Bibliography for for Homogeneous Linear Systems

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  1. Homogeneous and linear systems with respect to a parameter (A new concept)
    El Tawil, Magdy A.
    Advances in Modelling and Analysis A, v 34, n 2, 1998, p 49-57, Compendex.
  2. Decomposition of solutions of homogeneous linear equations.  
    Tang, Guoping
    J. China Univ. Sci. Tech.  28  (1998),  no. 2, 133--135, MathSciNet.
  3. Limit Distribution of the Number of Solutions of a System of Stochastic Linear Homogeneous Equations with a Uniform Coefficient Matrix Over a Finite Local Ring.
    Alekseichuk, A.N.
    Cybernetics and systems analysis, 1998, vol. 34, no. 3, pp. 462, Ingenta.
  4. Systems of homogeneous linear equations with generalized diagonally dominant coefficient matrices. (Chinese)
    Zhang, Xiao Dong; Yang, Shang Jun
    Numer. Math. J. Chinese Univ. 19 (1997), no. 3, 200--205, MathSciNet.
  5. Complex Eigenvalues and Rotations: Are Your Students Going in Circles? (in Classroom Capsules)  
    James Duemmel  
    The College Mathematics Journal, Vol. 27, No. 5. (Nov., 1996), pp. 378-381, Jstor.  
  6. Eigenpictures: Picturing the Eigenvector Problem (in Classroom Computer Capsules)  
    Steven Schonefeld  
    The College Mathematics Journal, Vol. 26, No. 4. (Sep., 1995), pp. 316-319, Jstor.  
  7. Solving Homogeneous Linear Equations Over GF(2) via Block Wiedemann Algorithm  
    Don Coppersmith  
    Mathematics of Computation, Vol. 62, No. 205. (Jan., 1994), pp. 333-350, Jstor.
  8. Regions in the Complex Plane Containing the Eigenvalues of a Matrix  
    Richard A. Brualdi; Stephen Mellendorf  
    The American Mathematical Monthly, Vol. 101, No. 10. (Dec., 1994), pp. 975-985, Jstor.  
  9. General solution of a system of homogeneous linear equations over a commutative ring. (Russian)
    Elizarov, V. P.
    Uspekhi Mat. Nauk 49 (1994), no. 2(296), 141--142; translation in Russian Math. Surveys 49 (1994), no. 2, 153--154, MathSciNet.
  10. Subspaces and Echelon Forms  
    David C. Lay  
    The College Mathematics Journal, Vol. 24, No. 1. (Jan., 1993), pp. 57-62, Jstor.  
  11. Easy Algorithms for Finding Eigenvalues (in Notes)  
    Clifford Reiter  
    Mathematics Magazine, Vol. 63, No. 3. (Jun., 1990), pp. 173-178, Jstor.  
  12. A Simple Algorithm for Finding Eigenvalues and Eigenvectors for 2 × 2 Matrices (in The Teaching of Mathematics)  
    Tyre A. Newton  
    The American Mathematical Monthly, Vol. 97, No. 1. (Jan., 1990), pp. 57-60, Jstor.  
  13. Two Theorems on Singular Values and Eigenvalues (in Notes)  
    Roy Mathias  
    The American Mathematical Monthly, Vol. 97, No. 1. (Jan., 1990), pp. 47-50, Jstor.  
  14. Partition regular systems of homogeneous linear equations over abelian groups. The canonical case
    Deuber, Walter A.; Lefmann, Hanno
    Annals of the New York Academy of Sciences, v 555, May, 1989, p 167, Compendex.
  15. Partition regular systems of homogeneous linear equations over abelian groups: the canonical case.
    Deuber, Walter A.; Lefmann, Hanno
    Combinatorial Mathematics: Proceedings of the Third International Conference (New York, 1985), 167--170, Ann. New York Acad. Sci., 555, New York Acad. Sci., New York, 1989, MathSciNet.
  16. Extension Of Karmarkar's Algorithm For Solving A System Of Linear Homogeneous Equations On The Simplex.
    de Ghellinck, G.; Vial, J. -Ph.
    Mathematical Programming, v 39, n 1, Sep, 1987, p 79-92, Compendex.
  17. Classifying Row-Reduced Echelon Matrices (in Classroom Capsules)  
    Stewart Venit; Wayne Bishop  
    The College Mathematics Journal, Vol. 17, No. 2. (Mar., 1986), pp. 169-170, Jstor.  
  18. A remark on homogeneous linear equations with variable coefficients.
    Hirasawa, Yoshikazu
    Kodai Math. J. 9 (1986), no. 2, 266--271, MathSciNet.
