Proving matrix equations.

Deutch, Michael

Displaying similar documents to “Proving matrix equations.”

Lappo-Danilevskij systems and their place among linear systems.

Mazanik, S.A. (1998)

Memoirs on Differential Equations and Mathematical Physics

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On a nonnegative irreducible matrix that is similar to a positive matrix

Raphael Loewy (2012)

Open Mathematics

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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.

The matrix equation $A X - Y B = C$ and related problems.

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

Zapiski Nauchnykh Seminarov POMI

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Note on Some Mercerian Theorems

Branislav Martić (1984)

Publications de l'Institut Mathématique

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Expression for a general element of an $SO (n)$ matrix.

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

International Journal of Mathematics and Mathematical Sciences

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Sufficient conditions to be exceptional

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).

The problem of kings.

Larsen, Michael (1995)

The Electronic Journal of Combinatorics [electronic only]

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The combinatorially symmetric $P$ -matrix completion problem.

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

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

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