### On a variant of the matrix transformation method for approximate solution of partial differential equations of second degree

A. Szustalewicz (1971)

Applicationes Mathematicae

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A. Szustalewicz (1971)

Applicationes Mathematicae

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Al&#039;pin, Yu.A., Ilyin, S.N. (2005)

Zapiski Nauchnykh Seminarov POMI

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Branislav Martić (1984)

Publications de l'Institut Mathématique

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Mazanik, S.A. (1998)

Memoirs on Differential Equations and Mathematical Physics

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Larsen, Michael (1995)

The Electronic Journal of Combinatorics [electronic only]

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Zuber, Irina E. (1998)

Journal of Applied Mathematics and Stochastic Analysis

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Johnson, Charles R., Kroschel, Brenda K. (1996)

ELA. The Electronic Journal of Linear Algebra [electronic only]

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Janaki, T.M., Rangarajan, Govindan (2003)

International Journal of Mathematics and Mathematical Sciences

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M. Haverić (1984)

Matematički Vesnik

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Charles R. Johnson, Robert B. Reams (2016)

Special Matrices

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A copositive matrix A is said to be exceptional if it is not the sum of a positive semidefinite matrix and a nonnegative matrix. We show that with certain assumptions on A−1, especially on the diagonal entries, we can guarantee that a copositive matrix A is exceptional. We also show that the only 5-by-5 exceptional matrix with a hollow nonnegative inverse is the Horn matrix (up to positive diagonal congruence and permutation similarity).

Lemma, Mulatu, Tessema, George (2000)

International Journal of Mathematics and Mathematical Sciences

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