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Linear Algebra References

Important: The linalg package has been deprecated. Use the superseding packages, LinearAlgebra and VectorCalculus, instead.

 

General References for linalg Routines

Reference for gaussjord and rref

Reference for frobenius and jordan

Reference for hadamard

Reference for hermite, ihermite, smith, and ismith

General References for linalg Routines

  

Golub, Gene H., and Van Loan, Charles F. Matrix Computations. Baltimore: Johns Hopkins University Press, 1989. 642 pp.

  

Schey, Harry. Div, Grad, Curl, and All That; an Informal Text on Vector Calculus. New York: Norton, 1973. 163 pp.

  

Strang, Gilbert. Linear Algebra and its Applications. 3rd ed. San Diego: Harcourt, Brace, Jovanovich Publishers, 1988. 505 pp.

Reference for gaussjord and rref

  

Noble, Benjamin, and Daniel, James. Applied Linear Algebra. 3rd ed. Englewood Cliffs, New Jersey: Prentice Hall, 1988. 521 pp.

Reference for frobenius and jordan

  

Ozello, Patrick. "Calcul exact des formes de Jordan et de Frobenius d'un matrix." Doctoral Thesis, 1987.

Reference for hadamard

  

Goldstein, A.J., and Graham, R.L. "A Hadamard-Type Bound on the Coeffs of a Determinant of Polynomials." SIAM Review, Vol. 16. (1974): 394-395.

Reference for hermite, ihermite, smith, and ismith

  

Kannan, Ravindran, and Bachem, Achim. "Polynomial Algorithms for Computing the Smith and Hermite Normal Forms of an Integer Matrix." SIAM Journal of Computing, Vol. 8 No. 4. (November 1979): 499-507.