A new approach to fracture mechanics.
Răducanu, Răzvan (2004)
APPS. Applied Sciences
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Răducanu, Răzvan (2004)
APPS. Applied Sciences
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Mazanik, S.A. (1998)
Memoirs on Differential Equations and Mathematical Physics
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Zapiski Nauchnykh Seminarov POMI
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This note contains a transparent presentation of the matrix Haffian. A basic theorem links this matrix and the differential ofthe matrix function under investigation, viz ∇F(X) and dF(X). Frequent use is being made of matrix derivatives as developed by Magnus and Neudecker.
Janaki, T.M., Rangarajan, Govindan (2003)
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Charles R. Johnson, Robert B. Reams (2016)
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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).
Dario A. Bini (2014)
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Raphael Loewy (2012)
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Let A be an n×n irreducible nonnegative (elementwise) matrix. Borobia and Moro raised the following question: Suppose that every diagonal of A contains a positive entry. Is A similar to a positive matrix? We give an affirmative answer in the case n = 4.
M.G. Lazic (1974)
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M. Haverić (1984)
Matematički Vesnik
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