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Qualitative Problems in Matrix Theory

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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/bf02230720openalex-snapshot
Unzerlegbare, nicht negative Matrizen
inferredcites →https://doi.org/10.1137/0108024openalex-snapshot
On the Eigenvalues and Eigenvectors of a Class of Matrices
inferredcites →https://doi.org/10.1137/0114083openalex-snapshot
New Generalizations of Jacobi Matrices
inferredcites →https://doi.org/10.2307/1880693openalex-snapshot
The Solution of Qualitative Comparative Static Problems
inferredcites →https://doi.org/10.2307/1907925openalex-snapshot
Nonnegative Square Matrices
inferredcites →https://doi.org/10.2307/1909110openalex-snapshot
Qualitative Economics and Morishima Matrices
inferredcites →https://doi.org/10.2307/1909522openalex-snapshot
Qualitative Economics and the Scope of the Correspondence Principle
inferredcites →https://doi.org/10.2307/1909797openalex-snapshot
The Theory of Qualitative Linear Systems
inferredcites →https://doi.org/10.2307/2003862openalex-snapshot
Matrix Iterative Analysis
inferredcites →https://doi.org/10.2307/2280287openalex-snapshot
Foundations of Economic Analysis.
inferredcites →https://doi.org/10.2307/2280713openalex-snapshot
Foundations of Economic Analysis.
inferredcites →https://doi.org/10.2307/2295817openalex-snapshot
The Scope of Qualitative Economics
inferredcites →https://doi.org/10.2307/2295838openalex-snapshot
Qualitative Economics and the Stability of Equilibrium
inferredcites →https://doi.org/10.2307/2295936openalex-snapshot
More Scope for Qualitative Economics
inferredcites →https://doi.org/10.2307/2295937openalex-snapshot
Partitionable Systems and Qualitative Economics
inferredcites →https://doi.org/10.2307/2315999openalex-snapshot
A Survey of Matrix Theory and Matrix Inequalities.
inferredcites →https://doi.org/10.2307/2556226openalex-snapshot
The Correspondence Principle: A Macroeconomic Application
inferredcites →https://doi.org/10.2307/2974403openalex-snapshot
Comparative Statics under Walras' Law: The Case of Strong Dependence
inferredcites →https://doi.org/10.6028/jres.060.036openalex-snapshot
Random notes on matrices
inferredcites →https://doi.org/10.6028/jres.071b.029openalex-snapshot
Matrices of class J2
inferredcites →https://doi.org/10.7249/p318openalex-snapshot
Non-Negative Square Matrices

What points at this work

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

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Qualitative Sensitivity Analysis
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A Structural Classification of Candidate Oscillatory and Multistationary Biochemical Systems
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Stability of nonlinear systems
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Stochastic eigenvectors for qualitative stochastic matrices
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Sufficient conditions for D-stability
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Mechanical vibration trees
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Combinatorially symmetric matrices
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LU decomposition of M-matrices by elimination without pivoting
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A theorem concerning certain sign symmetric matrices whose inverses are Morishima
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Regular and singular orthants of tridiagonal matrices
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Idempotence for sign-pattern matrices
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Spectra with positive elementary symmetric functions
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Global stability of ecosystems of the generalized volterra type
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An algorithm for identifying Morishima and anti-Morishima matrices and balanced digraphs
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Qualitatively invertible matrices
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Sign solvable graphs
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Inverting graphs of rectangular matrices
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Extension of Levins' Loop Analysis to transient and periodic disturbances
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Sign stability in model ecosystems: A complete class of sign-stable patterns
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Global asymptotic stability for a class of many-variable volterra prey-predator systems
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Optimal control for competing coalitions
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REFERENCES
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QUALITATIVE STABILITY OF MATRICES AND ECONOMIC THEORY: A SURVEY ARTICLE11I would like to thank the Department of Energy for support of the research underlying this paper, as well as Dick Ruppert for his helpful comments and corrections, and Leslie Fort, who did a superb job of typing this paper.
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SIGN SOLVABILITY
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QUALITATIVE MATRICES: STRONG SIGN-SOLVABILITY AND WEAK SATISFIABILITY11The first author's research was supported in part by the Office of Naval Research (N0014-76-C-0423) and the second author's research was supported in part by the National Science Foundation (MCS77-02474).
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IMPLEMENTATION ASPECTS OF MODEL MANAGEMENT: A FOCUS ON COMPUTER-ASSISTED ANALYSIS
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MEASURING COMPLEMENTARITY AND QUALITATIVE DETERMINACY IN MATRICIAL FORMS
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A CLASS OF GENERALIZED METZLERIAN MATRICES
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Structural sign patterns and reduced form restrictions
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The inertia sets of symmetric tridiagonal sign-patterns
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Constructions for potentially stable sign patterns
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Some results on the structure and spectra of matrix-products
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Book Reviews
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From qualitative matrices to quantitative restrictions
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THE SCOPE OF DIMENSIONAL ANALYSIS IN QUALITATIVE REASONING
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Some Aspects of the Theory of $PN$-Matrices
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A Class of Matrices Connected with Volterra Prey-Predator Equations
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Matrices, Digraphs, and Determinants
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The 2n conjecture on spectrally arbitrary sign patterns is false
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QUALITATIVE PROPERTIES OF SYSTEMS OF LINEAR CONSTRAINTS
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The Structure of Qualitatively Determinate Relationships
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When is a Matrix Sign Stable?
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Minimum number of non-zero-entries in a $7\times 7$ stable matrix
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Stabilising the Metzler matrices with applications to dynamical systems
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The phase rank of a matrix
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Matrices of class J2
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Buffered Qualitative Stability explains the robustness and evolvability of transcriptional networks
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Considerations on the Sign Structures of Stable Matrices
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