Given a square matrix A, we discuss the problem of seeking some constrained matrix C which satisfies (i) A + C = M and (ii) AC = M where M is symmetric, or nearly so. Typical constraints on C include low rank, orthogonality and low-rank departures from a unit matrix. Graphical representation is discussed
Abstract. We begin by partitioning all real 2 X 2 orthogonal matrices into two forms: symmetric and ...
AbstractThe paper deals with those orthogonal matrices which can be expressed as linear combinations...
International audienceIn this note we give a general solution of a matrix approximation problem for ...
AbstractGiven a square matrix A, we discuss the problem of seeking some constrained matrix C which s...
AbstractLet A and B be rectangular matrices. Then A is orthogonal to B if∥A+μB∥⩾∥A∥foreveryscalarμ.S...
In a square asymmetric matrix, the relationships among objects in the lower triangular half-matrix, ...
We derive the necessary and sufficient conditions of and the expressions for the orthogonal solution...
The subject of matrices and their applications is of great importance, for this branch of mathematic...
AbstractIf A and B are matrices such that ||A + zB|| ⩾ ||A|| for all complex numbers z, then A is sa...
Gower has shown how to partition the sum of squares of an asymmetric matrix into independent parts a...
The optimization problems involving orthogonal matrices have been formulated in this work. A lower b...
Abstract: In this paper we study sequences of vector orthogonal polynomials. The vector orthogonalit...
International audienceThe singular value decomposition C = U*Lambda*transpose(V) is among the most u...
Two transformations are proposed that give orthogonal components with a one-to-one correspondence be...
Bailey and Gower examined the least squares approximation C to a symmetric matrix B, when the square...
Abstract. We begin by partitioning all real 2 X 2 orthogonal matrices into two forms: symmetric and ...
AbstractThe paper deals with those orthogonal matrices which can be expressed as linear combinations...
International audienceIn this note we give a general solution of a matrix approximation problem for ...
AbstractGiven a square matrix A, we discuss the problem of seeking some constrained matrix C which s...
AbstractLet A and B be rectangular matrices. Then A is orthogonal to B if∥A+μB∥⩾∥A∥foreveryscalarμ.S...
In a square asymmetric matrix, the relationships among objects in the lower triangular half-matrix, ...
We derive the necessary and sufficient conditions of and the expressions for the orthogonal solution...
The subject of matrices and their applications is of great importance, for this branch of mathematic...
AbstractIf A and B are matrices such that ||A + zB|| ⩾ ||A|| for all complex numbers z, then A is sa...
Gower has shown how to partition the sum of squares of an asymmetric matrix into independent parts a...
The optimization problems involving orthogonal matrices have been formulated in this work. A lower b...
Abstract: In this paper we study sequences of vector orthogonal polynomials. The vector orthogonalit...
International audienceThe singular value decomposition C = U*Lambda*transpose(V) is among the most u...
Two transformations are proposed that give orthogonal components with a one-to-one correspondence be...
Bailey and Gower examined the least squares approximation C to a symmetric matrix B, when the square...
Abstract. We begin by partitioning all real 2 X 2 orthogonal matrices into two forms: symmetric and ...
AbstractThe paper deals with those orthogonal matrices which can be expressed as linear combinations...
International audienceIn this note we give a general solution of a matrix approximation problem for ...
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