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A new characterization of generalized complementary basic matrices

Miroslav Fiedler, Frank J. Hall (2014)

Special Matrices

In this paper, a new characterization of previously studied generalized complementary basic matrices is obtained. It is in terms of ranks and structure ranks of submatrices defined by certain diagonal positions. The results concern both the irreducible and general cases.

A New Characterization of Generalized Complementary Basic Matrices

Miroslav Fiedler, Frank J. Hall (2014)

Special Matrices

In this paper, a new characterization of previously studied generalized complementary basic matrices is obtained. It is in terms of ranks and structure ranks of submatrices defined by certain diagonal positions. The results concern both the irreducible and general cases

A note on the matrix Haffian.

Heinz Neudecker (2000)

Qüestiió

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.

A note on the scalar Haffian.

Heinz Neudecker (2000)

Qüestiió

In this note a uniform transparent presentation of the scalar Haffian will be given. Some well-known results will be generalized. A link will be established between the scalar Haffian and the derivative matrix as developed by Magnus and Neudecker.

Aspects of non-commutative function theory

Jim Agler, John E. McCarthy (2016)

Concrete Operators

We discuss non commutative functions, which naturally arise when dealing with functions of more than one matrix variable.

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