshot
Matrix Inversion Using Parallel Processing
inferredcites →https://doi.org/10.1145/321738.321741openalex-snapshot
An Efficient Parallel Algorithm for the Solution of a Tridiagonal Linear System of Equations
inferredcites →https://doi.org/10.2307/2003785openalex-snapshot
Computational Methods of Linear Algebra

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Approximate Reduction of Finite Automata for High-Speed Network Intrusion Detection
inferred← citeshttps://doi.org/10.1007/978-3-642-15769-1_26openalex-snapshot
Points-to Analysis as a System of Linear Equations
inferred← citeshttps://doi.org/10.1007/bf01137457openalex-snapshot
Rapid parallel calculation of degrees in a quotient ring of polynomials over a finite field
inferred← citeshttps://doi.org/10.1007/s00012-010-0087-yopenalex-snapshot
On groups of hypersubstitutions
inferred← citeshttps://doi.org/10.1007/s10009-019-00520-8openalex-snapshot
Approximate reduction of finite automata for high-speed network intrusion detection
inferred← citeshttps://doi.org/10.1109/dft.2015.7315151openalex-snapshot
Predictive LBIST model and partial ATPG for seed extraction
inferred← citeshttps://doi.org/10.1109/ictai.2017.00163openalex-snapshot
Acquiring Local Preferences of Weighted Partial MaxSAT
inferred← citeshttps://doi.org/10.1111/2041-210x.12684openalex-snapshot
Speeding up the simulation of population spread models
inferred← citeshttps://doi.org/10.1163/1569392053971505openalex-snapshot
A probabilistic algorithm for finding the term rank of non-negative matrices
inferred← citeshttps://doi.org/10.1515/1569392053971505openalex-snapshot
A probabilistic algorithm for finding the term rank of non-negative matrices
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