  19. On the solution of systems of homogeneous linear equations. (Russian)
    Vavilov, N. A.
    Algebra and discrete mathematics: the theoretical foundations of software (Russian), 37--42, 104, 160--161, Latv. Gos. Univ., Riga, 1986, MathSciNet.
  20. Solution of homogeneous linear equations. (Russian)
    Godunov, S. K.
    Current problems in numerical mathematics and mathematical modeling, 179--188, 262, "Nauka" Sibirsk. Otdel., Novosibirsk, 1985, MathSciNet.
  21. The Reduced Row Echelon Form of a Matrix is Unique: A Simple Proof (in Notes)  
    Thomas Yuster  
    Mathematics Magazine, Vol. 57, No. 2. (Mar., 1984), pp. 93-94, Jstor.  
  22. Matrices with Integer Entries and Integer Eigenvalues (in Notes)  
    J.-C. Renaud  
    The American Mathematical Monthly, Vol. 90, No. 3. (Mar., 1983), pp. 202-203, Jstor.  
  23. Algorithmes De Recherche Des Solutions Entieres Positives D'un Systeme Lineaire D'equations Homogenes.
    [Algorithms For Finding Solutions To Positive Integers In A Linear System Of Homogeneous Equations].
    Alaiwan, Haissam; Memmi, Gerard
    Revue Technique Thomson - CSF, v 14, n 1, Mar, 1982, p 125-135 Language: French, English, Compendex.
  24. Performance Characteristics Of A Linear System Solver On A Homogeneous Multiprocessor.
    D'Hollander, E. H.
    North-Holland Publ Co (Participants Ed), 1981, p 469-477, Compendex.
  25. Some consequences of the application of the Lobachevski\u\i -Graeffe method to homogeneous linear systems of degree N. (Romanian)
    Stoian, Z.
    Bul. Inst. Politehn. Bucuresti Ser. Mec. 43 (1981), no. 2, 11--14, MathSciNet.
  26. A note on matrix games and dual systems of real homogeneous linear equations.
    Kuo, Yueh-er
    Soochow J. Math. 5 (1979), 197--199, MathSciNet.
  27. Linear systems on homogeneous spaces.
    Kempf, George R.
    Ann. of Math. (2) 103 (1976), no. 3, 557--591, MathSciNet.
  28. Automatisation D'un Processus Iteratif Convergent De Resolution De Systemes Lineaires Homogenes Et Parametriques Par Un Calculateur Hybride.
    [Hybrid Computer Automation Of A Convergent Iterative Process For Solving Linear Homogeneous And Parametric Systems].
    Soldat, Georges; Mesnard, Guy
    Annales de l'Association Internationale pour le Calcul Analogique, v 14, n 1, Jan, 1972, p 6-9 Language: French, English, Compendex.
  29. On a class of solutions of algebraic homogeneous linear equations.
    Pethö, Á.
    Acta Math. Acad. Sci. Hungar 18 1967 19--23, MathSciNet.
  30. Infinite linear systems with homogeneous kernel of degree-1.
    Cherry, T. M.
    J. Austral. Math. Soc. 5 1965 129--168, MathSciNet.
  31. On solutions, containing "many" zeros, of systems of homogeneous linear equations. (Hungarian)
    Pethö, Árpád; Györy, Kálmán
    Mat. Lapok. 16 1965 267--273, MathSciNet.
  32. On the solution of systems of non-homogeneous linear equations. (Ukrainian)
    Meuizlik, L.;  Skrasek, J.
    Akad. Nauk Ukraïn. RSR Prikl. Meh. 7 1961 52--60, MathSciNet.
  33. On infinite sets of homogeneous linear equations in Hilbert space.
    Hilding, S. H.
    Quart. J. Math., Oxford Ser. 17, (1946). 240--244, MathSciNet.
  34. Solution of homogeneous linear equations by iteration method.
    Hopstein, N. M.
    C. R. (Doklady) Acad. Sci. URSS (N.S.) 43, (1944). 372--375, MathSciNet.
  35. On doubly symmetric determinants and corresponding homogeneous linear systems of equations. (Norwegian)
    Ore, Aadne
    Norsk Mat. Tidsskr. 24, (1942). 65--73, MathSciNet.
  36. Non-homogeneous linear equations in infinitely many unknowns.
    Pell, A. J.
    Ann. of Math. (2) 16 (1914/15), no. 1-4, 32--37, MathSciNet.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004