Matrix Operations

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Contents

The Plus suite

The Minus suite

The Times suite

The H suite

Core matrices in Jampack participate in the core matrix operations. They are: addition, subtraction, multiplication by a scalar, matrix multiplication, and (conjugate) transposition. Jampack provides four suites of static methods (Plus, Minus, Times, and H) to perform these operations. The core matrix operations are implemented for all combinations of the core matrix classes. Most of these methods have the generic name "o" and are distinguished from one another by the types in their argument lists.

The Plus suite

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The Plus suite implements matrix-matrix addition. The methods all throw a JampackException for nonconformity of dimensions.

public static Zmat o(Zmat A, Zmat B)

Returns A + B.

public static Zmat o(Zmat A, Zdiagmat D)

Returns A + D.

public static Zmat o(Zdiagmat D, Zmat B)

Returns D + B.

public static Zdiagmat o(Zdiagmat D₁, Zdiagmat D₂ )

Returns D₁ + D₂.

The Minus suite

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The Minus suite implements unary minus and matrix-matrix subtraction. The methods for matrix-matrix subtraction throw a JampackException for nonconformity of dimensions.

public static Zmat o(Zmat A)

Returns -A.

public static Zdiagmat o(Zdiagmat D)

Returns -D.

public static Zmat o(Zmat A, Zmat B)

Returns A - B.

public static Zmat o(Zmat A, Zdiagmat D)

Returns A - D.

public static Zmat o(Zdiagmat D, Zmat B)

Returns D - B.

public static Zdiagmat o(Zdiagmat D₁, Zdiagmat D₂ )

Returns D₁ - D₂.

The Times suite

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The Times suite implements scalar-matrix and matrix-matrix multiplication. The methods for matrix-matrix multiplication throw a Jampack exception for nonconformity of dimensions. Two special methods (Times.aha and Times.aah) return A^HA and AA^H as a Zpsdmat.

public static Zmat o(Z z, Zmat A)

Returns zA.

public static Zdiagmat o(Z z, Zdiagmat D)

Returns zD.

public static Zmat o(Zmat A, Zmat B)

Returns AB.

public static Zmat o(Zdiagmat D, Zmat A)

Returns DA.

public static Zmat o(Zmat A, Zdiagmat D)

Returns AD.

public static Zdiagmat o(Zdiagmat D₁, Zdiagmat D₂)

Returns D₁D₂.

public static Zpsdmat aha(Zmat A)

Returns A^HA.

public static Zpsdmat aah(Zmat A)

Returns AA^H.

The H suite

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The H suite implements the conjugate transpose of a matrix. It has two generic methods.

public static Zmat o(Zmat A)

Returns A^H.

public static Zdiagmat o(Zdiagmat D)

Returns D^H.

The method trans computes the transpose of a Zmat.

public static Zmat trans(Zmat A)

Returns A^T.