AbstractGiven 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
Two transformations are proposed that give orthogonal components with a one-to-one correspondence be...
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...
Given a square matrix A, we discuss the problem of seeking some constrained matrix C which satisfies...
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...
Gower has shown how to partition the sum of squares of an asymmetric matrix into independent parts a...
AbstractIf A and B are matrices such that ||A + zB|| ⩾ ||A|| for all complex numbers z, then A is sa...
Abstract: In this paper we study sequences of vector orthogonal polynomials. The vector orthogonalit...
The optimization problems involving orthogonal matrices have been formulated in this work. A lower b...
International audienceThe singular value decomposition C = U*Lambda*transpose(V) is among the most u...
Bailey and Gower examined the least squares approximation C to a symmetric matrix B, when the square...
Two transformations are proposed that give orthogonal components with a one-to-one correspondence be...
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...
Given a square matrix A, we discuss the problem of seeking some constrained matrix C which satisfies...
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...
Gower has shown how to partition the sum of squares of an asymmetric matrix into independent parts a...
AbstractIf A and B are matrices such that ||A + zB|| ⩾ ||A|| for all complex numbers z, then A is sa...
Abstract: In this paper we study sequences of vector orthogonal polynomials. The vector orthogonalit...
The optimization problems involving orthogonal matrices have been formulated in this work. A lower b...
International audienceThe singular value decomposition C = U*Lambda*transpose(V) is among the most u...
Bailey and Gower examined the least squares approximation C to a symmetric matrix B, when the square...
Two transformations are proposed that give orthogonal components with a one-to-one correspondence be...
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...
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