2021Unpublished venueRequires access

Multi-Way Decomposition for Oblique Projection and Its Applications

Xuejing Zhang

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Abstract

In this paper, the oblique projection is revisited by presenting some new findings. It is proved that an orthogonal projector can be expressed as a summation of multiple oblique projectors, each of which has a specific range and null space. Several geometrical illustrations are presented to provide a better understanding of the proposed model. Some applications of the multi-way decomposition of oblique projection are demonstrated.

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What this paper is about

In this paper, the oblique projection is revisited by presenting some new findings. It is proved that an orthogonal projector can be expressed as a summation of multiple oblique projectors, each of which has a specific range and null space. Several geometrical illustrations are presented to provide a better understanding of the proposed model. Some applications of the multi-way decomposition of oblique projection are demonstrated.

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Available abstract

In this paper, the oblique projection is revisited by presenting some new findings. It is proved that an orthogonal projector can be expressed as a summation of multiple oblique projectors, each of which has a specific range and null space. Several geometrical illustrations are presented to provide a better understanding of the proposed model. Some applications of the multi-way decomposition of oblique projection are demonstrated.

Key concepts: Oblique projection, Oblique case, Projection (relational algebra), Decomposition, Projector, Computer science, Orthographic projection, Null (SQL)

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